Exam 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

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Given Given   (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of f. (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of f.

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Find the absolute minimum value(s) of Find the absolute minimum value(s) of   on the interval [0,6]. on the interval [0,6].

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Use the guidelines of this section to sketch the curve. Use the guidelines of this section to sketch the curve.   Select the graph of the curve. Select the graph of the curve.

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A particle is moving with the given data.Find the position of the particleA particle is moving with the given data.Find the position of the particle  ,  , A particle is moving with the given data.Find the position of the particle  ,

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Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.Then find all numbers c that satisfy the conclusion of Rolle's Theorem Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.Then find all numbers c that satisfy the conclusion of Rolle's Theorem   ,  , Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.Then find all numbers c that satisfy the conclusion of Rolle's Theorem   ,

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Given Given    (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of f. (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of f.

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Use the guidelines of this section to sketch the curve. Use the guidelines of this section to sketch the curve.   Select the graph of the curve. Select the graph of the curve.

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Find the maximum area of a rectangle that can be circumscribed about a given rectangle with length L = 8 and width W = 3. Find the maximum area of a rectangle that can be circumscribed about a given rectangle with length L = 8 and width W = 3.

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Use Newton's method to approximate the indicated root of Use Newton's method to approximate the indicated root of   in the interval   ,correct to six decimal places. Use   as the initial approximation. in the interval Use Newton's method to approximate the indicated root of   in the interval   ,correct to six decimal places. Use   as the initial approximation. ,correct to six decimal places. Use Use Newton's method to approximate the indicated root of   in the interval   ,correct to six decimal places. Use   as the initial approximation. as the initial approximation.

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Use the guidelines of this section to sketch the curve. Use the guidelines of this section to sketch the curve.   Select the graph of the curve. Select the graph of the curve.

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At 4:00 P.M. a car's speedometer reads 25 At 4:00 P.M. a car's speedometer reads 25   .At 4:15 it reads 72   .At some time between 4:00 and 4:15 the acceleration is exactly x   .Find x. .At 4:15 it reads 72 At 4:00 P.M. a car's speedometer reads 25   .At 4:15 it reads 72   .At some time between 4:00 and 4:15 the acceleration is exactly x   .Find x. .At some time between 4:00 and 4:15 the acceleration is exactly x At 4:00 P.M. a car's speedometer reads 25   .At 4:15 it reads 72   .At some time between 4:00 and 4:15 the acceleration is exactly x   .Find x. .Find x.

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A woman at a point A on the shore of a circular lake with radius 4 mi wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible time.She can walk at the rate of 6 mi/h and row a boat at 2 mi/h .How should she proceed? (Find A woman at a point A on the shore of a circular lake with radius 4 mi wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible time.She can walk at the rate of 6 mi/h and row a boat at 2 mi/h .How should she proceed? (Find   ).Round the result,if necessary,to the nearest hundredth.  ).Round the result,if necessary,to the nearest hundredth. A woman at a point A on the shore of a circular lake with radius 4 mi wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible time.She can walk at the rate of 6 mi/h and row a boat at 2 mi/h .How should she proceed? (Find   ).Round the result,if necessary,to the nearest hundredth.

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Use the guidelines of this section to sketch the curve. Use the guidelines of this section to sketch the curve.   Select the graph of the curve. Select the graph of the curve.

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Find the most general antiderivative of the function. Find the most general antiderivative of the function.

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The graph below is the graph of function f on the interval The graph below is the graph of function f on the interval   Find the absolute maximum and absolute minimum values of f (if they exist)and where they are attained.  Find the absolute maximum and absolute minimum values of f (if they exist)and where they are attained. The graph below is the graph of function f on the interval   Find the absolute maximum and absolute minimum values of f (if they exist)and where they are attained.

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Given Given    (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of f. (a)Find the intervals on which f is increasing or decreasing. (b)Find the relative maxima and relative minima of f.

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Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at   is   ,find f (1). is Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at   is   ,find f (1). ,find f (1).

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Find f, Find f,

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Use Newton's method to approximate the given number correct to eight decimal places Use Newton's method to approximate the given number correct to eight decimal places

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Sketch the graph of Sketch the graph of   on   and find its absolute maximum and absolute minimum values,if any. on Sketch the graph of   on   and find its absolute maximum and absolute minimum values,if any. and find its absolute maximum and absolute minimum values,if any.

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