DiffCalcSecondPartialReview

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Transcript of DiffCalcSecondPartialReview

Page 1: DiffCalcSecondPartialReview

Second Partial Review.Is f(x) continuous at the given point? Which condition fails? What type of discontinuity is it?

, at x = 1.

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Find the following limit.

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Find the following limit.

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Find the following limit.

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True or False:

If a function is defined at x = a, then it is continuous at that point.

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True or False:

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True or False:

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When a ball is dropped from a height of 256 feet, the distance it travels in t

seconds is given by s = 16 t2.Find the velocity at t = 2 seconds.

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True or False:

If f(x) = x2 and g(x) = x -2, then f(x) - g(x) = x2 - x - 2.

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Find the following limit.

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Find the following limit.

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Suppose that a ball is thrown straight upward so that its heightf(x) (in feet) is given by the equation

f(x) = 96 + 64x - 16x2,where x is time (in seconds).Find the instantaneous velocity at x = 1.