MATH 221 Midterm: MATH 221 KSU Test 3f98
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The point value of each problem is given in the margin. problem. Express the following polar equations in terms of rectangular coordinates. page 2: = /2, r = cos (12) 2. Find the area inside both of the circles r = cos and r = sin . (12) 3. Find an equation of the parabola with focus (-2,0) and directrix x = 2 . page 3 (12) 4. Find an equation of the hyperbola with center (-1,3), vertices (1,1) and (1,-5), and asymptotes 3x 2y = 7 and 3x + 2y = 7 . (20) 5. Determine whether the given sequence {an} converges, and nd its limit page 4 if it does. (a) an = 2 for all n . (b) an = ( 1)n (c) an = Determine whether the given in nite series converges or diverges. If it converges, nd its sum. (pay attention to where the series starts). page 5 (a)