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MAC-2313 Midterm: MAC2313 test-1-key

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turquoisegnu128
31 Jan 2019
School
FSU
Department
Mathematics
Course
MAC-2313
Professor
All

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Document Summary

An answer with no work receives no credit. You may use the back of a page if you need more space for a problem. Page 2 of 8: describe each of the following regions in set notation (with inequalities). (a) (3 points) the region between the yz-plane and the plane x = 2. Solution: the yz-plane is the same as the plane x = 0. Solution: the inequality x2 + y2 32 gives the surface and inside of an unbounded cylinder with axis through the origin and radius 3. Restricting to 0 z 3 gives us region in question: Solution: with = /3, we have v = |v| cos i + |v| sin j = 4(1/2)i + 4( 3/2)j = 2(i + 3j). Calculus iii (mac2313-13: circle true or false. Page 3 of 8 (a) (3 points) true false |u v| = |u||v| if and only if u is a scalar multiple of v or vice versa.

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