MATH 230 Midterm: Test 2 fall 2014
15 Feb 2019
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Instructions: this exam has 8 problems and 10 pages. Find and sketch the domain of the following function: f (x, y) = p1 x2 y2. A rocket is launched from the ground directly upwards at a speed of 6m/s. The rocket is tted with a motor that provides an upwards acceleration of 6t m/s2 and a horizontal acceleration of 6t + sin ( t) m/s2, where t is time in seconds since the launch. Assume that the acceleration due to gravity is 10m/s2. An object moves along a curve described by r(t). Problem 4 (18 points) find the following limits or show that they do not exist. (a) (b) lim (x,y) (0,0) x2y2 (x2 + y2)2 lim (x,y) (0,0) x4 cos2(y) x4 + y4 (c) lim (x,y) (0,0) x4 sin2(y) x4 + y4. The volume of a pyramid with a square base is v = 1. 3 base is an square.
