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Problem 1. The function h = f(t) = 90 − 5(t − 2)2 , 0 ≤...

Problem 1. The function h = f(t) = 90 − 5(t − 2)2 , 0 ≤ t ≤ 6, gives the height of a rock (in meters) at time t seconds after being launched straight up from the edge of a cliff. (a) Sketch an accurate graph of the function h = f(t). Label the axes with the appropriate variable names and units. Label the curve with its equation. (b) Find a function g that expresses the time t when the rock is h meters above the ground and on its way up. Include the appropriate domain for the function g.

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