Let f(x)= = - 12 x² +1 Enter the antiderivative of f(x): +C A ball is shot from the ground straight up into the air wit

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Let F X 12 X 1 Enter The Antiderivative Of F X C A Ball Is Shot From The Ground Straight Up Into The Air Wit 1 (12.49 KiB) Viewed 45 times

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Let f(x)= = - 12 x² +1 Enter the antiderivative of f(x): +C
A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming that the air resistance can be ignored, how high does it go? Hint: The acceleration due to gravity is -32 ft per second squared.
Consider the function f(t) = 7 sec² (t) - 6t². Let F(t) be the antiderivative of f(t) with F(0) F(t) = - 0. Then
Consider the function f(x) whose second derivative is f''(x) = 8x + 4 sin(x). If f(0) = 2 and f'(0) = 3, what is f(x)?