MATH 205 Midterm: MATH 205 KSU Test 2u14

• School: Kansas State University
• Department: Mathematics
• Course: MATH 205
• Professor: All

Document Summary

Please read the problems carefully and do all you are asked to do. You can use the back page as a scratch paper. Total/100 #1 #2 #3 #4 #5 #6 #7 #8. Use the following graph of a given function f (t): (a)(6 points). Estimate the intervals on which f (t) > 0 and the intervals on which f (t) < 0. (b) (6 points). Estimate the intervals on which f (t) > 0 and the intervals on which f (t) < 0. Assume that h(t) = 2t. (a) (7 points). Use average rate of change over the interval 2. 99 t 3. 01 to estimate h (3). (b) (5 points). Di erentiate (a) (4 points). f (x) = 5 + 5 x + 5 x (b) (4 points). g(u) = ln u eu + 5(3u) (c)(6 points). y = x2 x + 1 (simplify your answer). Find the derivative of f (x) = (1 + 3x)2006. (b) (4 points).