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29. The cross section of a semi-elliptical trough has a top diameter of 18 inches and height of 12 inches. Determine the width of water surface the trough if the depth of water is 8 inches. a. 15.91 in b. 14.35 in c. 15.28 in d. 16.97 in

29. The cross section of a semi-elliptical trough has a top diameter of 18 inches and height of 12 inches. Determine the width of water surface the trough if the depth of water is 8 inches. a. 15.91 in b. 14.35 in c. 15.28 in d. 16.97 in

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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29. The cross section of a semi-elliptical trough has a top diameter of 18 inches and height of 12 inches. Determine the width of water surface the trough if the depth of water is 8 inches. b. 14.35 in 30. Determine the length of the latus rectum of the ellipse 16x? + 25y² – 160x – 50y + 25 = 0. a. 15.91 in c. 15.28 in d. 16.97 in c. 0,8 31. Find the angle between the line 2y - 9x – 18 = 0 and the x – axis. c. 44.47° a. 4.6 b. 6.4 d. 1.8 a. 74.77° b. 77.47° d. 47.77° 32. Water is pouring at a varying rate into a swimming pool that is initially empty. After t hours, there are t + VT liters in the pool. At what rate is the water pouring into the pool when t = 9h? c. 5/6 L/h 33. A Toyota Land Cruiser drives east from point A at 30 kph. Another car, BMW, starting from B at the same time, drives S30°W toward A at 60 kph. B is 30 km away from A. How fast in kph is the distance between two cars changing after 30 mins? c. 50 kph 34. A rectangle is inscribed in a triangle whose sides are 5, 12, and 13 inches. Two adjacent sides of the rectangle lie along the legs a. 7/6 L/h b. 6/7 L/h d. 6/5 L/h a. 70 kph b. 60 kph d. 80 kph of a triangle. What is the maximum area? а. 10 in? b. 15 in? c. 20 in? d. 25 in? 35. A cable is to run from a power plant on one side of a river 900 m wide to a factory on the other side 3km away upstream. The cost of running the cable over the land is $4.00 per meter while the cost under water is $5.00 per meter. What total length of the cable must be runt at most economical cost? a. 3200 b. 3400 с. 3300 d. 3500
Transcribed Image Text:29. The cross section of a semi-elliptical trough has a top diameter of 18 inches and height of 12 inches. Determine the width of water surface the trough if the depth of water is 8 inches. b. 14.35 in 30. Determine the length of the latus rectum of the ellipse 16x? + 25y² – 160x – 50y + 25 = 0. a. 15.91 in c. 15.28 in d. 16.97 in c. 0,8 31. Find the angle between the line 2y - 9x – 18 = 0 and the x – axis. c. 44.47° a. 4.6 b. 6.4 d. 1.8 a. 74.77° b. 77.47° d. 47.77° 32. Water is pouring at a varying rate into a swimming pool that is initially empty. After t hours, there are t + VT liters in the pool. At what rate is the water pouring into the pool when t = 9h? c. 5/6 L/h 33. A Toyota Land Cruiser drives east from point A at 30 kph. Another car, BMW, starting from B at the same time, drives S30°W toward A at 60 kph. B is 30 km away from A. How fast in kph is the distance between two cars changing after 30 mins? c. 50 kph 34. A rectangle is inscribed in a triangle whose sides are 5, 12, and 13 inches. Two adjacent sides of the rectangle lie along the legs a. 7/6 L/h b. 6/7 L/h d. 6/5 L/h a. 70 kph b. 60 kph d. 80 kph of a triangle. What is the maximum area? а. 10 in? b. 15 in? c. 20 in? d. 25 in? 35. A cable is to run from a power plant on one side of a river 900 m wide to a factory on the other side 3km away upstream. The cost of running the cable over the land is $4.00 per meter while the cost under water is $5.00 per meter. What total length of the cable must be runt at most economical cost? a. 3200 b. 3400 с. 3300 d. 3500
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