Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
\(\frac{3}{2}\)
1
\(\frac{1}{2}\)
0
Correct answer is D
\(\frac{1}{x^2 - 4} = \frac{P}{(x + 2)} + \frac{Q}{(x - 2)}\)
I = p(x - 2) + Q(x + 2)
Let x = 2
I = P(2 - 2) + Q(2+ 2)
I = -4Q
Q = \(\frac{1}{4}\)
Let x = -2
I = P(-2 - 2) + Q(-2 + 2)
I = -4p
P = \(\frac{1}{-4}\)
PQQ = - \(\frac{1}{4} + \frac{1}{4}\)
= 0
A. (r ^ p) \(\to\) q
(r ^~ p) \(\to\) q
(r ^ q) \(\to\) p
(r ~ ^ p) \(\to\) q
Correct answer is A
No explanation has been provided for this answer.
If g : r \(\to\) 5 - 2r, r is a real number, find the image of -3
13
11
-1
-9
Correct answer is B
g(-3) = 5 - 2(-3)
= 5 + 6 = 11
Q`(5, -8)
Q`(-8, 5)
Q`(5, -3)
Q`(-5, -8)
Correct answer is A
Q(3 -3, 2) = [-(-3) + 2, -4(2)]
= (3 + 2, -8)
= (5, -8)
Given that g ; x \(\to\) 3x and f ; x \(\to\) cos x. Find the value of g\(^o\) f(20\(^o\))
0.50
0.94
2.60
2.82
Correct answer is D
f(20\(^o\)) = cos 20\(^o\) = 0.9397
g(0.9397) = 3(0.9397)
= 2.82