Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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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
-
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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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