MATH V1207 Midterm: MATH V1205 Columbia Spring01Mid1
31 Jan 2019
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Midterm examination #1: february 14, 2001, 9:10 10:35 am. The following midterm has 7 problems which are each worth 10 points. Please read the exam carefully and check all your answers. Show all your work and justify your steps: a ladybug is hovering at the point (x, y, z) = (0, 1, 2). Suppose f (x, y) = 16 + x2 + 4y2. Find the region d for which z zd is a minimum. Hint: draw a graph. f (x, y)da: suppose f (x, y) = 5 x. Let d = {(x, y)|0 y 3, 0 x 5}. Which of the following expressions is equal to z zd f (x, y)da? i) ii) iii) iv) v) lim m lim n m n. 1 m lim m lim n m n. 3 m lim m lim n m n. Let y be the number of miles that a student can run in an hour.
