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4 Y y = 1 x = y² B A (0,0) y = x² C (1, 1) X=1 X

4 Y y = 1 x = y² B A (0,0) y = x² C (1, 1) X=1 X

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 36CR
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4 Y y = 1 x = y² B A (0,0) y = x² C (1, 1) X=1 X
Transcribed Image Text:4 Y y = 1 x = y² B A (0,0) y = x² C (1, 1) X=1 X
6. Which definite integral represents the volume of the solid generated when region A is revolved about the line x = 0? A.V = ₁¹ny²dy B. V = 2n (x-x) dx C. V = ny dy √²¹ D. V = n(1-x) dx 7. What is the volume integral for the solid generated when region B is revolved about the line x = 1? AV = √²¹ 2n (x³ − x² − x² + x³) dx C. V = S¹² π (y¹ − 2y² + 2yz −y) dy B. V = √² 2π (x² – x³) dx D. V = n(y¹ - y)dy 8. Set up the definite integral for the volume of the solid generated when region C is revolved about the y-axis. A. V = π ² (1 – 2y + y) dy C. V = 2π f(x¹ - x)dx D. V = 2n¹x³dx B. V = π (1 - y²) dy 9. Find the moment of region B with respect to the x-axis. A. M₂ = ³/0 3 B. Mx = 3/ C. Mx = 20 10 10. What is the x-coordinate of the centroid of region B? A. x = 0.45 B. x = 0.35 C. x = 0.40 11. The moment of region C with respect to the x-axis is A M₂ = ²¹x²dx B. Mx = 1¹¹-³ dy 11-y 1 C. Mx = √²/dx 2 D. Mx = 20 D. x = 0.55 D. Mx =√1¹²¹ dy 2
Transcribed Image Text:6. Which definite integral represents the volume of the solid generated when region A is revolved about the line x = 0? A.V = ₁¹ny²dy B. V = 2n (x-x) dx C. V = ny dy √²¹ D. V = n(1-x) dx 7. What is the volume integral for the solid generated when region B is revolved about the line x = 1? AV = √²¹ 2n (x³ − x² − x² + x³) dx C. V = S¹² π (y¹ − 2y² + 2yz −y) dy B. V = √² 2π (x² – x³) dx D. V = n(y¹ - y)dy 8. Set up the definite integral for the volume of the solid generated when region C is revolved about the y-axis. A. V = π ² (1 – 2y + y) dy C. V = 2π f(x¹ - x)dx D. V = 2n¹x³dx B. V = π (1 - y²) dy 9. Find the moment of region B with respect to the x-axis. A. M₂ = ³/0 3 B. Mx = 3/ C. Mx = 20 10 10. What is the x-coordinate of the centroid of region B? A. x = 0.45 B. x = 0.35 C. x = 0.40 11. The moment of region C with respect to the x-axis is A M₂ = ²¹x²dx B. Mx = 1¹¹-³ dy 11-y 1 C. Mx = √²/dx 2 D. Mx = 20 D. x = 0.55 D. Mx =√1¹²¹ dy 2
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