Find the volume obtained if the region bounded by y

29. Find the volume obtained if the region bounded by y =
x^2 and y -2x = 0 is rotated about the x-axis
a. 64 π /15
b. 24 π /5
c. 34 π /15
d. π /15
30. Which of the following are the solutions to the
following: y”’ – 3y” + 3y’ –y = 0
I. e^x
II. X(e^x)
III. e^-x
what is I (raised to power 96)
a. m = -1/2, 2/3
b. m= -1,2,3
c. m = -3,1/3
d. m = -1/3, ½
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: A
32. Write the equation of the line with x intercept a = 4/5
and y – intercept b =1/2
33. Find all the values of m for which ; y = e( to power mx
) is a solution of 6y” – y’ – y =0 on ( -infinity , + infinity)
Ans: D
34. if the columns ( or rows ) of determinant are identical,
the value of the determinant is
35. what is I (raised to power 96)
a. m = -1/2, 2/3
b. m= -1,2,3
c. m = -3,1/3
d. m = -1/3, ½
36. The probability that a married man watches a certain
television show is 0.4 and the probability that a
married woman watches the shoe is 0.5. The
probability that a man watches the show given that his
wife does is 0.70 . Find the probability that at least 1
person of married couple will watch the shoe
Ans: D
37. A coin is biased so that a head is twice as likely to
occur as a tail. If the coin is tossed 3 times, what is the
probability of getting 2 tails and 1 head?
38. The probability that a doctor correctly diagnosis a
particular illness is 0.70. Given that the doctor makes
and incorrect and incorrect diagnosis, the probability
that the doctor makes an incorrect diagnosis and the
patient sues?

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39. In the curve y = 3 cos (1/2) x, what is the amplitude
and period ?
40. A Man invested Php 50,000. Part of it he put in an oil
stock from which he hoped to receive a 20% return
per year. The rest he invested in a bank stock which
was paying 6% per year. If he received Php 400 more
the first year from the bank stock than from the oil
stock, how much did the invest in the oil stock?
a. 10,000
b. 5,000
c. 2,000
d. 30,000
Ans: A
41. In the non-generate conic 3x^2 + 6xy + 5y^2 – x +y = 0
Ans: B
42. A baseball diamond is a square …………………..batter
hits the ball and runs to first base at the rate
………………….how fast is his distance from the second
base changing when he runs 50 fr?
a. 80/ √90
b. 40/
√
97
c. 20/3
d. 15/7
Ans: A
43. The dimensions of a rectangle are continuously
changing. The width increases at the rate of 3 in/2
while the length decreases at the rate of 2 in/s. At one
instant the rectangle is a 20-in square. How fast is tis
area changing 3 seconds later?