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Consider the region bounded by y = x² and y = 3x. Each integral below gives the volume generated by rotating this region about some axis. Identify the axis of rotation for each integral. Hint: You may use some answers more than once. 3/² = ((3x)² - (x²) ²) dx ~S = ( ( 3x + 9)²³ - (x² + 9) ²) dx L² = ((9-x²)² - (9- 3x)²) dx [ 2x [² 2xy ( √5 - 1) dy S² = ( ( √² ) ² - ( ² ) ²) dy ~S² = ( ( 9 - ²)²³ - (9 - √5)²) dy x-axis y-axis ✓ X=9 X=-9 y=9 y=-9 y-axis x-axis ✓ 2л (9 − x) (3x − x²) dx ²2 (y + 9) (√5 - 1) dy

Consider the region bounded by y = x² and y = 3x. Each integral below gives the volume generated by rotating this region about some axis. Identify the axis of rotation for each integral. Hint: You may use some answers more than once. 3/² = ((3x)² - (x²) ²) dx ~S = ( ( 3x + 9)²³ - (x² + 9) ²) dx L² = ((9-x²)² - (9- 3x)²) dx [ 2x [² 2xy ( √5 - 1) dy S² = ( ( √² ) ² - ( ² ) ²) dy ~S² = ( ( 9 - ²)²³ - (9 - √5)²) dy x-axis y-axis ✓ X=9 X=-9 y=9 y=-9 y-axis x-axis ✓ 2л (9 − x) (3x − x²) dx ²2 (y + 9) (√5 - 1) dy

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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JUst write x-axis, y axis y=-9 x=-9 

just correct this all 

I tried i only get 18% correct

Consider the region bounded by y = x² and y = 3x. Each integral below gives the volume generated by rotating this region about some axis. Identify the axis of rotation for each integral. Hint: You may use some answers more than once. x-axis ✓ y-axis X=9 X=-9 y=9 y=-9 y-axis x-axis 3 [² = ((3x)² – (x²)²) d dx 0 3 [² x ((3x + 9)² - (x² + 9)²) d² dx 0 3 2 [²³π ((9− x²)² – (9 – 3x)²) dx Sö T 3 2π (9− x) (3x − x²) dx S √√² + ( ( √5)² – ( ² )³²) d. dy 0 2ny (√y-2) dy 3) 2 ~ L² = ( ( 9 - 3)² - ( 9 - √ » ) ²) dy 9 S. 2ñ (y + 9) (√ỹ − ²) dy -
Transcribed Image Text:Consider the region bounded by y = x² and y = 3x. Each integral below gives the volume generated by rotating this region about some axis. Identify the axis of rotation for each integral. Hint: You may use some answers more than once. x-axis ✓ y-axis X=9 X=-9 y=9 y=-9 y-axis x-axis 3 [² = ((3x)² – (x²)²) d dx 0 3 [² x ((3x + 9)² - (x² + 9)²) d² dx 0 3 2 [²³π ((9− x²)² – (9 – 3x)²) dx Sö T 3 2π (9− x) (3x − x²) dx S √√² + ( ( √5)² – ( ² )³²) d. dy 0 2ny (√y-2) dy 3) 2 ~ L² = ( ( 9 - 3)² - ( 9 - √ » ) ²) dy 9 S. 2ñ (y + 9) (√ỹ − ²) dy -
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