MATH 21A Midterm: MATH 21A Harvard 21a Fall 17Solution
Document Summary
Tth 11:30 sebastian vasey: print your name in the above box and check your section, do not detach pages or unstaple the packet, please write neatly. Answers which are illeg- ible for the grader cannot be given credit: all functions are assumed to be smooth and nice unless stated otherwise, show your work. Except for problems 1-3, we need to see details of your computation. If you are using a theorem for example, state the theorem: no notes, books, calculators, computers, or other electronic aids are allowed, you have 180 minutes time to complete your work. The surface x2 + y2 z2 = 1 is a one-sheeted hyperboloid. The vector projection ~proj ~w(~v) of a vector ~v onto a non-zero vector ~w is always non-zero. The linearization of f (x, y) = 5 + 7x + 3y at any point (a, b) is the function. L(x, y) = 5 + 7x + 3y.
