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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

image text in transcribed

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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