MATH 21A Midterm: MATH 21A Harvard 21a Fall 16Practice14
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Tth 11:30 george melvin: 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. Except for problems 1-3, we need to see details of your computation: no notes, books, calculators, computers, or other electronic aids can be allowed, you have 180 minutes time to complete your work. Mark for each of the 20 questions the correct letter. The length of the curve ~r(t) = hsin(t), t4 + t, cos(t)i on t [0, 1] is the same as the length of the curve ~r(t) = hsin(t2), t8 + t2, cos(t2)i on [0, 1]. The parametric surface ~r(u, v) = (5u 3v, u v 1, 5u v 7) is a plane.
