23. Suppose that water is stored in a cylindrical tank of radius5 m. If the height of the water in the tank is h, then the volumeof the water is V = 7.the water at a rate of 250 liters per minute, what is the rate atwhich the water level inside the tank drops? (Note that 1 cubicmeter contains 1000 liters.)h = (25m2)7h = 25mh m2. If we drain

Answered: 23. Suppose that water is stored in a…

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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5. A dock sits above the water. A rope is attached to a pulley on the edge of the dock. The pulley is located 5ft vertically above the water on the dock. The other end of the rope is attached to a float floating on the water. The rope is pulled in at a constant rate of 3 ft/s. How fast is the float traveling on the surface of the water (towards the dock) at the moment when the boat is 12ft from the dock? Hint: The edge of the dock, down to the water, then over to the float, makes a triangle. d山T06 NOV 10 PACES 18 MacBook Air DII
3) Water is running from a vertical cylindrical tank 3 m in diameter at the rate of 3nyh ,where h is the depth of the min water in the tank. How fast is the surface of the water falling when h= 9 m?
14) if the surface area S of rectangular box with a square base is increasing at the rate of 288 square ft/min and Length L is increasing at the rate of 3ft /min. Find the rate at which the height H is changing at the instant in time when the length L is 6 ft and the height H is 8ft. S=2L²+4LH
20. Al and Bob are at opposite ends of a diameter of a silo in the shape of a tall right circular cylinder with radius 150 ft. Al is due west of Bob. Al begins walking along the edge of the silo at 6 ft per second at the same moment that Bob begins to walk due east at the same speed. The value closest to the time in seconds when Al first can see Bob is: A. 46 В. 47 С. 48 D. 49 E. 50
6. A fuel truck, has a cylindrical tank of radius R = 2 m and length L 10 m lying horizontally. The volume of gasoline in the tank is given by L (R² cos¹ (RRH) - - (R-h)√2Rh-h² (R- where h is the vertical height of the gasoline in the tank. If gasoline is being pumped into the tank at a rate of 2 m³/min, how fast is the gasoline level rising when the height h of the gasoline is 1 m?

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