WAEC Further Mathematics Past Questions & Answers - Page 89

441.

Simplify \(\frac{x^{3n + 1}}{x^{2n + \frac{5}{2}}(x^{2n - 3})^{\frac{1}{2}}}\)

A.

\(0\)

B.

\(-\frac{1}{2}\)

C.

\(1\)

D.

\(10\)

Correct answer is C

No explanation has been provided for this answer.

442.

The diagram above is a velocity- time graph of a moving object. Calculate the distance travelled when the acceleration is zero.

A.

300 m

B.

90 m

C.

150 m

D.

210 m

Correct answer is C

The acceleration is between the times 3 secs and 8 secs.

Distance = \(velocity \times time\)

= \(30 \times (8 - 3) = 30 \times 5\)

= \(150 m\)

443.

\(g \circ h\) is

A.

one- to- one

B.

onto

C.

a relation

D.

a series

Correct answer is B

The function \(y = g(x)\) is one- to- one but \(z = h(y)\) is not one- to- one but onto. 

\(\therefore h(g(x)) = onto\)

444.

From the diagram above, \(h[g(3)]\) is

A.

S

B.

\(\beta\)

C.

\({s, \beta}\)

D.

\({s, w, \beta}\)

Correct answer is B

From the diagram, \(g(3) = s; h(s) = \beta\).

445.

From the diagram above, which of the following represents the vector V in component form?

A.

\(-5\sqrt{3} i + 5j\)

B.

\(3i + 3\sqrt{3}j\)

C.

\(i + 2\sqrt{3}j\)

D.

\(-2\sqrt{3}i - j\)

Correct answer is B

\(V = V\cos \theta i + V\sin \theta j\)

\(6N = 6 \cos 60 i + 6 \sin 60 j\)

= \(3i + 3\sqrt{3} j\)