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Water is flowing into a hemispherical bowl of radius 5 feet at a constant rate of 1 cubic foot per minute.
(a) At what rate is the top surface of the water rising when its height above the bottom of the bowl is 3 feet? 4 feet? 5 feet?
(b) If h(t) is the depth in feet at time t, find the second derivative of h when h=3, h=4, and h=5.
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Please include, as a second attachment, your Excel workbook that includes all of your work for ratios, trends analyses, and other assessment tools that you use.
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