MATH 220 Final: MATH 220 KSU FinalwSoluTest ions u08

• School: Kansas State University
• Department: Mathematics
• Course: MATH 220
• Professor: All

Document Summary

Math 220 - analytic geometry and calculus 1. Show all work and box your nal answers. You may use calculators but no books or notes. Good luck : (5 pts. each) compute the following limits: (a) lim x . X + 8 3 x 1 (d) lim x 0. 2. (5 pts. each) compute derivatives of the following functions: (a) f (x) = 5 e 5x + 4 tan(x) + ln(x5) + 6 sec(x) (b) f (x) = x tan(x) (c) f (x) = x. 2 + sec(x) (d) f (x) = z x. 3. (5 pts. each) compute the following integrals: (a) Z (sec(x) tan(x) 3ex + 10 sec2 x)dx (b) 20 sin(x) cos4 xdx (4 pts. each) let f be a di erentiable function and g(x) = (xf (x)) , 4. f (2) = 2, f (2) = 1 and f (2) = 3.