MATH 21A Midterm: MATH 21A Harvard 21a Spring 09Midterm1 Solutions Spr08
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You do not need to justify your answers in this part of the exam. 2 match each contour plot with one of the following functions. (a) f (x, y) = x2 y2 (b) f (x, y) = xy2 (c) f (x, y) = y2 x2 (d) f (x, y) = x2y2. 0. 5 (e) f (x, y) = x y2 (f) f (x, y) = xy (g) f (x, y) = x2y (h) f (x, y) = y x2. 4 (i) is (g) f (x, y) = x2y (ii) is (f) f (x, y) = xy. 2 (iii) is (b) f (x, y) = xy2. I f llll f lilu tllti llausd ut lue 6ryvu. : k, z : k. then identify the surface and sketch it" 4 x z t 9 y " * 3 6 z 2 : 3 6. 4 y : x z + 2 2. 1 4 . z : x " - y "
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