MAC-2313 Midterm: MAC2313 test-3
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An answer with no work receives no credit. You may use the back of a page if you need more space for a problem. Calculus iii (mac2313-13: circle true or false. Page 2 of 6 (a) (2 points) true. If the derivative of the function f at the point p is zero in the direction v, then the value of f does not change when we move away from p in the direction v. The x component of the center of mass (i. e. , x) of a region r is the weighted average of the x components of the points of r, where the weight is the density at each point. False (c) (2 points) true given that all these integrals exist. False we have rru1 u2 f (x, y) da = rru1 f (x, y) da +rru2 f (x, y) da, (d) (2 points) true. Ru m dx, given that all these integrals exist.
