MATH 234 Midterm: M234 Test 1 Spring 2015
15 Feb 2019
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0 ex3 3x dx dy by reversing the order of integration. Problem 2 (15 points) in order to design a plate based on the concept of the ying-yang picture, derek the designer rst draws a circle centered at the origin of radius 2. He then draws two circles centered at (0, 1) and (0, 1), both with radius 1. Next, he use the left half-circle of the small circle on the top and the right half-circle of the small circle on the bottom to separate the large circle. Finally he colors one of the regions gray. He realized that the x axis divide the white region into two smaller regions r1 and r2. Each of them can be parametrized by either polar or euclidean coordinates. (a) (7 points) parametrize r1 using polar coordinates. (a) (8 points) parametrize r2 using euclidean (i. e. , xy-) coordinates.
