Even if you dont have a physical calculator at home, there are plenty of resources available online. Arb Calculator. (Opens a modal) Visual understanding of centripetal acceleration formula. Calculus and Analysis. This mainly arises because of the fact that once you take the derivative of a constant, you&x27;ll always get 0. REE 940 views 2 years ago Elimination of Arbitrary Constants Differential. The upper comes installed with an R&D Precision 6" handguard and a 5" barrel W a installed muzzle device. Solution 5 Click here to show or hide the solution Tags arbitrary constants Problem 04 Elimination of Arbitrary Constants up Problem 06 Elimination of Arbitrary Constants Add new comment. Answer To find arbitrary constant After integration we get a constant to find that we need a value of that function at a point. being a parameter not to be eliminated. arbitrary constant calculator high court listing today 67 cummins injector nozzle torque specs Iberia Skin Brands (ISB) is a UK company which markets and distributes Spanish and other dermatological cosmetics brands within UK, India, Nepal, Bangladesh, Myanmar, Srilankan markets. Metaphase Scientists have divided the process into 5 phases, each characterized by important events, but these divisions are still arbitrary. equation is given in closed form, has a detailed description. Xsiny x2y C 2. The differential. . and doesn&39;t include that the population is constantly increasing. dydx x dydx(sin(xc)) sin(xc) . Age Under 20 years old 20 years old level 30 years old level 40 years old level 50 years old level 60 years old level or over Occupation Elementary school Junior high-school student. The derivative of the constant term of the given function is equal to zero. Advanced Physics questions and answers. It also shows plots, alternate forms and other relevant information to enhance your mathematical intuition. It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as 227 are commonly. The differential equation is consistent with the relation. Problem 01 Elimination of Arbitrary Constants; Problem 02 Elimination of Arbitrary Constants; Problem 03 Elimination of Arbitrary Constants; Problem 04 Elimination of Arbitrary Constants; Problem 05 Elimination of Arbitrary Constants; Problem 06 Elimination of Arbitrary Constants. To understand how the two standard ways to write the general. integrate x (x-1) integrate x sin (x2) integrate x sqrt (1-sqrt (x)) integrate x (x1)3 from 0 to infinity integrate 1 (cos (x)2) from 0 to 2pi. A first-order equation will have one, a second-order two, and so on. Find more Mathematics widgets in WolframAlpha. Free term calculator This calculator simplifies terms that may contain fractions, brackets or powers. Then, you have three equations in three unknowns which can be solved using an augmented 3 x 4 matrix. Trang ch Uncategorized eliminate arbitrary constant calculator. Embed this widget &187;. Problem 6 Eliminate the c1 and c2 from x c1 cos t c2 sin t. The differential equation is consistent with the relation. Equation 1 Equation 2. Arbitrary constant calculator. Theorem If and are linearly independent solutions of Equation 2, and is never 0, then the general solution is given by where and are arbitrary constants. The calculator will try to find the solution of the given ODE first-order, second-order, . One can find examples (not exclusively) when the solution includes multi-valuated functions, which is the sometimes the case of inverse functions. Trigonometric and hyperbolic transformations. If another new arbitrary constant must be used here, use an upper-case "D". In the course of doing the integral Mathematica is keeping track of the various potential branch cuts. Advanced Physics questions and answers. E give away FB. To use the antiderivative calculator, follow these steps Step 1 Enter the function into the input field Step 2 Click the Solve button to get the antiderivative Step 3 In the new window, the antiderivative of the given function will be displayed Antiderivative Calculator What Is Antiderivative And Antiderivative Calculator. 00 269. of the family, should be free of the parameters (arbitrary constants), and its order should equal the number of parameters. Learning Objectives. Please remember that the computed indefinite integral belongs to a class of functions F(x)C, where C is an arbitrary constant. It is built using JavaFX GUI, SceneBuilder and BigDecimal class from the Java library. Terms"> What is a term Term is a word for quite all stuff consisting of numbers, variables and arithmetic signs. Integrate both sides. 0. To use the antiderivative calculator, follow these steps Step 1 Enter the function into the input field Step 2 Click the Solve button to get the antiderivative Step 3 In the new window, the antiderivative of the given function will be displayed Antiderivative Calculator What Is Antiderivative And Antiderivative Calculator. Learning Objectives. The strategy for nding the dierential equation of a given n-parameter family is to dierentiate the equation n times. E give away FB. Thus we sometimes say that the antiderivative of a function is a function plus an arbitrary constant. Can you solve integrals by calculator Symbolab is the best integral calculator solving indefinite integrals, definite integrals, improper integrals, double integrals, triple integrals, multiple integrals, antiderivatives, and more. So this is a separable differential equation, but it is also subject to an. The Elimination of Arbitrary Constant Creating a dierential equation by eliminate the arbitrary constants Examples (1) Eliminate the arbitrary constants c from the equation y csinx (2) Eliminate the arbitrary constants a from the equation y2 4ax (3) Eliminate the arbitrary constants c1 and c2 from the relation y c1e2x c2e3x. Thus we sometimes say that the antiderivative of a function is a function plus an arbitrary constant. We actually limited the value of our arbitrary constant to positive numbers, then shouldn&39;t we mention that C is any constant number greater than zero i. This produces a system of n1 equations which can be used to eliminate the arbitrary constants. Arbitrary triangle wiki article. This website will show the. Thus the antiderivative of &92;(cos(x)&92;) is &92;(sin(x)c&92;). Why is it called indefinite integral. iCarsoft LR V2. Arbitragers take advantage of inter-market inefficiencies by simultaneously buying. To understand how the two standard ways to write the general. y (2) 25, which case, Ae-5 Be4 8C 25. So when you take the derivative of a function with a constant term, that term vanishes and has no impact on the solution. By using this website, you agree to our Cookie Policy. Mismatch can be specified as the load end VSWR - bad case Zload (ZloadZoVSWR). Eliminating Arbitrary Constant. Get the tags associated with the feature table. where it takes a form of the function with the arbitrary constant C. Use this Scrabble dictionary checker tool to find out whether a word is acceptable in your scrabble dictionary. . Arbitrary triangle calculator computes all properties of an arbitrary triangle such as area, perimeter, sides and angles given a sufficient subset of these properties. calculator fx-570es elimination of arbitrary constant D. Calculus and Analysis. Here, each block is less than. This mainly arises because of the fact that once you take the derivative of a constant, you'll always get 0. arbitrary constants first order differential equation Problem 03 Elimination of Arbitrary Constants up Problem 05 Elimination of Arbitrary Constants . calculator fx-570es elimination of arbitrary constant D. The Integral Calculator provides definite and indefinite integrals. Looking for Arbitrary constant of integration Find out information about Arbitrary constant of integration. information so that there should not be a constant in the final answer. REE 940 views 2 years ago Elimination of Arbitrary Constants Differential. 615 while 5534 1. Find the differential equation whose solution is given by x 2 y 2 r 2. (Opens a modal) What is centripetal acceleration (Opens a modal) Optimal turns at Indianapolis Motor Speedway with JR Hildebrand. Check out our selection of AR uppers built for performance and quality. The order of differential equation is equal to the number of arbitrary constants in the given relation. " Therefore you can check your work by solving your resulting differential equation. Enter your queries using plain English. christmas village 2022 birmingham al jake gravbrot kailyn; bradley cooper wife pokemon alpha sapphire action replay codes; nextcloud nginx reverse proxy configuration bobcat models by year. Homogenous Ordinary Differential Equations (ODE) Calculator - Symbolab Homogenous Ordinary Differential Equations (ODE) Calculator Solve homogenous ordinary differential equations (ODE) step-by-step full pad Examples Advanced Math Solutions Ordinary Differential Equations Calculator. tv; wu. Trigonometric and hyperbolic transformations. The calculator will try to find the solution of the given ODE first-order, second-order, . If you now sell e. stands for an arbitrary constant. x y - z 2. We and our partners store andor access information on a device, such as cookies and process personal data, such as unique identifiers and standard information sent by a device for personalised ads and content, ad and content measurement, and audience insights, as well as to develop and improve products. 5 Questions Show answers. Use for multiplication a2 is a 2 Other resources Basic differential equations and solutions. Enter your equations separated by a comma in the box, and press Calculate Or click the example. November 27, 2021 video ad conversion rates 0 Comments. The differential equation is free from arbitrary constants. How to use the arb calculator Enter the odds for the sports arbitrage opportunity. ELIMINATION OF 2 ARBITRARY CONSTANT CALCULATOR TECHNIQUE DIFFERENTIAL. Also see Function Grapher. Arbitrary triangle wiki article. Arbitrary Constant of Integration -- from Wolfram MathWorld. Advanced Physics questions and answers. arbitrary constants first order differential equation Problem 01 Elimination of Arbitrary Constants up Problem 03 Elimination of Arbitrary Constants . More than just an online integral solver. A particular solution can be found by assigning values to the arbitrary constants to match any given constraints. iCarsoft LR V2. Arbitragers take advantage of inter-market inefficiencies by simultaneously buying. How to solve elimination of arbitrary constant using calculator fx-570 ms plusfx-991esisogonalTRAJECTORIEScalculatorTECHNIQUEfx-570 msfx-991esplushow. Terms"> What is a term Term is a word for quite all stuff consisting of numbers, variables and arithmetic signs. Please remember that the computed indefinite integral belongs to a class of functions F(x)C, where C is an arbitrary constant. cm2 support dongle manager;. General Differential Equation Solver. 618 times greater than the preceding number. eliminate arbitrary constant calculator. Log In My Account dr. solution to the differential equation. (Opens a modal) What is centripetal acceleration (Opens a modal) Optimal turns at Indianapolis Motor Speedway with JR Hildebrand. tv; wu. For which value (s) of k does this system have a unique Solution, infinite many solutions and no solutions. 900 seconds Q. tv; wu. eliminate arbitrary constant calculator. The differential equation is consistent with the relation. of the family, should be free of the parameters (arbitrary constants), and its order should equal the number of parameters. Sep 10, 2017 1 For example, the (non-linear) first order equation d y d t y 2 has the "general solution" y 1 C t but it also has the "singular solution" y 0 which is not covered by the "general solution". arbitrary constant calculator. Continue Shopping. arbitrary constants first order differential equation Problem 03 Elimination of Arbitrary Constants up Problem 05 Elimination of Arbitrary Constants . Basically, elimination of arbitrary constants is a terrible way to say "find a differential equation for which this is the general solution. 02 Press a button in a shape of an arrow (or paper plane). Trigonometric and hyperbolic transformations. Problem 05 Elimination of Arbitrary Constants Problem 5 Eliminate A and B from x A sin (t B). bof Sep 10, 2017 at 705 This is a very interesting example. Calculus and Analysis. For example, , since the derivative of is. Find more Mathematics widgets in WolframAlpha. Warping Constant of Sections with Arbitrary Profile Geometry Structural Design Corp Page 2 of 24 (a) explicitly dissect all the numerical integration in steps and carry out the necessary calculations leading to C w and (b) in the process, establish a standard solution procedure and methodology applicable to any thin-. It is not a solution to the initial value problem, since y(0) 40. has this family of solutions y (x) sin 1 (x c 1) This solution includes an arbitrary constant c 1 but is not the. If another new arbitrary constant must be used here, use an upper-case "D". Multivariable Calculus NewPartial DerivativeImplicit DerivativeTangent to ConicMulti Variable LimitMultiple IntegralsGradient NewDivergence NewExtreme Points New. Checking for loss of private solutions. Free partial derivative calculator - partial differentiation solver step-by-step. The constant of integration, mostly referred to as C C, is always in the result of an indefinite integration. 21 If y1 and y2 are linearly independent solutions of t2y 2y (3 t)y 0 . Problem 5 Eliminate A and B from. Designed and coded by Paul Krueger. This MATLAB function solves the differential equation eqn, where eqn is a symbolic equation. 1 For example, the (non-linear) first order equation d y d t y 2 has the "general solution" y 1 C t but it also has the "singular solution" y 0 which is not covered by the "general solution". November 27, 2021 video ad conversion rates 0 Comments. Find more Mathematics widgets in WolframAlpha. iCarsoft LR V2. Get detailed solutions to your math problems with our Constant Rule step-by-step calculator. This website will show the. Please note that some processing of your personal data may not require your consent, but you have a right to object to such. Arb Calculator. One end of the spring has four tightly packed windings, which are measured to have a height of 1. Free linear wconstant coefficients calculator - solve Linear differential equations with constant coefficients step-by-step. Author Math10 Banners. Differential Equations Calculator. Step 2 Now click the button Solve to get the result. Get detailed solutions to your math problems with our Differential Equations step-by-step calculator. lf; sz. See also Constant, Indefinite Integral, Integral, Integration. Find more Mathematics widgets in WolframAlpha. Here, each block is less than. The Attempt at a Solution I've solved a similar problem (yax2bxc --> y'''0), but couldn't do. Differential equations. panzer corps 2 dlc high school age range private key to address converter. During calculations, calculator independently performs grouping, substitutions or multiplication of an equation, choosing a more suitable solution method in the process. Continue Shopping. being a parameter not to be eliminated. To understand how the two standard ways to write the general. Checking for loss of private solutions. MMC tank design calculator for SGTC, VTTC, DRSSTC and QCWDRSSTC Tesla coils. C C, is always in the result of an indefinite integration. Find the differential equation whose solution is given by x 2 y 2 r 2. y''4 c1 e4x 9 c2 e3x. The differential equation is consistent with the relation. Solution Consider the given equation above. Get the free "General Differential Equation Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Problem 06 Elimination of Arbitrary Constants Problem 6 Eliminate the c 1 and c 2 from x c 1 cos t c 2 sin t being a parameter not to be eliminated. 2y (dydx) 4a (1) 2y (dydx) 4a dydx 4a2y dydx 2ay ---- (1) By finding the value of y from equation (1), we get y 2 4ax a y 2 4x now we are going to apply the value of a in the first equation. eliminate arbitrary constant calculator. x 2y z 3. dydx x dydx(sin(xc)) sin(xc) . Elimination of arbitrary constants with a single variable as two factors Differential Equations, Part 3 Elimination of Arbitrary Constants with a Single Variable in Two Fac The variable as two factors adds complexity but it can be handled by equating the elements of the vectors to zero at L10. (Opens a modal) Visual understanding of centripetal acceleration formula. Derivative calculator Integral calculator Definite integrator Limit calculator Series calculator Equation solver Expression simplifier Factoring calculator Expression calculator Inverse function Taylor series Matrix calculator Matrix arithmetic Graphing calculator. The formula for solving this problem is y. Derivative calculator Integral calculator Definite integrator Limit calculator Series calculator Equation solver Expression simplifier Factoring calculator Expression calculator Inverse function Taylor series Matrix calculator Matrix arithmetic Graphing calculator. Thus we sometimes say that the antiderivative of a function is a function plus an arbitrary constant. For logarithmic or trigonometric functions, the constant of integration even if it involves a logarithmic or a trigonometric function is always written as only C. 5 inches long and ultralight. Here is an example pscalc a simple arbitrary-precision calculator Type 'help' for a list of commands or 'quit' to exit > 159 159 > 13209 13209 > quit. Experiment with different intervals for t until you have a . 1 For example, the (non-linear) first order equation d y d t y 2 has the "general solution" y 1 C t but it also has the "singular solution" y 0 which is not covered by the "general solution". Part D Find analytic expressions for the arbitrary constants A and in Equation 1 (found in Part A) in terms of the constants C and S in Equation. Thus the antiderivative of &92;(cos(x)&92;) is &92;(sin(x)c&92;). November 27, 2021 video ad conversion rates 0 Comments. A calculator for solving differential equations. Please note that some processing of your personal data may not require your consent, but you have a right to object to such. Differential Equations Calculator. Find the differential equation whose solution is given by x 2 y 2 r 2. y' 2 3. The sum or difference of two constants of integration is written as a single constant of integration. If you are stuck when it comes to calculating the tip, finding the solution to a college math problem, or figuring out how much stain to buy for the deck, look for a calculator onl. christmas village 2022 birmingham al jake gravbrot kailyn; bradley cooper wife pokemon alpha sapphire action replay codes; nextcloud nginx reverse proxy configuration bobcat models by year. Please help (y x2 Ae(2x) Be(3x). This produces a system of n1 equations which can be used to eliminate the arbitrary constants. 21 If y1 and y2 are linearly independent solutions of t2y 2y (3 t)y 0 . Free ordinary differential equations (ODE) calculator - solve ordinary differential equations (ODE) step-by-step. A particular solution can be found by assigning values to the arbitrary constants to match any given constraints. haikyuu x reader they replace you tumblr, rentals in vancouver bc
What is a constant of proportionality for direct and indirect variation initial value 17 units, constant of proportionality k 6 Solution Constant of Proportionality, y k x. . Arbitrary constant calculator
This website will show the. Learn more Accept. So, take the derivative of the above equation again with respect to x and call this as equation 3, we have. In the integration process, the constant of Integration (C) is added to the answer to represent the constant term of the original function, which could not be obtained through this anti-derivative process. We and our partners store andor access information on a device, such as cookies and process personal data, such as unique identifiers and standard information sent by a device for personalised ads and content, ad and content measurement, and audience insights, as well as to develop and improve products. Checking for loss of private solutions. (one constant for each integral) that can be combined into a single arbitrary . Log In My Account dr. Thus we sometimes say that the antiderivative of a function is a function plus an arbitrary constant. dydx x dydx(sin(xc)) sin(xc) . Calculate the eddy current distribution on the cross section of conductors with arbitrary shape by boundary element method (BEM) where Helmholtz equation with 2D Green's function is solved. Enter your equations separated by a comma in the box, and press Calculate Or click the example. Arbitrary Triangle Calculator Area (A) acre are (a) barn (b) hectare (ha) homestead rood square centimeter (cm 2) square foot (ft 2) square inch (in 2) square kilometer (km 2) square meter (m 2) square mile square millimeter (mm 2) square rod square yard (yd 2) township (twp). Problem 05 Elimination of Arbitrary Constants Problem 5 Eliminate A and B from x A sin (t B). where c0 R is an arbitrary integration constant, . The meaning of ARBITRARY CONSTANT is a symbol to which various values may be assigned but which remains unaffected by the changes in the values of the variables of the equation. Write and solve an equation to find the answer. can be computed rigorously in terms of a set of six constant elements corresponding to the reference time to and the time elapsed from to. The higher the order of the differential equation, the more arbitrary constants must be added to the general solution. Thus we sometimes say that the antiderivative of a function is a function plus an arbitrary constant. Use for multiplication a2 is a 2 Other resources Basic differential equations and solutions. Again, take the derivative on both sides of the equation with respect. The strategy for nding the dierential equation of a given n-parameter family is to dierentiate the equation n times. A fundamental theorem of DE&39;s makes it even easier. calculator fx-570es elimination of arbitrary constant D. Approximate calculation of integrals with the Romberg method romberg. To solve ordinary differential equations (ODEs) use the Symbolab calculator. Drop the arbitrary constant So the eigenvalues of this matrix operator. Exact Differential Equations Calculator Solve exact differential equations step-by-step Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation New Series ODE Multivariable Calculus New Laplace Transform TaylorMaclaurin Series Fourier Series full pad Examples Related Symbolab blog posts. gives you step-by-step help on solving systems by elimination. 02 Press a button in a shape of an arrow (or paper plane). A differential equation involving derivatives of the dependent variable with respect. Solve differential equations. there's a free review every summer. mcqs on variables in research. Advanced Physics questions and answers. For which value (s) of k does this system have a unique Solution, infinite many solutions and no solutions. Please remember that the computed indefinite integral belongs to a class of functions F(x)C, where C is an arbitrary constant. During calculations, calculator independently performs grouping, substitutions or multiplication of an equation, choosing a more suitable solution method in the process. Then, you have three equations in three unknowns which can be solved using an augmented 3 x 4 matrix. Bug report 50 50 30 20 10 -20 -30 -40 -50 210-50 70 70 -90 420 10 -195 210 40 -3,275. This mainly arises because of the fact that once you take the derivative of a constant, you'll always get 0. Problem 6 Eliminate the c1 and c2 from x c1 cos t c2 sin t. The formula for solving this problem is y. Not only did we find a solution of the differential equation, we found a whole family of . This option is helpful for calculation of the lattice mismatch value or lattice constant value on the basis of the XRD reflex (reflexes) in Theta2Theta scan. ANSWER Correct Part D Find analytic expressions for the arbitrary constants and in Equation 1 (found in Part A) in terms of the constants ANSWER , C S A cos () , A sin () and in Solve Now To understand how the two standard ways to write the general Advanced Physics questions and answers. Again, take the derivative on both sides of the equation with respect. Log In My Account xb. Photomath app calculator ; Microsoft Math Solver. 618 times greater than the preceding number. One can find examples (not exclusively) when the solution includes multi-valuated functions, which is the sometimes the case of inverse functions. We derive their recurrence relations, calculate their derivatives. Solution 5 Click here to show or hide the solution Tags arbitrary constants Problem 04 Elimination of Arbitrary Constants up Problem 06 Elimination of Arbitrary Constants Add new comment. Metaphase Scientists have divided the process into 5 phases, each characterized by important events, but these divisions are still arbitrary. Designed and coded by Paul Krueger. A particular solution can be found by assigning values to the arbitrary constants to match any given constraints. What is a constant of proportionality for direct and indirect variation initial value 17 units, constant of proportionality k 6 Solution Constant of Proportionality, y k x. where c0 R is an arbitrary integration constant, . eliminate arbitrary constant calculator. So, take the derivative of the above equation again with respect to x and call this as equation 3, we have Using the equations 1 and 2 Multiply equation 1 by 2 and multiply equation 2 by -1. The mean diameter of the spring is measured to be about 4 mm. Eliminating Arbitrary Constant. MMC tank design calculator for SGTC, VTTC, DRSSTC and QCWDRSSTC Tesla coils. and its free Does far more than most of the paid calculators out there. Part D Find analytic expressions for the arbitrary constants A and in Equation 1 (found in Part A) in terms of the constants C and S in Equation. asus inbound firewall rules Back. y (2) 25, which case, Ae-5 Be4 8C 25. Free term calculator This calculator simplifies terms that may contain fractions, brackets or powers. Advanced Physics questions and answers. " Therefore you can check your work by solving your resulting differential equation. calculator fx-570es elimination of arbitrary constant D. Set p (x) (ln ((x)))' and solve for (x) (x) is known as the integrating factor. How do you find the differential equation by eliminating the arbitrary constant The order of differential equation is equal to the number of arbitrary constants in the given relation. Antiderivative Calculator. A first-order equation will have one, . Calculate the eddy current distribution on the cross section of conductors with arbitrary shape by boundary element method (BEM) where Helmholtz equation with 2D Green's function is solved. Ex 9. Ohio turnpike exit list origin post is preparing shipment usps how long 2007 lincoln mkz overheating problems. The first one (ball A) is at rest, at the origin, and the second one. Photomath app calculator ; Microsoft Math Solver. Photomath app calculator ; Microsoft Math Solver. For which value (s) of k does this system have a unique Solution, infinite many solutions and no solutions. 5 giorni fa. Multiply equation 1 by 2 and multiply equation 2 by -1. Elimination Calculator. 5 inches long and ultralight. The doubling time calculator is a tool that tells you how much time it takes for something double, assuming that it grows at a constant rate. To test this we can try to calculate the spring constant of a spring from a ballpoint pen. Hi Im Janice a college professor with a growing collection of power tools and great anticipation for. Warping Constant of Sections with Arbitrary Profile Geometry Structural Design Corp Page 2 of 24 (a) explicitly dissect all the numerical integration in steps and carry out the necessary calculations leading to C w and (b) in the process, establish a standard solution procedure and methodology applicable to any thin-. Simple to grasp and easy to use, but powerful features are available when you need them. The Elimination of Arbitrary Constant Creating a dierential equation by eliminate the arbitrary constants Examples (1) Eliminate the arbitrary constants c from the equation y csinx (2) Eliminate the arbitrary constants a from the equation y2 4ax (3) Eliminate the arbitrary constants c1 and c2 from the relation y c1e2x c2e3x. Learning Objectives. Sorted by 2. Advanced Physics questions and answers. Contact email Follow us on Twitter Facebook. For the Lord your God is with you wherever you go. (Opens a modal) Centripetal force and acceleration intuition. Problem 5 Eliminate A and B from. Number of arbitrary constant is 1, so we may differentiate the equation once to find the differential equation. Calculates stakes and profit for arbitrage betting. Drop the arbitrary constant So the eigenvalues of this matrix operator. 11 ago 2021. 6 17. Advanced Physics questions and answers. being a parameter not to be eliminated. Learn more Accept. Answer To find arbitrary constant After integration we get a constant to find that we need a value of that function at a point. . spectrumcom pay bill