Quiz - Calculus II (R52-S12C) - Regents Online Degree Program
2/3/12 12:15 PM
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Question 1 (1 point)
Find the average value of f ( x ) = ( 25 - x 2 ) 3 / 2 on the interval [ 0 , 5 ].
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Question 2 (1 point)
Make a substitution to express the integrand as a rational function and then evaluate the integral.
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Question 3 (1 point)
A water storage tank has the shape of a cylinder with diameter 10 ft. It is mounted so that the circular cross-sections are
vertical. If the depth of the water is 8 ft, what percentage of the total capacity is being used?
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Quiz - Calculus II (R52-S12C) - Regents Online Degree Program
2/3/12 12:15 PM
71.5 %
90.9 %
75.3 %
85.8 %
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Question 4 (1 point)
Evaluate the integral by completing the square and using formula:
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Question 5 (1 point)
Evaluate the integral.
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Quiz - Calculus II (R52-S12C) - Regents Online Degree Program
2/3/12 12:15 PM
sin x + cos x + C
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Question 6 (1 point)
Write the form of the partial fraction decomposition of the expression. Do not determine the numerical values of the
coefficients.
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Question 7 (1 point)
Use integration by parts to find the integral:
.
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Quiz - Calculus II (R52-S12C) - Regents Online Degree Program
2/3/12 12:15 PM
none of those
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Question 8 (1 point)
Evaluate the integral
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Question 9 (1 point)
Evaluate the integral.
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Quiz - Calculus II (R52-S12C) - Regents Online Degree Program
2/3/12 12:15 PM
none of these
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Question 10 (1 point)
Find the volume obtained by rotating the region bounded by the given curves about y = -1.
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