Ladoke Akintola University of Technology Mathematics Post Utme Past Questions and Answers

Question 1 :

The sum of infinity of the series \(1+1 / 3+1 / 9+1 / 27+2\) is

A. \(10 / 3\)
B. 11/3
C. \(3 / 2\)
D. 5/2

Question 2 :

Find the equation of thetgeus otgpoint \(P(x, y)\) which is equidistant from \(Q(0,0)\) and \(R(2,1)\)

A. \(2 x+y=5\)
B. 4 x+2 y=5
C. \(4 x-2 y=5\)
D. \(2 x+2 y=5\)

Question 3 :

\(\text { Simpify the express } \frac{\sqrt{1-\cos x}}{\sqrt{1+\cos x}}\)

A. Cos x
B. \(\sin x \)
C. \(1 \cos x\)
D. \(\frac{1-\cos x}{\sin x}\)

Question 4 :

If \(x+1\) is a tactor of \(2 x^{3}+3 x^{2}+k x+4\), tind the value of \(k . .\)

A. \(-5\)
B. 5
C. \(-4\)
D. 4

Question 5 :

Obtain the maximum value of the function \(f(x)=x^{3}-12 x+4\)

A. 20
B. 5
C. \(-2\)
D. 2
E. 27