(c) Use Taylor's formula to find a positive integer n such that the error in the approximation In(5/4) - P,(5/4) is at most 0.01, and estimate In(5/4) using P,(5/4).

Q: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 for +1 for…

A:

Q: Q1/ Find the trigonometric Fourier series for this function f(x)=2x, and assume the integer n…

A:

Q: Q5: find the Fourier series of the following equation -x -1 < x < 0 f(x) = x 0 < x < 1 1<x<3 1

A: Solution:-

Q: Q2: Find the Fourier series of the function. f(E) = { for n >t > 0 for 2n >t > T } -2

A: Answer

Q: Q2: Find the Fourier series of the function. f(t) = -2 F(C) = { for n>t >0 for 2n >t > n }

A: Given function is, ft=2, 0&lt;t&lt;π-2, π&lt;t&lt;2π.

Q: Find the Residue of the function 1 by using Lourent's Series (1+2) (52) = (2)

A:

Q: Compute the Fourier series of the function f(t) = l f(t+ 27)

A: To find the fourier series of the function…

Q: Find a root greater than zero of f(x) = e² - 2x - 5 using the Fixed-Point Iteration Method with an…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: The number of iterations necessary to solve f(x) = x² – 6x + 5 in [0 ,4] using the bisection method…

A:

Q: Q1: Find the Fourier series of the following functions for π >t>0 for 2n >t >n 2 1. f(t) = -2 {|

A: These are all unrelated lengthy problems,by Bartleby policy I have to solve only first one.

Q: Q#02: Obtain the Fourier series for the function: (x+1 if -n<x < 0, f (x) = 2.x if 0<x< T.

A: Given function To determine the Fourier series Where,

Q: Q3 A: Expand the following function into its Fourier series : - 5 <x< 0 0 < x < 5 3

A:

Q: Q2: Find the Fourier series of the function. = { } for n>t >0 for 2n >t > TI 2 f(t) = -2 }

A:

Q: Q2. Find the Fourier series for the function f(x) = |x-x² for −1 < x < x<π]

A:

Q: {1- for 0 <1<t, f(r) = for t <1< a

A: Given the function fx=1-xt  for 0≤x≤t0         for t&lt;x≤π

Q: If x is the exact root of the equation f(x)=0 and x is the k-th approximation of x obtained with the…

A: Given that x* is the exact root of the equation f(x)=0 and xk is the kth approximation of x*…

Q: Q4. Find the Fourier series for f(x)= A – x _in the interval (0, 27). Deduce that 111

A: Let fx=π-x To find the Fourier series for fx in the interval 0,2π and further deduce…

Q: Find one positive root of f (x) = e" – 2x 5 using the Fixed-Point Iteration Method with an initial…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Find one positive root of f (x) = e* – 2x – 5 using the Fixed-Point Iteration Method with an initial…

A:

Q: Consider the function f(x) = Inx+2- whose graph is given below. (a) On the graph, illustrate how…

A: Draw a tangent line at f(x0) and if it crosses or cuts the x-axis then that point is x1. The Newton…

Q: Find the Fourier series of the function -1 for - π<χ < | f (x) = for < x < - TC + 1 for < x < T.

A:

Q: Q2: Find the Fourier series of the function. if – n<t < 0 2 r(t) = r(t + 2n) = r(t) if 0<t <n 2 --

A:

Q: Q2 \Find the Fourier series for the following equation T-X F(x) - -y

A: To find the Fourier series of the given Function, first we find the Fourier coefficients, then we…

Q: Find the Fourier series associated with the given functions S2. l-x, f(x) :

A:

Q: Q2. Find the Fourier Series Expansion of the following functions: f(x) = Sx + 2, if - 2 <x<0 if i)…

A: Note: According to Bartleby we have to sole only the first question please upload the question…

Q: Q2: Find the Fourier series of the function. F(C) ={ 2 f(t) = for n>t >0 for 2n >t > } -2

A:

Q: Q2: Find the Fourier series of the function. f(1) ={ } for n>t >0 for 2n >t > TI 2 } -2

A: Fourier series

Q: Obtain the Fourier series and find the first seven terms| 0, -T < x < 0 f(r) = 0 <x < T

A:

Q: Consider the equation f(x) = x* – 4x² + 4 and the problem of computing the positive root of f(x) =…

A: We are given the following function : f(x) = x4 - 4x2 + 4 And we have to find the root of the…

Q: Find the Fourier series representation of the odd extension of the function 0025.png «)-12-6x 0 < x…

A:

Q: Q2: Find the Fourier series of the function. for n >t > 0 for 2n >t > T 2 f(t) = 11) - { }

A:

Q: 5. Carry out the first three iterations by using bisection method to find the root of e^x−3x =0 on…

A: To perform the bisection method to obtain an approximate root for the given data

Q: Find Fourier Series of the Function f(x) = e**Ix-1| (-n < x < n) .

A: The function given to us is as follows: fx=ex2x-1 We know that the Fourier series of a function is…

Q: 17A Find the Fourier series of the following function f(x) = |피,

A:

Q: Use the order n = 2 Taylor approximations, with error term, expanded (a) about a = 1o, for both…

A: To find -  In big-Oh notation what is the order of the error for this method in terms of step size…

Q: Approximate the given quantity using Taylor polynomials with n=3 e^0.12

A:

Q: 5. Find the Fourier Series of the function: S0, -7 <x <0 f(x) 1, 0 <x< T

A:

Q: at what points x in the interval (-1,1] can one use the Lagrange Remainder Theorem to verify the…

A: The LaGrange remainder theorem:f (x) be a real valued function defined in I,i) f (x) has derivative…

Q: 5. Find the Fourier Series of the function: S0, f(x) -T < x < 0 1, 0 <x< T

A: The solution is given as

Q: determine the radius and convergence of E n=1 5xn/3n2

A:

Q: Q1/ Find the Fourier series for the Function f(x) = 4 – X² ,When – 2 <X< 2

A:

Q: Q5: find the Fourier series of the following equation - 1<x<0 f(x) = {x - {* 0<x< 1 1<x<3 1

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: 15. f(t) = e*, -n <x< 0

A:

Q: Find the Fourier series of the function f(x) = 4x2r², -π≤x≤T

A:

Q: The polynomial of degree 3 P(x), has a root of multiplicity 2 at x=5, and a root of multiplicity 1…

A: Root Multiplicity is the multiplicity of a member of a multiset is the number of times it appears in…

Q: Find the Fourier series to represent the function f(x) given by: -1 for - 1<x T f(x) = 0 for +1 for…

A:

Q: s) Find the Fourier series of the following function and discuss its convergence on the interval -1.…

A:

Q: Q2: Find the Fourier series of the function. f(t) = -2 for n>t >0 for 2n >t > n }

A:

Q: Find the root of f(z) = In(x/2) + 8z with Fixed Point Iteration method. %3D -In Take g (z) = and the…

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.