Calculus 2 Exam 2c

*I am doing it right now but the prof didn't put the answers so I can't know if I'm wrong or not

Math 141 Exam 2C, Sample - Time: 50 minutes Dr. Ebrahimian Write your answer for problem 1 on answer sheet 1. 1. Consider the function f(x) = (2+ 1)=. la. (10 pts) Evaluate f'(1). Simplify your answer. 1b. (15 pts) Evaluate lim f(x). If the limit is indeterminate, determine the indeterminate form. Write your answer for problem 2 on answer sheet 2. 2. Evaluate each integral. 2a. (13 pts ) f - 20 20 4 + 22 2 + 2 dx. Simplify your answer. 2b. (13 pts) S(x3 log2 a t xe" ) da. Write your answer for problem 3 on answer sheet 3. 3. Consider the function f(x) = 23 - 12x + 15. 3a. (10 pts) Find the largest interval containing 0, for which f has an inverse. 3b. (15 pts) Let f-1(x) be the inverse defined in part (a). Evaluate (f-1)' (4). Write your answer for problem 4 on answer sheet 4. 4. Let f(x) = cos (sin-1 ( 2+1)) 4a. (15 pts) Find the domain and range of f(x). 4b. (10 pts) Simplify f(x) so there are no trigonometric functions