MAT 21A Study Guide - Midterm Guide: Parametric Surface, Surface Integral, Del
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MAT 21A Full Course Notes
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0 z x sin y y dy dx. (b) (3 points) a thin plate covers the region r bounded by y = x and y2 = x in the rst quadrant. Assume the plate has constant density and mass m = 1. Find . (c) (3 points) change to polar coordinates but do not evaluate. Rectangular, cylindrical and spherical coordinates. (a) set-up, but do not evaluate, volume integrals for the following solids. (i) (2 points) cylindrical coordinates. D is the right circular cylinder whose base is the circle r = 3 cos in the xy-plane and whose top lies in the plane z = 5 x. The curvature of a smooth curve c is de ned as the magnitude of the derivative of the curve"s unit tangent vector t with respect to arc length s. 4 (a) (2 points) for a smooth parametrized curve state the formula for calculating .
