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Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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- A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.arrow_forwardLearnáng Acthvity 2. Evaluate the following integrals. Write your answer and solution on a sheet of yellow paper. 1. -3-'dx 2. S(5e" - 6")dz 3. S cot zdx 4. S(2 - csc ? x)dx 5. S1+ sec ? x drarrow_forward46. Evaluate the definite integral (3x² - 4x - 5)² (6x-4) dx. 81 215 7 135 3 173 6 8 47. Evaluate the definite integral (4x + 1)³ 4dx. a. 945 c. 2,345 b. 1,320 d. 1,640 48. Approximate the area beneath the curve y = x² + 1 and above the x-axis from x = 0 to x = 4 by using the Left Reimann Sum. Use n = 4. a. 11 square units c. 24 square units b. 18 square units d. 16 square units 49. Refer to the previous item. Solve the same problem but this time by using the Right Riemann Sum. a. 28 square units c. 64 square units b. 19 square units d. 15 square units 50. Find the area bounded by y=x²-4 and y = x + 2. a 42.912 c. 67.983 d. 20.833 b. 34.643 a. b d.arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
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