MATH 21A Study Guide - Final Guide: Divergence Theorem, Farad, Parallelogram

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9 Jan 2019
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Answers which are illegible for the grader cannot be given credit: show your work. Except for problems 1-3, we need to see details of your computation: no notes, books, calculators, computers, or other electronic aids can be allowed, you have 180 minutes time to complete your work. The distance from (1, 2, 1) to (3, 2, 1) is ( 2, 4, 2). The plane y = 3 is perpendicular to the xz plane. All functions u(x, y) that obey ux = u at all points obey uy = 0 at all points. ~f dr 2 . y f (x, y) dx(cid:17) dy. x f (x, y) dy(cid:17) dx = The best linear approximation at (1, 1, 1) to the function f (x, y, z) = x3 + y3 + z3 is the function l(x, y, z) = 3x2 + 3y2 + 3z2. If f (x, y) is any function of two variables, then r 1.

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