MAC 2312 Midterm: MAC2312 S02 Test 3
Document Summary
Instructions: write your complete solutions in your exam book. To receive credit, you must show all work. (1) (20 pts. ) X ln x (a) lim x 0 (b) lim x 0+ (2) (20 pts. ) , where a and b are constants. (a) sn = (cid:16)1 + a n(cid:17)bn ( 1)n2n n! (b) an = (3) (20 pts. ) 0 (a) z /4 (b) z cos x. 1 x + 2(cid:19) dx (4) (10 pts. ) Sketch the curve r = sin 2 and nd the area of the region that it encloses. (5) (30 pts. ) For the parametric curve c de ned by x = 1 + t2, y = t ln t,
