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6. (a) (b) (c) Find the third order Maclaurin polynomial for f(x) = e-/2. Show your work. Use T3(x; 0) your answer in part (a) to approximate e-0.1. Round to 4 decimal places. If x ≤ 0.2, find a reasonable upper bound on the error in approximating f(x) by T3 (x; 0). Round to 3 decimal places past the leading 0's. Show your work.

6. (a) (b) (c) Find the third order Maclaurin polynomial for f(x) = e-/2. Show your work. Use T3(x; 0) your answer in part (a) to approximate e-0.1. Round to 4 decimal places. If x ≤ 0.2, find a reasonable upper bound on the error in approximating f(x) by T3 (x; 0). Round to 3 decimal places past the leading 0's. Show your work.

Advanced Engineering Mathematics
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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6. (a) (b) (c) Find the third order Maclaurin polynomial for f(x) = e-/2. Show your work. Use T3(x; 0) your answer in part (a) to approximate e-0.1. Round to 4 decimal places. If x ≤ 0.2, find a reasonable upper bound on the error in approximating f(x) by T3 (x; 0). Round to 3 decimal places past the leading O's. Show your work.
Transcribed Image Text:6. (a) (b) (c) Find the third order Maclaurin polynomial for f(x) = e-/2. Show your work. Use T3(x; 0) your answer in part (a) to approximate e-0.1. Round to 4 decimal places. If x ≤ 0.2, find a reasonable upper bound on the error in approximating f(x) by T3 (x; 0). Round to 3 decimal places past the leading O's. Show your work.
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