When the height of the water is 5 feet, the height is increasing at the rate of 0.26 foot per minute. (c) The area, in square feet, of the horizontal cross section at height h feet is modeled by the function f given byīased on this model, find the volume of the tank. (b) Does the approximation in part (a) overestimate or underestimate the volume of the tank? Explain your reasoning. (a) Use a left Riemann sum with the three subintervals indicated by the data in the table to approximate the volume of the tank. Selected values for A(h) are given in the table above.
The function A is continuous and decreases as h increases. The area of the horizontal cross section of the tank at height h feet is given by the function A, where A(h) is measured in square feet. Questions And Worked Solutions For AP Calculus AB 2017ĪP Calculus AB 2017 Free Response Questions - Complete Paper (pdf)ĪP Calculus AB 2017 Free Response Question 1
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