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##### A balloonist drops a sandbag from a balloon 160 feet above the ground

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solution

**Question**

Question;1-) A balloonist drops a sandbag from a balloon 160 feet above the ground. After t seconds, the sandbag is 160 -t^2 feet above the ground.a-) find the velocity of the sandbag at t = 1.b-) With what velocity does the sandbag strike the ground.12-) Find the average rate of change of y with respect to x on the given interval.(b) Find the instantaneous rate of change of y with respect to x at the left endpoint of the interval.y =x^2 + 2, [3, 3.5]3-) Use the f'(x)= lim (h-0) f(x + h) - f(x)/h to find f'(x). b-) Find the domain of f'. c) Find and equation of the tangent line to the graph of f at P. d) Find the points on the graph a which the tangent line is horizontal.f(x) = x^3 + x, [1,2]

Paper#61144 | Written in 18-Jul-2015

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