MAT-2130 Midterm: MATH 2130 App State summer2016 Test3 answer key
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If f (x, y) = c, then dy dx. If f (x, y, z) = c, then. Fz: (10 points) three level curve plots are shown below. Write the correct formula below each plot. (b) sketch a gradient vector at the points a, b, and c. if the vector is 0, draw an x on the point. I"m just looking for the correct direction. : (9 points) use a double riemann sum to approximate rrr px + y3 da where r = [ 1, 5] [ 2, 6]. Use midpoint rule and a 3 2 grid of rectangles (3 across and 2 up) to partition r. (don"t worry about simplifying. ) X(cid:19)2: (9 points) let z = f (x, y), x = u + v, and y = u v. show that (cid:18) z. V: (10 points) limits. (a) show that lim (x,y) (0,0)
