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

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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 position function of a particle moving along a coordinate line that satisfies the given conditions. Find the position function of a particle moving along a coordinate line that satisfies the given conditions.   ,s (0)= 5,v (0)= 0 ,s (0)= 5,v (0)= 0

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Find the maximum or minimum point(s)of the function Find the maximum or minimum point(s)of the function

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The graph of the derivative The graph of the derivative   of a continuous function f is shown.On what intervals is f decreasing?   . of a continuous function f is shown.On what intervals is f decreasing? The graph of the derivative   of a continuous function f is shown.On what intervals is f decreasing?   . .

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Use the Second Derivative Test to find the relative extrema,if any,of the function Use the Second Derivative Test to find the relative extrema,if any,of the function   . .

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A car braked with a constant deceleration of 40 A car braked with a constant deceleration of 40   ,producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied? ,producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied?

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Find f, Find f,

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Find the critical numbers of Find the critical numbers of   . .

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Find two positive numbers whose product is 121 and whose sum is a minimum.

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Find the critical numbers of the function. Find the critical numbers of the function.

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Use Newton's method with the specified initial approximation Use Newton's method with the specified initial approximation   to find   ,the third approximation to the root of the given equation.(Round your answer to four decimal places.)  to find Use Newton's method with the specified initial approximation   to find   ,the third approximation to the root of the given equation.(Round your answer to four decimal places.)  ,the third approximation to the root of the given equation.(Round your answer to four decimal places.) Use Newton's method with the specified initial approximation   to find   ,the third approximation to the root of the given equation.(Round your answer to four decimal places.)

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

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A steel pipe is being carried down a hallway 14 ft wide.At the end of the hall there is a right-angled turn into a narrower hallway 6 ft wide.What is the length of the longest pipe that can be carried horizontally around the corner? A steel pipe is being carried down a hallway 14 ft wide.At the end of the hall there is a right-angled turn into a narrower hallway 6 ft wide.What is the length of the longest pipe that can be carried horizontally around the corner?

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Find the critical number(s),if any,of the function Find the critical number(s),if any,of the function   . .

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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

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Find the absolute maximum and absolute minimum values,if any,of the function Find the absolute maximum and absolute minimum values,if any,of the function   on   . on Find the absolute maximum and absolute minimum values,if any,of the function   on   . .

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