MATH 215 Midterm: exam2f16sol
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T f (x, y) = xy + 9 x + 3 y . Ts r t t t t f (x, y) . T f = (y 9/x2, x 3/y2) t r t t s y = 9/x2 x = 3/y2 t t (x, y) = (3, 1) 2 r t tr s. S tr s t r t 3 s s t tr 6 + 2/3 s s s t . S r t t f (x, y, z) = x2 + y2 + z2 s t t t str t g(x, y, z) = x + 2y + R t t t x + 2y + 3z = 14 str t s s t . 0 1 y=0 (x4 + y4) dy dx = 1. T r t r t s 0 x 1, x y 1 s t t r t x y. 0 y x=0 ey2 dx dy = y.
