29.Find the volume obtained if the region bounded by y =x^2 and y -2x = 0 is rotated about the x-axisa.64 π /15b.24 π /5c.34 π /15d.π /1530. Which of the following are thesolutions to thefollowing: y”’ – 3y” + 3y’ –y= 0I. e^xII. X(e^x)III. e^-xwhat is I (raised to power 96)a.m = -1/2, 2/3b.m= -1,2,3c.m = -3,1/3d.m = -1/3, ½31. Find all integers n such that (2n-6) is greater than 1but less than 14a.4,5,6,7,8,9b.3,4,5,6,7,8c.1,2,3,4,5,6,7d.1,3,4,5,6,7,8,9Ans: A32.Write the equation of the line with x intercept a = 4/5and y – intercept b =1/233.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: D34. ifthe columns ( or rows ) of determinant are identical,the value of the determinant is35.what is I (raised to power 96)a.m = -1/2, 2/3b.m= -1,2,3c.m = -3,1/3d.m = -1/3, ½36.The probability that a married man watches a certaintelevision show is 0.4 and the probability that amarried woman watches the shoe is 0.5. Theprobability that a man watches the show given that hiswife does is 0.70 . Find the probability that at least 1person of married couple will watch the shoeAns: D37. A coin is biased so that a head is twice as likely tooccur as a tail. If the coin is tossed 3 times, what is theprobability of getting 2 tails and 1 head?38. The probability that a doctor correctly diagnosis aparticular illness is 0.70. Given that the doctor makesand incorrect and incorrect diagnosis, the probabilitythat the doctor makes an incorrect diagnosis and thepatient sues?