MATH 221 Midterm: MATH 221 KSU S16ExFin

• School: Kansas State University
• Department: Mathematics
• Course: MATH 221
• Professor: All

Document Summary

Page 1 page 2 page 3 page 4 page 5 page 6 page 7 page 8 total. The point value of each problem is given in the left-hand margin. You have 1 hour and 50 minutes. (12) 1. Find the interval of convergence for the power series. Interval of convergence: evaluate the following integrals. (7) a) z x2 ln x dx page 2 of 8 (9) b) z dx (9 + x2) 2 (hint: trig. substitution) (9) c) z x + 3 x(x 3) dx (hint: partial fractions) (8) d) z sin8 x cos3 x dx page 3 of 8 (8) e) z x2ex dx (9) 3. = 3x2(1 + y2) , y(0) = 1 . Solve for y . (18) 4. a) set up, but do not evaluate, an integral represent- ing the length of the curve y = x2, 0 x 2. page 4 of 8.