If Un = kn\(^2\) + pn, U\(_1\) = -1, U\(_5\) = 15, find the values of k and p.
- A. k = -1, p = 2
- B. k = -1, p = -2
- C. k = 1, p = -2
- D. k = 1, p = 2
A particle moving with a velocity of 5m/s accelerates at 2m/s\(^2\). Find the distance it covers in 4 seconds.
- A. 16m
- B. 26m
- C. 36m
- D. 46m
Given that P = {x: x is a multiple of 5}, Q = {x: x is a multiple of 3} and R = {x: x is an odd number} are subsets of ΞΌ = {x: 20 β€ x β€ 35}, (PβQ)β©R.
- A. {20, 21, 25, 30, 33}
- B. {21, 25, 27, 33, 35}
- C. {20, 21, 25, 27, 33, 35}
- D. {21, 25, 27, 30, 33, 35}
Find the coefficient of x\(^2\)in the binomial expansion of \((x + \frac{2}{x^2})^5\)
- A. 10
- B. 40
- C. 32
- D. 80
A linear transformation T is defined by T: (x,y) β (3x – y, x + 4y). Find the image of (2, -1) under T.
- A. (7, -2)
- B. (5, -2)
- C. (-2, 7)
- D. (-7, 2)
Given \(\begin{vmatrix} 2 & -3 \\ 1 & 4 \end{vmatrix} \begin{vmatrix} -6 \\ k \end{vmatrix} \begin{vmatrix} 3 \\ -26 \end{vmatrix} = 15\). Solve for k.
- A. -8
- B. -5
- C. -4
- D. -3
Evaluate\({1_0^β«} x^2(x^3+2)^3\)
- A. \(\frac{56}{12}\)
- B. \(\frac{65}{12}\)
- C. 12
- D. 65
If \(x^2+y^2+-2x-6y+5 =0\), evaluate dy/dx when x=3 and y=2.
- A. 2
- B. -2
- C. -4
- D. 4
Given that \(\frac{8x+m}{x^2-3x-4} β‘ \frac{5}{x+1} + \frac{3}{x-4}\)
- A. 23
- B. 17
- C. -17
- D. 17
Differentiate \(\frac{5x^ 3+x^2}{x}\), x β 0 with respect to x.
- A. 10x + 1
- B. 10x + 2
- C. x(15x + 1)
- D. x(15x + 2)
If 36, p,\(\frac{9}{4}\) and q are consecutive terms of an exponential sequence (G.P), find the sum of p and q.
- A. 9/16
- B. 81/16
- C. 9
- D. 9 \(\frac{9}{16}\)
Evaluate \(β«^0_{-1}\) (x + 1)(x – 2) dx
- A. 7/6
- B. 5/6
- C. -5/6
- D. -7/6
Which of the following is the semi-interquartile range of a distribution?
- A. Mode - Median
- B. Highest score - Lowest score
- C. 1/2 (Upper Quartile - Median)
- D. 1/2 (Upper Quartile - Lower Quartile)
A straight line makes intercepts of -3 and 2 on the x and y axes respectively. Find the equation of the line.
- A. 2x + 3y + 6 = 0
- B. 3x - 2y - 6 = 0
- C. -3x 2y - 6 = 0
- D. -2x + 3y - 6 = 0
Express \(\frac{4Ο}{2}\) radians in degrees.
- A. 288ΒΊ
- B. 200ΒΊ
- C. 144ΒΊ
- D. 120ΒΊ
The functions f:x β 2x\(^2\) + 3x -7 and g:x β5x\(^2\) + 7x – 6 are defined on the set of real numbers, R. Find the values of x for which 3f(x) = g(x).
- A. x = -3 or -5
- B. x = -3 or 5
- C. x = 3 or -5
- D. x = 3 or 5
Consider the following statement:
x: All wrestlers are strong
y: Some wresters are not weightlifters.
Which of the following is a valid conclusion?
- A. All strong wrestlers are weightlifters
- B. Some strong wrestlers are not weightlifters
- C. Some weak wrestlers are weightlifters
- D. All weightlifters are wrestlers
Simplify \(\frac{9*3^{n+1} – 3^{n+2}}{3^{n+1} – 3^{n}}\)
- A. 3
- B. 9
- C. 27
- D. 81
If \(log_{10}(3x-1) + log_{10}4 = log_{10}(9x+2)\), find the value of x
- A. \(\frac{1}{3}\)
- B. 1
- C. 2
- D. 3
(\(\frac{3\sqrt6 + \sqrt{54}}{\sqrt5(3\sqrt5)})^{-1}\)
- A. \(\frac{5β3}{6}\)
- B. \(\frac{3β15}{6}\)
- C. \(\frac{5β6}{12}\)
- D. \(\frac{5β3}{12}\)