do part A and draw stuff please This problem extends Example 5.14 and Exercise 5.19, allowing us to compute the following integralssimultaneously: For m e N, considersin(x)drx2m + 4280cos(r)dr.r2m + 4280and(a) Let f(2) =R> V4280.andz2m + 4280Compute ff where og is the positively oriented semicircle formed by the line segment [-R, R]on the real axis, followed by the circular arc of radius R in the upper half plane from R to –R.DRAW STUFF, but don't prove anything for part (a).(b) Prove that limr-∞ Sa. f = 0. HINTS: Show |f(2)| <2for sufficiently large |2|.|z/2mHow large is |ei=| in the upper half plane?(c)Use the results of (a) and (b) to compute the integrals below and prove yourcomputations are correct.sin(x)dra2m + 4280cos(r)anddr.a2m + 4280(One of these can be computed quickly using an idea from calculus, by the way.)

Name: do part A and draw stuff please This problem extends Example 5.14 and
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: do part A and draw stuff please This problem extends Example 5.14 and Exercise 5.19, allowing us to compute the following integralssimultaneously: For m e N, considersin(x)drx2m + 4280cos(r)dr.r2m + 4280and(a) Let f(2) =R> V4280.andz2m + 4280Compute