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a) Find the volume of water in the trough when it is full.

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a) Find the volume of water in the trough when it is full.

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  1. The trough shown in the figure 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 V be the volume of water in the trough.

  2. a) Find the volume of water in the trough when it is full. b) What is the rate of change in h at the instant when the trough is ¼ full by volume? c) What is the rate of change in the area of the surface of the water (shaded in the figure) at the instant when the trough is ¼ full by volume?

  3. a) Find the volume of water in the trough when it is full.

  4. b) What is the rate of change in h at the instant when the trough is ¼ full by volume?

  5. b) What is the rate of change in h at the instant when the trough is ¼ full by volume?

  6. [ -2 , 0 ] [ 0 , 3 ] Solving for dh/dt graphically...

  7. Solving for dh/dt numerically...

  8. c) What is the rate of change in the area of the surface of the water (shaded in the figure) at the instant when the trough is ¼ full by volume?

  9. Any Questions?

  10. THE END

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