Chapter 11, Problem 11.1LB

Show that the function Y₂º(0, ¢) = (5/16π)¹/² (3 cos² 0 — 1) is normalized over the interval 0 ≤ 0 ≤ π and 0 ≤ ø ≤ 2π. Match the items in the left column to the appropriate blanks in the sentences and the equations on the right. Make certain each sentence and equation is complete before submitting your answer. 2πT is -9/5 cos5 0+2 cos³ 0 - cos 0 3 cos² - 3 cos 0 + 1 -9 cos¹ 0 + 6 cos² 0 - cos is not ㅠ 1 9 cos4 - 6 cos² 0 + 1 dr = do d cos sin e do de 2πT 5 [ [ (xº (0, 0))² &T = (187) † do] s sin 0(3 cos² - 1)² de 16TT 0 0 ) de || 5 16п 5 16T Therefore, the function 0 π sin ( )= normalized over the interval 0 ≤ 0 ≤ π and 0 ≤ ≤ 2TT. Reset Help

An electrical signal is given by the function y(t) = sin(Pi*t). Determinethe root mean square value of this signal between t = 0, andt = 1/2.

Find zα/2 for α=0.14.