Problem on derivatives and integrals


Assignment:

Q1.) The current in a circuit is i = 2.00 cos 100t. Find the voltage across a 100-microfarad(uF) capacitor after 0.200 s, if the initial voltage is Zero (one microfarad(uF)=10 to the power of -6 F).

Q2.) Find the volume of the solid of revolution obtained by rotating the region bounded by y = cos x to the power 2, x=0, x = square root of (pi/2) and y = 0 about the y - axis.

Q3.) The voltage in a certain circuit is given by e(t) = E sin wt . Find the mean voltage over half a period.

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Mathematics: Problem on derivatives and integrals
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