Mathematics Question Paper
Q1. Find all solutions of the following equation on the interval [0, 2π )
cos(x) + 1 = sin(x)
Q2. Using analytical means find all the zeros of the polynomial function P(x) = 2x3 + x2 - 13x + 6
By the Rational Zeros Theorem the rational zeros of P are of the form
possible rational zero of P =factor of constant term =factor of 6/factor of 2
...view middle of the document...
A survey of 80 college students was taken to determine the musical styles they listened to. 42 students listen to rock, 34 to classical and 27 to jazz. 12 students listened to rock and jazz, 14 to rock and classical, and 10 to classical and jazz. 7 students listened to all three types of music.
Of those surveyed how many listened to at least two of the musical styles?
Q4. How many license plates are possible in a state if a license plate has three letters of the alphabet followed by 4 numbers of which the first number cannot be a zero?
Q5. Determine the convergence of the following integral.
∫ x/ (x ^2 -9) dx
Q6. Determine whether the following sequence is arithmetic or geometric, and then find the sum of the first ten terms of that sequence.
4, - 12, 36, - 108, ...
Q7. Find the inverse of the following function.
7 - 8x
f(x) = ---------------
2x + 5
Q8 . Find the equation of a line that passes through the point (-7,8) and is perpendicular to the line with the equation - 3x + 7y + 9 = - 18