Question

a) Find the 2nd degree maclaurin polynomial for f(x) = sqrt(1+x) to estimate value of sqrt(1.1)...

a) Find the 2nd degree maclaurin polynomial for f(x) = sqrt(1+x) to estimate value of sqrt(1.1)

b)Find Taylor polynomial of 4th degree at x0=1 of f(x) = e^x to estimate value of e^5. Is the estimate good?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the Taylor polynomial of degree 3, centered at a=4 for the function f(x)= sqrt (x+4)
Find the Taylor polynomial of degree 3, centered at a=4 for the function f(x)= sqrt (x+4)
What is the 2nd order Taylor polynomial of the function f (x) = sqrt(x) at point...
What is the 2nd order Taylor polynomial of the function f (x) = sqrt(x) at point a = 4? Please solve it!!!
approximate the function f(x)= 1/sqrt(x) by a taylor polynomial with degree 2 and center a=4. how...
approximate the function f(x)= 1/sqrt(x) by a taylor polynomial with degree 2 and center a=4. how accurate is this approximation on the interval 3.5<x<4.5?
Find the 4th degree, T4 taylor polynomial for f(x)=arctan (x) centered at c=1/2 and use it...
Find the 4th degree, T4 taylor polynomial for f(x)=arctan (x) centered at c=1/2 and use it to aproximate f(x)= arctan (1/16)
What is the third degree maclaurin polynomial for f(x) = 4^-x?
What is the third degree maclaurin polynomial for f(x) = 4^-x?
Find the Maclaurin polynomial (c = 0) of degree n = 6 for f(x) = cos(2x)....
Find the Maclaurin polynomial (c = 0) of degree n = 6 for f(x) = cos(2x). Use a calculator to compare the polynomial evaluated at π/8 and cos(2π/8)
1. This question is on the Taylor polynomial. (a) Find the Taylor Polynomial p3(x) for f(x)=...
1. This question is on the Taylor polynomial. (a) Find the Taylor Polynomial p3(x) for f(x)= e^ x sin(x) about the point a = 0. (b) Bound the error |f(x) − p3(x)| using the Taylor Remainder R3(x) on [−π/4, π/4]. (c) Let pn(x) be the Taylor Polynomial of degree n of f(x) = cos(x) about a = 0. How large should n be so that |f(x) − pn(x)| < 10^−5 for −π/4 ≤ x ≤ π/4 ?
Determine the degree of the MacLaurin polynomial for the function f(x) = sin x required for...
Determine the degree of the MacLaurin polynomial for the function f(x) = sin x required for the error in the approximation of sin(0.3) to be less than 0.001, and this approximate value for sin(0.3).
1. Find T5(x): Taylor polynomial of degree 5 of the function f(x)=cos(x) at a=0. T5(x)=   Using...
1. Find T5(x): Taylor polynomial of degree 5 of the function f(x)=cos(x) at a=0. T5(x)=   Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.00054 of the right answer. Assume for simplicity that we limit ourselves to |x|≤1. |x|≤ = 2. Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series for the binomial:   (1+7x)^1/4 The first nonzero term is:     The second nonzero term is:     The third...
Find the MacLaurin series for f(x) = cos(5x^3 ) and its radius of convergence. Find the...
Find the MacLaurin series for f(x) = cos(5x^3 ) and its radius of convergence. Find the degree four Taylor polynomial, T4(x), for g(x) = sin(x) at a = π/4.