Exam 5: Integration
Exam 1: Preparation for Calculus125 Questions
Exam 2: Limits and Their Properties85 Questions
Exam 3: Differentiation193 Questions
Exam 4: Applications of Differentiation154 Questions
Exam 5: Integration184 Questions
Exam 6: Differential Equations93 Questions
Exam 7: Applications of Integration119 Questions
Exam 8: Integration Techniques and Improper Integrals130 Questions
Exam 9: Infinite Series181 Questions
Exam 10: Conics, Parametric Equations, and Polar Coordinates114 Questions
Exam 11: Vectors and the Geometry of Space130 Questions
Exam 12: Vector-Valued Functions85 Questions
Exam 13: Functions of Several Variables173 Questions
Exam 14: Multiple Integration143 Questions
Exam 15: Vector Anal142 Questions
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The maker of an automobile advertises that it takes 13 seconds to accelerate from 5 kilometers per hour to 65 kilometers per hour. Assuming constant acceleration, compute the acceleration in meters per second per second. Round your answer to three decimal places.
(Multiple Choice)
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Use left endpoints and 12 rectangles to find the approximation of the area of the region between the graph of the function
and the x-axis over the interval
. Round your answer to four decimal places.
(Multiple Choice)
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Find the time required for an object to cool from
F to
F by evaluating
where t is time in minutes. Round your answer to four decimal places.
(Multiple Choice)
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Use the differential equation
and the initial condition
to find y.
(Multiple Choice)
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Find an equation for the function
whose derivative is
and whose graph passes through the point
.
(Multiple Choice)
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The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral
using geometric formulas.
(Multiple Choice)
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The rate of disbursement
of a 2 million dollar federal grant is proportional to the square of
. Time t is measured in days
and Q is the amount that remains to be disbursed. Find the amount that remains to be disbursed after 40 days. Assume that all the money will be disbursed in 100 days.
(Multiple Choice)
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Evaluate the limit
first by using techniques from Chapter 3 then by using L'Hopital's Rule.
(Multiple Choice)
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Write the following limit as a definite integral on the interval [2, 8] where
is any point in the
subinterval.
(Multiple Choice)
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Find the indefinite integral of the following function.
(Multiple Choice)
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Find the indefinite integral of the following function.
(Multiple Choice)
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