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- Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.Solve the problems below using the following steps; i.) Sketch the area, ii.) Determine the boundaries ?and ?, iii.) Set up the definite integral, iv.) Integrate 2.Find the area bounded by the parabola ?=8+2?−?2and the y-axis and the lines ?=−1and ?=3Find Moment x and Moment y for the first-quadrant area bounded by y2 = 4x, the x-axis and x = 4. (ans: 16, 128/5)
- Given the following equation:y = 2x − 3 , y = −3 , y = 3 Express the area in terms of integration.Find the area of the region that lies inside the first curve and outside the second curve. r = 4 − 4 sin(?), r = 4Two cars with velocities v1(t) and v2(t) (in meters per second) are tested on a straight track. Consider the following integrals as attched. (a) Write a verbal interpretation of each integral. (b) Is it possible to determine the distance between the two cars when t = 5 seconds? Why or why not? (c) Assume both cars start at the same time and place. Which car is ahead when t = 10 seconds? How far ahead is the car? (d) Suppose Car 1 has velocity v1 and is ahead of Car 2 by 13 meters when t = 20 seconds. How far ahead or behind is Car 1 when t = 30 seconds?