Exam 6: Extension B: Applications of Integration

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Evaluate the integral using the indicated trigonometric substitution. Evaluate the integral using the indicated trigonometric substitution.

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A

Find the integral using an appropriate trigonometric substitution. Find the integral using an appropriate trigonometric substitution.

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B

Evaluate the integral. Evaluate the integral.

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B

A particle moves on a straight line with velocity function A particle moves on a straight line with velocity function    .Find its position function  .Find its position function A particle moves on a straight line with velocity function    .Find its position function

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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 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.   over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer. 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.

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Find the integral. Find the integral.

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Find the integral. Find the integral.

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Find the integral. Find the integral.

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Find the integral. Find the integral.

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Evaluate the integral using the indicated trigonometric substitution. Evaluate the integral using the indicated trigonometric substitution.

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Find the integral. Find the integral.

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Find the integral using an appropriate trigonometric substitution. Find the integral using an appropriate trigonometric substitution.

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Find the area of the region bounded by the hyperbola Find the area of the region bounded by the hyperbola   and the line   and the line Find the area of the region bounded by the hyperbola   and the line

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Evaluate the integral. Evaluate the integral.

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