Question

Let f(x) = 2/ x and a = 1. (a) Find the third order Taylor polynomial,...

Let f(x) = 2/ x and a = 1. (a) Find the third order Taylor polynomial, T3(x), that approximates f near a. (b) Estimate the largest that |f(x)−T3(x)| can be on the interval [0.5,1.5] by using Taylor’s inequality for the remainder.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Use a definition of a Taylor polynomial to find the Taylor polynomial T2(x) for f(x)...
1. Use a definition of a Taylor polynomial to find the Taylor polynomial T2(x) for f(x) = x^3/2 centered at a = 4. We use T1(3.98) to approximate (3.98)^3/2. Apply Taylor’s inequality on the interval [3.98,4.02] to answer the following question: can we guarantee that the error |(3.98)^3/2 −T1(3.98)| of our approximation is less than 0.0001 ?
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 ?
Let f(x) =(x)^3/2 (a) Find the second Taylor polynomial T2(x) based at b = 1. x3....
Let f(x) =(x)^3/2 (a) Find the second Taylor polynomial T2(x) based at b = 1. x3. (b) Find an upper bound for |T2(x)−f(x)| on the interval [1−a,1+a]. Assume 0 < a < 1. Your answer should be in terms of a. (c) Find a value of a such that 0 < a < 1 and |T2(x)−f(x)| ≤ 0.004 for all x in [1−a,1+a].
(1 point) Find the degree 3 Taylor polynomial T3(x) centered at a=4 of the function f(x)=(7x−20)4/3....
(1 point) Find the degree 3 Taylor polynomial T3(x) centered at a=4 of the function f(x)=(7x−20)4/3. T3(x)= ? True False Cannot be determined The function f(x)=(7x−20)4/3 equals its third degree Taylor polynomial T3(x) centered at a=4. Hint: Graph both of them. If it looks like they are equal, then do the algebra.
(1 point) Find the degree 3 Taylor polynomial T3(x) of function f(x)=(7x+67)^(5/4) at a=2 T3(x)=?
(1 point) Find the degree 3 Taylor polynomial T3(x) of function f(x)=(7x+67)^(5/4) at a=2 T3(x)=?
Find the degree 3 Taylor polynomial T3(x) of function f(x)=(7x−5)^3/2 at a=2. T3(x)=
Find the degree 3 Taylor polynomial T3(x) of function f(x)=(7x−5)^3/2 at a=2. T3(x)=
Let f(x) = 1 + x − x2 +ex-1. (a) Find the second Taylor polynomial T2(x)...
Let f(x) = 1 + x − x2 +ex-1. (a) Find the second Taylor polynomial T2(x) for f(x) based at b = 1. b) Find (and justify) an error bound for |f(x) − T2(x)| on the interval [0.9, 1.1]. The f(x) - T2(x) is absolute value. Please answer both questions cause it will be hard to post them separately.
find the 6th order taylor polynomial for f(x) = xsin(x^2) centered at a=0.
find the 6th order taylor polynomial for f(x) = xsin(x^2) centered at a=0.
The second-order Taylor polynomial fort he functions f(x)=√1+x about X0= is P2=1+(x/2)-(x^2/2) using the given Taylor...
The second-order Taylor polynomial fort he functions f(x)=√1+x about X0= is P2=1+(x/2)-(x^2/2) using the given Taylor polynomial approximate f(0.05) with 2 digits rounding and the find the relative error of the obtained value (Note f(0.05=1.0247). write down the answer and all the calculations steps in the text filed.
Using the Taylor Remainder Theorem, what is the upper bound on | f (x) − T3(x)|,...
Using the Taylor Remainder Theorem, what is the upper bound on | f (x) − T3(x)|, for x ∈ [4, 10] if  f (x)  =  2 sin (x) and T3(x) is the Taylor polynomial centered on 7.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT