.oooo T-Mobile Wi-Fi 2:54 PM a gauchospace.ucsb.edu 1 Inn MATHEMATICAL ASSOCIATI
ID: 2858316 • Letter: #
Question
.oooo T-Mobile Wi-Fi 2:54 PM a gauchospace.ucsb.edu 1 Inn MATHEMATICAL ASSOCIATION OF AMERICA Logged in as jmendezvillanueva Log Out > webwork math3b-02-w16-atzberger hw6 18 HW6: Problem 18 Prev Up Next (1 pt) The volume of the solid obtained by rotating the region enclosed by about the line z =-4 can be computed using the method of disks or washers via an integral with limits of integration a = and b = The volume is V cubic units Note: You can earn full credit if the last question is correct and all other questions are either blank or correct. Preview Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.Explanation / Answer
y = x²
x = y²
Rotated about x = -4
x = y²
x = ± (y)
± (y) = y²
y = 0,1
V = [0,1] ((y) + 4)² - (y² + 4)² dy
= [0,1] (y + 8(y) + 16) - (y + 8y² + 16) dy
= [0,1] -y - 8y² + y + 8(y) dy
= (-y/5 - 8/3y³ + y²/2 + 16/3(y³)|[0,1]
= [ (-1/5 - 8/3 + 1/2 + 16/3) - 0 ]
= 94/30
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.