Chat with AIExam 4: Applications of Differentiation
Exam 1: Preparation for Calculus96 Questions
Exam 2: Limits and Their Properties119 Questions
Exam 3: Differentiation208 Questions
Exam 4: Applications of Differentiation147 Questions
Exam 5: Integration165 Questions
Exam 6: Differential Equations88 Questions
Exam 7: Applications of Integration90 Questions
Exam 8: Integration Techniques, L'Hôpital's Rule, and Improper Integrals142 Questions
Exam 9: Infinite Series199 Questions
Exam 10: Parametric Equations, Polar Coordinates, and Vectors173 Questions
Exam 11: Mechanical Ventilation and Sedation: Assessment, Medications, and Complications225 Questions
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Determine whether Rolle's Theorem can be applied to the function 
on the closed interval 
.If Rolle's Theorem can be applied,find all values of c in the open interval 
such that 
.
on the closed interval .If Rolle's Theorem can be applied,find all values of c in the open interval such that . (Multiple Choice)
4.8/5 
(39)
(39) The sum of the perimeters of an equilateral triangle and a square is 8.Find the dimensions of the triangle and the square that produce a minimum total area.
(Multiple Choice)
4.8/5 (37)
(37) Sketch the graph of the function 
and locate the absolute extrema of the function on the interval 
.
and locate the absolute extrema of the function on the interval . (Multiple Choice)
4.9/5 (45)
(45) A rectangular page is to contain 196 square inches of print.The margins on each side are 1 inch.Find the dimensions of the page such that the least amount of paper is used.
(Multiple Choice)
4.8/5 (47)
(47) Find the open interval(s)on which the function 
is decreasing in the interval 
.Round numerical values in your answer to three decimal places.
is decreasing in the interval .Round numerical values in your answer to three decimal places. (Multiple Choice)
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(33) Find the point of inflection of the graph of the function 
on the interval 
.
on the interval . (Multiple Choice)
4.9/5 (40)
(40) 
. Determine the open intervals on which the graph of 
is concave downward or concave upward.
is concave downward or concave upward. (Multiple Choice)
4.8/5 (32)
(32) Locate the absolute extrema of the function 
on the closed interval 
.
on the closed interval . (Multiple Choice)
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(29) The measurement of the radius of the end of a log is found to be 10 inches,with a possible error of 
inch.Use differentials to approximate the possible propagated error in computing the area of the end of the log.
inch.Use differentials to approximate the possible propagated error in computing the area of the end of the log. (Multiple Choice)
4.8/5 (37)
(37) Use a computer algebra system to graph the function 
and determine all absolute extrema on the interval 
.
and determine all absolute extrema on the interval . (Multiple Choice)
4.9/5 (31)
(31) The graph of f is shown below.On what interval is 
an increasing function? 
an increasing function? (Multiple Choice)
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(34) For time 
,a particle moves along the x-axis with position given by 
.What is the position of the particle when it is farthest to the left?
,a particle moves along the x-axis with position given by .What is the position of the particle when it is farthest to the left? (Multiple Choice)
4.8/5 (45)
(45) The graph of a function f is is shown below.Sketch the graph of the derivative 
. 
. (Multiple Choice)
4.9/5 (33)
(33) 
, 
.
A rectangle is drawn in the first quadrant so that it has two adjacent sides on the coordinate axes and one vertex on the curve 
.Find the x coordinate of the vertex for which the area of the rectangle is a maximum.
.Find the x coordinate of the vertex for which the area of the rectangle is a maximum. (Multiple Choice)
4.8/5 (33)
(33) 
. Determine whether Rolle's Theorem can be applied to the function 
on the closed interval 
.If Rolle's Theorem can be applied,find all numbers c in the open interval 
such that 
.
on the closed interval .If Rolle's Theorem can be applied,find all numbers c in the open interval such that . (Multiple Choice)
4.9/5 (37)
(37) 
. 
. 
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