MATH 215 Midterm: exam1f14
Document Summary
10/09/2014, 6:10-7:40pm (90 minutes: consider a cube with sides of length 2: see the picture. Let a and b be the vertices indicated in the picture. Let q be the point which is in the middle of an edge of the box (equal distance from the two end points of the edge) as indicated in the picture. The intersection of these two surfaces forms a curve. Find the length of this curve: (10 points) two objects travel through space along two di erent curves. Circle the correct function. (a) sin(x) sin(y) (b) sin(x) + sin(y) (e) We also know that f (1, 1) = 1. Find the partial derivatives fx(1, 1) and fy(1, 1) evaluated at (x, y) = (1, 1): (5 points) (no partial credit) let u(x, t) = sin(x t). The radius of the right circular cone is increasing at a rate of 2 cm/s while its height is decreasing at a rate of 3 cm/s.
