Question: could you please answer these two questions for me thank you so much. You may NOT use your calculator on the following three questions. 14.


could you please answer these two questions for me thank you so much.

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You may NOT use your calculator on the following three questions. 14. Let g be a function whose domain is the closed interval [0. 8]. The graph of g is shown above. The graph is made up of straight line segments and a semicircle. 2x1 Let x) = f gm dt. 0 A. ComputefGl B. What is the domain of l"? 0. Find f'(3). D. Find the xcoordinate of the absolute maximum of fon its domain. 15. Water is draining from a small cylindrical tank into a larger one below it. The small cylindrical tank has a radius of 4 feet and a height of 6 feet; the large cylindrical tank has a radius of 8 feet and a height of 16 feet. The small tank is initially full of water, and the water drains out at a rate of .+ cubic feet per second. Note: The volume of a cylinder is V = 1Tr2h. A. Find the volume V3 of the water remaining in the small tank as a function of time. B. How long does it take for the small tank to completely empty? G. Let 2 be the depth of the water in the large tank, which is initially empty. Compute 0%- D. What fraction of the total amount of water is in the large tank at time t = 6
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