Evaluate the function f(x) = cosx by a Taylor polynomial of degree 4 centered at a = 0, and x = - =7 4 O a.2.2074 O b.4.2074 O c. 3.2074 O d. 0.7074 O e. 1.2074

Q: Express the 4th Taylor polynomial of the function f (x) = e3x at the neighborhood a = 1

A:

Q: Let f(x)= cos 2x-(x- 2) a) Find the 3rd Taylor polynomial about xo= 0.5 b) Using this polynomial…

A:

Q: Calculate M6 for f(x) = v7x over [3,6]. (Use decimal notation. Give your answer to two decimal…

A: The function is fx=7x over 3, 6. The number of sub-intervals is n = 6. Obtain the step-size as…

Q: the error estimate for Taylor polyno

A:

Q: Let g(x) = Vx . Form a Lagrange interpolating polynomial of degree two to approximate the value of…

A:

Q: Approximate F(x) throughout the given interval. F(x) = 6° e t/²dt, [0, 1] a. Use the first 3…

A: Given :-  The appropriate Fx throughout the given interval. F x  = ∫0x e-t22 dt  ,  0 , 1 To…

Q: For a given data (x,f(x)):(-1.89,-4.179169),(0,-1),( 1.89,9.323369), estimate the function value at…

A:

Q: Find the Maclaurin polynomial of degree 4 for the function. f(x) = cos(3x) Select one: O a. 1- O b.…

A:

Q: Find the interval for x where f(x) is increasing in this function: y = (x – 2)² - 3 O (- 3, 0) O (2,…

A: To determining intervals where a function is increasing or decreasing, first find domain values…

Q: Use bisection to find the root of function f(x) = x* – 18 that lies in the interval (1.8, 2.2)…

A: Given:           f(x) = x4-18 The root of f(x) lies in the interval (1.8, 2.2) The relative…

Q: Let f(x) = 1.26x* -x² + 1.85x² + 1.32x – 3. Determine the approximate root with at most 15% error…

A:

Q: Let f(x) = , defined on [0, +). Find the 10th Taylor (b) polynomial T1o(x) centered at a = 2. 3+x

A: Taylor series is nothing but expressing the infinitely differentiable function in terms of its…

Q: . Find a 3rd-degree Taylor polynomial for f(r) Simplify all coefficients, and keep all values exact.…

A:

Q: Calculate L6 for f(x) = √√/7x + 1 over [1,3].

A:

Q: Let r(t) be the hourly rate that an animal burns calories and R(t) is the total number of calories…

A:

Q: Let f (x) = 2x + 3. Compute R6 and L6 over [0, 3].

A:

Q: The interval in which the function f(x) = 2x – 12x is decreasing is O a. (-0,0) O b. (-0,-4) O c.…

A:

Q: f (x) = sin x at c = 4

A: Solution: Given, f(x)=sin x We have to find the Taylor polynomial P5(x) at c=π4 Formula:…

Q: Let f(x) = 0.85x* +x* – 1.26x² – 2.6x – 1. Which of the following is the approximate root x, if x =…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…