MAT-2130 Midterm: MATH 2130 App State summer2014 Test2
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If f (x, y) = c, then dy dx. If f (x, y, z) = c, then. Fz: (11 points) three level curve plots are shown below. I have labeled the levels so you know which curves are higher and which are lower. 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. ] (c) if a, b, or c is a critical point, write what kind of point it is (i. e. min, max, saddle, or other). Rst graph. f (x, y) = 4x2 3y has level curves which are parabolas opening upwards (c = 4x2 3y). This di ers from f (x, y) = 4y2 3x which has level curves that are parabolas opening to the right (c = 4y2 3x).
