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Determine the volume generated by revolving the region below about the y-axis. y=3√x and y= X 4 V=T Setup the integral and find the answer. Hint: These functions can be written as, x=y³ and x = 4y 2 TS² ( (4 in the first quadrant only. ((4) ² - (y²³) ²) dy= 8 V=A /= z[" ( (4y) ² - (y^³) ²) dy=₁ 0 256 21 -π 512 21 -π

Determine the volume generated by revolving the region below about the y-axis. y=3√x and y= X 4 V=T Setup the integral and find the answer. Hint: These functions can be written as, x=y³ and x = 4y 2 TS² ( (4 in the first quadrant only. ((4) ² - (y²³) ²) dy= 8 V=A /= z[" ( (4y) ² - (y^³) ²) dy=₁ 0 256 21 -π 512 21 -π

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine the volume generated by revolving the region below about the y-axis. X y=3√x and y=— in the first quadrant only. 4 Setup the integral and find the answer. Hint: These functions can be written as, x=y³ and x=4 = 4y 2 = S² ( (4y)² – (y ³)²) dy= V=T 8 f(0 V=T *((4y) ² – (y³) ²) dy= V=T v=x ſª² ( (v³) ²− (4y) ²) dy= - 0 2 a S² ( (4y) ² - (y^³) ²) dy= V=A 256 21 512 21 256 21 512 21 π π π π 2 512 v== S² (0²)²-(4) ³) dy= 22 + V=A 3) 21
Transcribed Image Text:Determine the volume generated by revolving the region below about the y-axis. X y=3√x and y=— in the first quadrant only. 4 Setup the integral and find the answer. Hint: These functions can be written as, x=y³ and x=4 = 4y 2 = S² ( (4y)² – (y ³)²) dy= V=T 8 f(0 V=T *((4y) ² – (y³) ²) dy= V=T v=x ſª² ( (v³) ²− (4y) ²) dy= - 0 2 a S² ( (4y) ² - (y^³) ²) dy= V=A 256 21 512 21 256 21 512 21 π π π π 2 512 v== S² (0²)²-(4) ³) dy= 22 + V=A 3) 21
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