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Questions by Sun from Los Angeles, CA

Find the volume?

Find the volume of the solid generated by rotating about the x-axis the region enclosed by the curve y=sec x and the lines x=0, y=0, and x=pi/3.    Answer: pi*sqrt(3)   Please...

Set up an integral?

A region R in the xy-plane is bounded below by the x-axis and above by the polar curve defined by r=4/(1+sin θ) for 0≤θ≤pi.   Set up an integral in rectangular coordinates that...

The point on the curve?

The point on the curve x^2+2y=0 that is nearest the point (0, -1/2) occurs where y is    a) 1/2 b) 0 c) -1/2 d) -1 e) none of the above   Answer:...

Find the area?

The area of the closed region bounded by the polar graph of r=sqrt(3+cos theta) is given by the integral    a) ∫ sqrt(3+cos theta) d*theta from 0 to 2pi   b) ∫...

Find the asymptotes?

Find the asymptotes of the graph of the parametric equations x=1/t, y=t/(t+1).    a) x=0, y=0 b) x=0 only c) x=-1, y=0 d) x=-1 only e) x=0, y=1   Please...