MATH 221 Midterm: MATH 221 KSU s04Test 4

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

Document Summary

The point value of each problem is given in the left-hand margin: calculate the following derivatives. Do not simplify. (8) a) d dx x ln(2x x2) (8) b) d dx xx (logarithmic di erentiation can be used if you like. ) (8) 2. Solve the initial value problem, dp dt = p2t , p(0) = 1 . page 3 of 8: evaluate the following limits or indicate that they diverge. Show all work. (6) a) lim x x sin (2/x) (6) b) lim x x1/x (8) 6. Evaluate the sum + e + e2. 2 + e4 page 4 of 8: determine whether the following series converge conditionally, absolutely or diverge. State clearly which test you are using and implement the test as clearly as you can. The answer for each problem is worth 2 points and the work you show 6 points. (8) a)