MATH 2414 Lecture 9: MATH 2414 Lecture 9
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Jab t5t dt find the exact length of the curve. X wst d a y sint cost sin f stfdt. I find the exact length of the curve. Ito factor this lookfor favorableproblems e for a et eb and fig are differentiable on. If a curve c is described by the parametricequations x fct t a b then y get the surface area of the surfaceobtainedbyrotating c about the x axis is batty. X et t dff et find the area of the surface obtained by rotating the curve about x axis or. Any point cxly can be represented by two quantities the directed distance between the point and the origin and r. 0 the angle between the positive x axis andthe linethroughthe point and the origin. C r o it are in polar coordinates r g cr 0 1211.