4. Using a series representation of sin(7x), find values of a and b such that sin (7x) + +2/2+] = 0 x3 lim x-0 0.

Q: Confirm that summation d/36 ϕ(d) = 36 and summation d/36 (-1)^(36/d) ϕ(d) = 0

A: We have to confirm that ∑d/36φ(d)=36 and ∑d/36(-1)36/dφ(d)=0.

Q: Find the coefficient of x° in the power series of this function f(x) = (1–2x)2

A:

Q: Ax)

A:

Q: FIND THE TAYWR FUR f (x) = 7 X4 SERIES ABOUT X=-3

A:

Q: The question is to find a power series for the function centered at c f(x) = 5/(5-x) , c = -3

A:

Q: Write the sigma form for sin(x^2), Write the first 4 terms of the series approximation, and use the…

A: The given information is sinx2. Write the first 4 terms of the series approximation. Here we use…

Q: +00 (-1)"(3n + 4) 23n+3(n + 1) Differentiate the function f (x) = x ln(1 + x) to determine the sum…

A: The product rule of the differentiation is as follows: ddxu(x).v(x)=du(x)dx.v(x)+dv(x)dx.u(x)

Q: 1.1288 (x)=: tanh (1.3288V* )using bisection Determine the real root of method to locate the root.…

A: Function: f(x)=1.1288x-tanh1.3288x When x=1 and x=2,…

Q: How to write sin(x)cos(3x) in power series

A: We need to write sin(x)cos(3x) in the power series. Taylor series of function fx at a is defined as:…

Q: cosh(x) dx is The power series representation of

A:

Q: b, Find the sum of the series (x + 1)" n=2 and provide one of the intervals on which it converges.…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: 7 it y= sina 4x- sin" 4x, #ind y' 2 8. it y= cos Gx +sina 8x, #ind y' キind a. Find the Intervals on…

A:

Q: Prove that f(x) =- 2x(sinx+ tanx), is an odd function, where [] denotes %3D X+ 2n -3 the greatest…

A:

Q: sinx x0 e²x-1 5. Use power series to evaluate lim

A: Power series expansion

Q: help me with abc please

A: The objective of this question is to derive the Fourier sine series, Fourier cosine series, and the…

Q: f (x) = arctan(r²)

A: We know that power series of arctan(x)

Q: Σ (-1)"(n + 1)n² (2n)! -2n+1 — — п n=0

A: Find a power series representation for x2cos(2x).

Q: Differentiate the Maclaurin polynomial of degree 4 for f(x) = ex . Describe the relationship between…

A: Maclaurin polynomial of degree 4 is P4x=f0+f'0x+f''02!x2+f'''03!x3+f404!x4.

Q: te the Taylor series for f(x) = S

A:

Q: Q5) Find the root of f(x)= 5 sin(x) + ex² by using bisection method take a= -1.25 and b= -1.0 for…

A: Given, fx=5sinx+ex2. Here, a=-1.25b=-1.0 Now,…

Q: Expand ?(x) = x2, −1 < x < 1 into an appropriate cosine or sine series

A: Given,fx=x2   , -1&lt;x&lt;1

Q: Q2: Based on series solution of Legendre Equation (1-x)y"- 2xy'+ ((l+1)y=0 Find Legendre Polynomial…

A: We solve this using power series of differential equation

Q: 1 + X tanh (x) 1 In 2 - 1 - X

A: The solution is given as

Q: 16. Find a power series centered at zero for f(x) = 3-4x5

A: Just answering this to check if i am able to submit the answers or not. Please don't review this…

Q: Compute the Fourier sine series of S 1, 0<x < 1, ={2, 1sx<2, 2, 1<x < 2, on [0, 2]. Sketch both the…

A: