MATH 21B Midterm: MATH 21B Harvard 21b Fall 10Practice6
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Tth 11:30 jameel al-aidroos: start by printing your name in the above box and check your section in the box to the left, do not detach pages from this exam packet or unstaple the packet, please write neatly. Answers which are illeg- ible for the grader cannot be given credit: show your work. Problem 1) true/false questions (20 points), no justi cations needed. If ~r(t) is a space curve satisfying ~r (0) = 0 and f (x, y, z) is a function of three variables then d. The integral r rr 1 dxdy is the area of the region r in the xy-plane. If f (x, y) is a linear function in x, y, then d~uf (x, y) is independent of ~u. dtf (~r(t)) = 0 at t = 0. If f (x, y) is a linear function in x, y, then d~uf (x, y) is independent of (x, y).