16 dz 12 + 4 (a) Evaluate the integral: Your answer should be in the form kr, where k is an integer. What is the value of k? 1 Hint: arctan(z) dz T2 +1 (b) Now, let's evaluate the same integral using a power series. First, find the power series for the function 16 f(z) = Then, integrate it from 0 to 2, and call the result S. S should be an infinite series. z2 + 4 What are the first few terms of S? 8 32 a2 20 128 az 112 512 576 ag = || ||
16 dz 12 + 4 (a) Evaluate the integral: Your answer should be in the form kr, where k is an integer. What is the value of k? 1 Hint: arctan(z) dz T2 +1 (b) Now, let's evaluate the same integral using a power series. First, find the power series for the function 16 f(z) = Then, integrate it from 0 to 2, and call the result S. S should be an infinite series. z2 + 4 What are the first few terms of S? 8 32 a2 20 128 az 112 512 576 ag = || ||
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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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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