MATH 21A Midterm: MATH 21A Harvard 21a Fall 16Practice9
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Tth 11:30 jameel al-aidroos: start by printing your name in the above box and check your section in the box to the left, do not detach pages from this exam packet or unstaple the packet, please write neatly. Answers which are illeg- ible for the grader cannot be given credit: show your work. Problem 1) true/false questions (20 points), no justi cations needed. 0 (x2 + y2) dydx = r 2. There is a function f (x, y) for which the linearization at (0, 0) is l(x, y) = x2 + y2. For any two functions f, g and unit vector ~u we have. If we solve sin(y) xy2 = 0 for y, then y = y2/(cos(y) 2xy). If f (x, 0) = 0 for all x and f (0, y) = 0 for all y, then. 0 f (s, t) dtds solves gxy(x, y) = f (x, y). g(x, y) = r x.
