The trough shown in the figure below is 5 feet long, and its vertical cross sections...
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The trough shown in the figure below is 5 feet long, and its vertical cross sections are inverted isosceles triangles with base 2 feet and height 3 feet. Water is being siphoned out of the trough at the rate of 2 cubic feet per minute. At any time t, let h be the depth and be the volume of water in the trough. (A) (B) (C) Find the volume of water in the trough when it is full. full by volume? What is the rate of change in h at the instant when the trough is When is the rate of change in the area of the surface of the water (shaded in the figure) at 1 the instant when the trough is full by volume? 4 The trough shown in the figure below is 5 feet long, and its vertical cross sections are inverted isosceles triangles with base 2 feet and height 3 feet. Water is being siphoned out of the trough at the rate of 2 cubic feet per minute. At any time t, let h be the depth and be the volume of water in the trough. (A) (B) (C) Find the volume of water in the trough when it is full. full by volume? What is the rate of change in h at the instant when the trough is When is the rate of change in the area of the surface of the water (shaded in the figure) at 1 the instant when the trough is full by volume? 4
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