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Please generate responses to questions in pics. Please show all work. thanks! Exercise 9: A tank has the shape of an inverted circular cone with

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Please generate responses to questions in pics.

Please show all work.

thanks!

image text in transcribed

Exercise 9: A tank has the shape of an inverted circular cone with base radius 4 m and height 12 m. It's filled with water to a height of 8 m. Find the work required to empty the tank by pumping all of the water to the top of the tank. ( The water mass density is 1000 kg/m3 .) Exercise 10: a) Find the average value of f(x) 2x(1-x) on the interval [0, 1]. b) Find c such that f(c) fa Exercise 11: Use the Substitution Method to evaluate the following integral:

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