16. Which is the limit of the natural logarithm as x approaches 0 coming from the right? A.1 B. + oo C. -1 D. - oo 17-18. Find the first derivative of y = ex. A. 303x B. e3x C. 3e2x D. 1 19-20. Which is the derivative of y= (Inx) ? A. 3 Inx 2 B. 3/X C. In x3 D. In Ju X 3 21-22. What is/are X-value(s) in e(*2-3*+2)= 1? A. 0 B. 1 C. (2,1) D. none of these 23-24. Which is the a of the equation y = e 2x*3? A. 2 B. x+ 3 C. 2x + 3 D. 2e 2x+3 25. Which theorem shall be used to find the sim sin 64 ? A. Theorem 1: Stink = 1 X B. Theorem 2: cos0 = 1 C. Theorem 3 : 1-cose D. Theorem 4: sisine = 1 26. What shall be divided in both numerator and denominator to evaluate sing A. 00 B. B C.0 D. I 27. Which is the first step to evaluate I-cos cos 56 ? B A. multiply the expression by B. Use the corresponding theorem C. Simplify the expression D. Divide the expression 28. Which expression will sing equal to ? A. - B. 1 C. 0 D. none of these 29-30. Which is the du in y= sin (x3-2x + 1)? A. x2-2x + 1 B. 2x- 2 C. 1 D. sin-1 31-32. Which expression of y= sin In(5x +2) equal to du? A. 5/5x + 2 B. 5 C. In 5x + 2 D. 1 33-34. Which is the derivative of y= sin (x2-2x + 1)? A. (2x -2) B. (2x-2) Cos(x2-2x + 1) C. (x2-2x + 1) D. O3536. Which is the derivative of y: sin ln(5x +2]? A. 5 cos ln{5x + 2) B. In 5 C. W D.1 ||. Problem Solving. Solve the following problems with complete solution. Diagram is also necessary to illustrate the solution: 3744. [Using Maxima and Minimal Find the dimensions of the rectangular lot that can be enclosed using 2,000m of fencing material and whose area is as large as possible. 4552. [Derivatives of Exponential Function} Suppose that the sales of PC Printer increase rapidly and then gradually level off. Its sales i_s approximated by the growth function SH]: 150,DUO9IElDIOIZIIe"?t Where t is the number of years the product has been on the market. a. Find 5{5}. b. Find the rate of change of sales of the number of units of the product sold in the 5m year. 53-60. [Related Rates] A balloon rising straight up from the level ground is tracked by a man with a video camera 300 meters from the point of lift-off. At the moment the video camera's angle of elevation is 1;, the angle is increasing a: the rate of 0.25 radiansper minute. How fast is the balloon rising at the moment Neglect the height of the camera.)