MAC-2313 Midterm: MAC2313 test-4
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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. A scalar eld is a function which takes a scalar to a vector. (b) (2 points) true. The gradient operator ~ takes a scalar eld and returns a vector. The gradient of a potential eld is a conservative eld. (d) (2 points) true. Every point in r3 may be represented using spherical coordi- nates, but the representation may not be unique. (e) (2 points) true equation z = r2. A half cone is represented in cylindrical coordinates by the: (10 points) find the 2-dimensional volume of the parallelogram spanned by the vectors v1 = and v2 = Page 3 of 6: consider the curve c of the equation (1 x)3 = z2. (a) (5 points) find a parametrization for c.
