Exam 11: Limits: A Preview to Calculus

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Find the limit, if it exists. Find the limit, if it exists.

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Find the limit, if it exists. Find the limit, if it exists.

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Find the limit, if it exists. Find the limit, if it exists.

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Approximate the area under the curve using the given number of rectangles of equal width. Approximate the area under the curve using the given number of rectangles of equal width.    on    ; four rectangles with rightendpoints on Approximate the area under the curve using the given number of rectangles of equal width.    on    ; four rectangles with rightendpoints ; four rectangles with rightendpoints

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Find the limit of the summation. Find the limit of the summation.

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Find the limit of the summation. Find the limit of the summation.

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Find the limit, if it exists. Find the limit, if it exists.

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Use the graph to estimate the limit, if it exists. Use the graph to estimate the limit, if it exists.     Use the graph to estimate the limit, if it exists.

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Complete a table of values to four decimal places and use the result to estimate the limit. Complete a table of values to four decimal places and use the result to estimate the limit.

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Find the area under the curve on the specified interval. Find the area under the curve on the specified interval.

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Given the graphs of the functions f and g, find the limit, if it exists. Given the graphs of the functions f and g, find the limit, if it exists.     Given the graphs of the functions f and g, find the limit, if it exists.

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Find the derivative of f '(x). Find the derivative of f '(x).

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Find the limit, if it exists. Find the limit, if it exists.

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Find Find    Find

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The concentration C of a particular drug in a person's bloodstream t minutes after injection is given by The concentration C of a particular drug in a person's bloodstream t minutes after injection is given by   . What do you expect the concentration to be after several days? . What do you expect the concentration to be after several days?

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Evaluate the one-sided limits in order to find the limit, if it exists. Evaluate the one-sided limits in order to find the limit, if it exists.

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A person standing near the edge of a cliff 278 feet high throws a rock upward with an initial speed of 58 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time: A person standing near the edge of a cliff 278 feet high throws a rock upward with an initial speed of 58 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time:      . Find the velocity of the rock when t = 6 seconds. . Find the velocity of the rock when t = 6 seconds.

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Find Find      .   . Find      .

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Find the slope of the tangent line to the graph of f at the given point. Find the slope of the tangent line to the graph of f at the given point.   at the point   at the point Find the slope of the tangent line to the graph of f at the given point.   at the point

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Find the limit, if it exists. Find the limit, if it exists.

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