Question 1 and 3 please! Math 152Week 12 Workshop Problems4/1/24Write up your solutions to each of these problems on a seperate sheet of paper.1. For each of the given functions, find the Taylor polynomial with the degree and center indicated.(a) Find T3(2), the third degree Taylor polynomial, for f(x) = tan(2x) centered at c =ה(b) Find T2(x), the second degree Taylor polynomial, for f(x)=√2+3x centered at c = 2.2. (a) Find T4(2), the 4th order Taylor polynomial centered at x=1, for In(r).(b) Use T4(x) to approximate the value of In(1.5). Then use the Taylor Remainder EstimationTheorem to estimate the error in approximating In(1.5) with this Taylor polynomial.(c) Would the expected error increase or decrease if we use Ts (2) to estimate In(1.5)? Would theexpected error increase or decrease if we use T4(r) to estimate In(1.9)? Explain each of youranswers in a sentence or two.3. For each of the given functions, find the Taylor series for the function centered at the indicated value.(a) f(z) = e/2, c = 2T(b) f(x) = cos(2), c =

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Math 152 Week 12 Workshop Problems 4/1/24 Write up your solutions to each of these problems on a seperate sheet of paper. 1. For each of the given functions, find the Taylor polynomial with the degree and center indicated. (a) Find T3(2), the third degree Taylor polynomial, for f(x) = tan(2x) centered at c= πT (b) Find T2(x), the second degree Taylor polynomial, for f(x) = 2+3x centered at c = 2. -

Math 152 Week 12 Workshop Problems 4/1/24 Write up your solutions to each of these problems on a seperate sheet of paper. 1. For each of the given functions, find the Taylor polynomial with the degree and center indicated. (a) Find T3(2), the third degree Taylor polynomial, for f(x) = tan(2x) centered at c= πT (b) Find T2(x), the second degree Taylor polynomial, for f(x) = 2+3x centered at c = 2. -

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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