Exam 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
Exam 1: Functions and Limits51 Questions
Exam 2: Derivatives50 Questions
Exam 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions56 Questions
Exam 4: Applications of Differentiation29 Questions
Exam 5: Integrals41 Questions
Exam 6: Techniques of Integration43 Questions
Exam 7: Applications of Integration61 Questions
Exam 8: Series50 Questions
Exam 9: Parametric Equations and Polar Coordinates30 Questions
Exam 10: Ectors and the Geometry of Space68 Questions
Exam 11: Partial Derivatives71 Questions
Exam 12: Multiple Integrals54 Questions
Exam 13: Vector Calculus56 Questions
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Given
(a)Find the intervals on which f is increasing or decreasing.
(b)Find the relative maxima and relative minima of f.

(Multiple Choice)
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Use the guidelines of this section to sketch the curve.
Select the graph of the curve.

(Multiple Choice)
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A particle is moving with the given data.Find the position of the particle
, 


(Multiple Choice)
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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
, 


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

(Multiple Choice)
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Use the guidelines of this section to sketch the curve.
Select the graph of the curve.

(Multiple Choice)
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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. 

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



(Short Answer)
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Use the guidelines of this section to sketch the curve.
Select the graph of the curve.

(Multiple Choice)
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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.



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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
).Round the result,if necessary,to the nearest hundredth. 


(Multiple Choice)
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Use the guidelines of this section to sketch the curve.
Select the graph of the curve.

(Multiple Choice)
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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. 


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

(Multiple Choice)
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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
is
,find f (1).


(Multiple Choice)
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Use Newton's method to approximate the given number correct to eight decimal places 

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


(Short Answer)
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