Post Utme Mathematics Past Questions and Answers

Question 386:

Differentiate \((\cos \theta+\sin \theta)^{2}\) with respect to \(\theta\)

A. \(2 \cos 2 \theta\)
B. \(2 \sin 2 \theta\)
C. \(-2 \cos 2 \theta\)
D. \(-2 \sin 2 \theta\)

Question 387:

If the sum of the roots of the equation \(2 x^{2}-5 p x+8=0\) is five times the product of the roots, find the value of \(p\).

A. \(-8\)
B. \(\frac{1}{2}\)
C. 8
D. \(-\frac{1}{2}\)

Question 388:

Find the area of the region enclosed by the curve \(y=2-x^{2}\) and the line \(y=-x\)

A. \(3 / 2\)
B. 9
C. 3
D \(9 / 2\)

Question 389:

If \(x-1\) is a factor of \(3 x^{2}-p x^{2}+5 x-3 p\), find the value of \(p\)

A. \(-2\)
B. 2
C. \(1 / 2\)
D. \(-1 / 2\)

Question 390:

Find \(n\) if \(31410-2567=340 n\)

A. 7
B. 8
C. 9
D. 10