28. A function y has the set of positive 32. Write the equation of the line with x integers N as domain and for each n intercept a = 4/5 and y - Intercept b contained in N, y(n) =12 + cos (n x pl) + -1/2 sin [(2n-1) pi/2]. What are the values of 5x + By =4 y corresponding to any odd positive b. 5x - By = 4 Integer? C. 3x + By = 4 a. 12 d. X + 2y =7 Ans: A C. 50 33. Find all the values of m for which ; y = e( d. 3 to power mx ) is a solution of 6y" -y' - Ans: A y =0 on ( -infinity , + infinity) 29. Find the volume obtained if the region a. m =-1/2, 2/3 bounded by y = x^2 and y -2x = 0 is b. m = -1,2,3 rotated about the x-axis C. m= -3,-1/3 64pie/15 d. m= -1/3, X b. 24pie/5 Ans: D c. 34pie/15 34. if the columns ( or rows ) of d. Pie/15 determinant are identical, the value of Ans: A the determinant is 30. Which of the following are the solutions a. negative to the following b. positive (" - 3y" + 3y' -y = 0 zero I. e^x d. undefined 11. X(e^x) Ans: C Ill. ex-x 35. what is I (raised to power 96) a. I only a. m =-1/2, 2/3 b. Ill only b. m= -1,2,3 I and Il only C. m =-3,1/3 d. Il only d. m =-1/3, X Ans: C Ans: D 31. Find all integers n such that (2n-6) is greater than 1 but less than 14 a. 4,5,6,7,8,9 b. 3,4,5,6,7,8 c. 1,2,3,4,5,6,7 d. 1,3,4,5,6,7,8,9 Ans: A36. The probability that a married man 40. A Man invested Php 50,00. Part of it he watches a certain television show is 0.4 put in an oil stock from which he hoped and the probability that a married to receive a 20% return per year. The woman watches the shoe is 0.5. The rest he invested in a bank stock which probability that a man watches the was paying 6% per year. If he received show given that his wife does is 0.70 . Php 400 more the first year from the Find the probability that at least 1 bank stock than from the oil stock, how person of married couple will watch the much did the invest in the oil stock? shoe a. 10,000 a. 0.35 b. 5,000 b. 0.65 2,000 C. 0.75 d. 30,000 d. 0.55 Ans: A Ans: D 41. In the non-generate conic 3x^2 + 6xy + 37. A coin is biased so that a head is twice 5y^2 - x +y =0 as likely to occur as a tail. If the coin is a. Parabola tossed 3 times, what is the probability b. Ellipse of getting 2 tails and 1 head? c. Hyperbola 2/9 d. Circle b. 3/7 Ans: B c. 2/5 42. A baseball diamond is a square d. 1/5 ..batter hits the ball and Ans: A runs to first base at the rate 38. The probaoloty that a doctor correctly wasasks....how fast is his distance diagnosis a particular illness is 0.70. from the second base changing when Given that the doctor makes and he runs 50 fr? incorrect and incorrect diagnosis, the a. 80/ Sqrt(97) probability that the doctor makes an b. 40/sqrt/(97) incorrect diagnosis and the patient C. 20/3 sues? d. 15/7 a. 0.27 Ans: A b. 0.17 43. The dimensions of a rectangle are C. 0.32 continuously changing. The width d. 0.70 increases at the rate of 3 in/2 while the Ans: A length decreases at the rate of 2 in/s. At 39. In the curve y = 3 cos (1/2) x, what is one instant the rectangle is a 20-in the amplitude and period ? square. How fast is tis area changing 3 a. 3, 3pie/2 seconds later? b. 3,4pie a. -16 C. 3, 2pie -32 d. 3, pie/2 C. 16 Ans: B d. 32