Sin(x) can be expressed by Taylor series as below x5 x3 + 3! sin(x) =D Σn=o° (-1)"x2n+1 x7 (2n+1)! 5! 7! Write a F90 program to calculate sin(x) taking appropriate number of terms. Hints: • X always in radian • Let y=sin(x) • You have to have two do loops

Q: EX: - Derermine expoentail fourier series of X(t)=exp(2t) for -1<t<1 and has period of 2

A: Find the attachment for the solution.

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: 4) (x²D² + xD-1)y=16x³ y(1)=-1 y'(1)=1

A:

Q: 1. One period of a function is shown. Draw two more periods, indicate on the graph 2p and give the…

A:

Q: Q2/ Analyze the functions below using the fourier series: ーTくx<0 0, f(x) = {ェーX, TT - X, 0s x< T

A: Let us consider the function f(x) in the interval [-L,L] The Fourier series of the function  is…

Q: 3. (x) =|sin.x| if -p £x£p. Find the Fourier series of f(x) and the result of (2k)-1

A:

Q: a 1 - x²) cos(nx) dx F(x 一九 4 sin(nл) — 4nл соs(nл) — 2n²л² sin(n) πη3

A:

Q: 3/ Determine the Fourier series of the function shown. y=2 2- 2 -27 2т х 0 27

A:

Q: 9. Find the Fourier cosine series of f(x) = 1 on [0,1]

A:

Q: Find the Fourier series representation of the periodic function f(x) = cx? - d if -n « x < T if c =…

A:

Q: 7.29. (a) Expand f(x) = cos z, 0 << r, in a Fourier sine series.

A:

Q: If f(x) = 4,0 <x < 2n Find the Fourier sine series of f(x) A) Fes = En=1 [(-1)" – 1] sin () S %3D1 2…

A:

Q: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…

Q: 2*csch( 2*) d x cosh(2*)-sinh(2*)

A:

Q: Q4/ A: Find Fourier Series of the Function: f(x) = {-K -TAX<O 0 <x<*

A:

Q: Consider the following. S2x, 0sx < 1, sine series, period 4 f(x) (2, 1sx < 2; (a) Find the required…

A:

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: Determine the Fourier Series of the function below: * X, 0 < x < T | f(x) = { π < x < 2π, = π, and…

A: Given that  fx=x,0&lt;x&lt;ππ,π&lt;x&lt;2π with period 2π. Fourier series for any function:…

Q: What is the first term of the given Fourier series f(x) = 6 (-1)"+1 sin ( %3D Select one: None of…

A: The solution is given as

Q: ーTSェ<0, (b) f(x) 0Sまくす。

A: (b) Given function is fx=1,  −π≤x&lt;00,  0≤x&lt;π. We have to find the Fourier series of the given…

Q: Let ● 0 { (x - 1) Compute the Fourier cosine coefficients for f(x). Ao = -16/5 f(x) . . = • An =…

A:

Q: Pls solve this question correctly instantly in 5 min i will give

A:

Q: (b) f(x) - eª, -<< *.

A:

Q: -0.25 Find an approximation for (1 – e**-!) In(1 – cos(,r² - 1))d.r with Simpson's rule -1.25 using…

A: Given ∫-1.25-0.251-ex4-1ln1-cosx2-1dxand n=4

Q: Find the Fourier series representation of the periodic function below if c = 30 and d = 12. Then,…

A: The given problem is to find the Fourier series expansion for the given periodic function and value…

Q: Problem 7. Find a periodic Solution as a Fourier series to x" + 3x = F(t) Where F(t) = 2t on…

A: (a) Given that F(t)=2tF(−t)=−2t=−F(t)Therefore F(t) is an odd function.F(t) extends to [−π,π] so the…

Q: f(x) = sin (2x)| -T≤x≤0 0<x<*

A:

Q: -2 when -π<x<0 f(x) = (2 when 0<x<π %3D

A: This is a problem of Fourier series.

Q: 4 sinx+=sin3x +=sin5x+..... and that when x=, 1 1 6. If it is given that the Fourier Series is f(x)=…

A: The Fourier Series is

Q: Estimate cos(x²)dx by using a right-hand sum and 4 subintervals. |cos(x²)

A: