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Mathematics
Study Set
Calculus Concepts and Contexts
Quiz 6: Extension B: Applications of Integration
Path 4
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Question 1
Multiple Choice
Find the integral.
Question 2
Multiple Choice
Find the integral.
Question 3
Multiple Choice
Find the integral.
Question 4
Essay
Evaluate the integral using the indicated trigonometric substitution.
Question 5
Multiple Choice
Find the integral using an appropriate trigonometric substitution.
Question 6
Multiple Choice
Find the integral using an appropriate trigonometric substitution.
Question 7
Essay
Find the area of the region bounded by the hyperbola
and the line
Question 8
Essay
Find the integral.
Question 9
Short Answer
Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz).The voltage is thus given by the function E(t),where t is the time in seconds.Voltmeters read the RMS (root-mean-square)voltage,which is the square root of the average value of
over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer.
Question 10
Multiple Choice
Evaluate the integral.