MATH 32A Study Guide - Midterm Guide: Parametric Equation
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There are 7 questions for a total of 100 points. You may write on the back if you need more space, but please indicate on the front. 2: find an equation y = f (x) for the parametric curve and compute dy dx, c(t) = (2t + 1, 1 9t, c(s) = (s3, s6 + s 3, the function r(t) traces a circle. Determine the radius, center, and plane containing the circle: r(t) = 7i + (12 cos t)j + (12 sin t)k, r(t) = (cid:104)6 + 3 sin t, 9, 4 + 3 cos t(cid:105) 3: find an equation in polar coordinates that describes the line y = 3x + 1. In your answer, please indicate the range of the parameter . 4: compute the following, where r1(t) = (cid:104)t2, et, 1 4t(cid:105), r2(t) = (cid:104)1, t2 1, et(cid:105), g(t) = t2, d, d, d dt (r1(t) r2(t)) dt (r1(t) r2(t)) dt r1(g(t))
