4. Suppose that a ball has height h(t) = -4.9t2 + 10t +1 meters after t seconds. Suppose that the ball is caught at 2 m on its way down. What was the ball's average vertical velocity? Explain how the Mean Value Theorem guarantees that the ball will actually at an instant be traveling vertically at this velocity. At which instant t?

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A:

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A:

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.