MATH 1275: Calculus II - With Applications to Life Sciences Assign #3 PRINT NAME: SIGNATURE: STUDENT NUMBER: Note: You must show all your works to get full marks. 1. (2 marks) Given a. function f (:r) = :1-2 31'. is there any real constant. c E [0.2] such that f ((3) equals to ? times the average value of tho function on [0. 2]? 5 :'i 2. (2 marks) Suppose that f(.-r) is continuous and [ f(.r) d.r = 4. Compute / f(2:1.' 1) 2 (1.1:. . 1 1 .172 .r3+1 1 3. (2 marks) Evaluate II = f (11'. o 4. (4 marks) Find I2 = f e'\" 005(21?) (tr