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42. Integrate (7x³ + 4x²) dx. a. b. C. 7x+4x+C 7x+4x²+C 3 C. 3 3 7x3 d. 4 3 7x+4x+C 3

42. Integrate (7x³ + 4x²) dx. a. b. C. 7x+4x+C 7x+4x²+C 3 C. 3 3 7x3 d. 4 3 7x+4x+C 3

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.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 35E
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42. Integrate (7x³ + 4x²) dx. 7x3 4x4 a. + 4 b. 4x4 C. 3 + C ***+7x+C Π 43. Integrate Jễ sinxdx. a. 0.335 b. 0.355 +++ c. 0.533 d. 0.535 44. What is the area between y = 0. y 3x2, x = 0 and x = 2? a. 2.3 b. 6 45. Integrate 2x45x²-4 dx f √ x² a. 4x²+x+5x¹ + C b. 5x2+x+4x¹ +C c. 6.33 d. 8 c. x²+5x+4x¹ + C d. x²-5x+4x¹ + C 46. Find the volume of the solid generated when the area bounded by the curve y²=x, the x-axis and the line x = 2 is revolved about the x-axis. a. 4π C. b. 3л d. 2 47. Find the moment of inertia with respect to x-axis of the area bounded by the parabola y² and the line x = 1. a. 2.13 b. 2.03 c. 2.33 d. 2.53 48. Find the work done on a spring when you compress it from its natural length of 1 m to a length of 0.75 m if the spring constant is k = 16 N/m. a. 5 J b. 12 J c. 8 J d. 0.5 J 49. A leaky bucket weighing 5N is lifted 20 m into the air at a constant speed. The bucket starts with 2 N of water and leaks at a constant rate. It finishes draining just as it reaches the top. How much work was done lifting the water. Assume that the weight of the rope is negligible. a. 40 J b. 20 J c. 2 J d. 0,5 J 50. A snail travels with velocity v(t) = 2 + 0.5sin(t). How far does the snail travel from t-x/2 s tot 2x s a 11 b. 9 c. 7 d. 13
Transcribed Image Text:42. Integrate (7x³ + 4x²) dx. 7x3 4x4 a. + 4 b. 4x4 C. 3 + C ***+7x+C Π 43. Integrate Jễ sinxdx. a. 0.335 b. 0.355 +++ c. 0.533 d. 0.535 44. What is the area between y = 0. y 3x2, x = 0 and x = 2? a. 2.3 b. 6 45. Integrate 2x45x²-4 dx f √ x² a. 4x²+x+5x¹ + C b. 5x2+x+4x¹ +C c. 6.33 d. 8 c. x²+5x+4x¹ + C d. x²-5x+4x¹ + C 46. Find the volume of the solid generated when the area bounded by the curve y²=x, the x-axis and the line x = 2 is revolved about the x-axis. a. 4π C. b. 3л d. 2 47. Find the moment of inertia with respect to x-axis of the area bounded by the parabola y² and the line x = 1. a. 2.13 b. 2.03 c. 2.33 d. 2.53 48. Find the work done on a spring when you compress it from its natural length of 1 m to a length of 0.75 m if the spring constant is k = 16 N/m. a. 5 J b. 12 J c. 8 J d. 0.5 J 49. A leaky bucket weighing 5N is lifted 20 m into the air at a constant speed. The bucket starts with 2 N of water and leaks at a constant rate. It finishes draining just as it reaches the top. How much work was done lifting the water. Assume that the weight of the rope is negligible. a. 40 J b. 20 J c. 2 J d. 0,5 J 50. A snail travels with velocity v(t) = 2 + 0.5sin(t). How far does the snail travel from t-x/2 s tot 2x s a 11 b. 9 c. 7 d. 13
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