Further Mathematics Questions and Answers
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.
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.
If x2+y2+−2x−6y+5=0, evaluate dy/dx when x=3 and y=2.
2
-2
-4
4
Correct answer is A
x2+y2+−2x−6y+5=0
When differentiated:
x2+y2+−2x−6y+5=0 → 2x + 2y - 2 - 6 = 0
where x=3 and y=2
2[3] + 2[2] - 8 = 0
6 + 4 - 8 = 2
Given that 8x+mx2−3x−4≡5x+1+3x−4
23
17
-17
18
Correct answer is C
8x+mx2−3x−4≡5x+1+3x−4
8x+mx2−3x−4 ≡ 5(x−1)+3(x+4)x2−3x−4
multiplying both sides by x2-3x-4
8x+m ≡ 5(x-4)+3(x+1)
8x + m ≡ 5x - 20 + 3x + 3
8x - 5x - 3x + m = -20 + 3
m = -17
Differentiate 5x3+x2x, x ≠ 0 with respect to x.
10x + 1
10x + 2
x(15x + 1)
x(15x + 2)
Correct answer is A
5x3+x2x → 5x3x+x2x
5x2 + x
Then dy/dx = 10x + 1
If 36, p,94 and q are consecutive terms of an exponential sequence (G.P), find the sum of p and q.
9/16
81/16
9
9 916
Correct answer is D
GP : 36, P, q4, q, ... p + q = ?
| Recall, | common | ratio, | r | = | Tn
Tn-1 |
= | T2
T1 |
= | T3
T2 |
= | T4
T3 |
| ∴ | P
36 |
= | 9
4 |
÷ | p | ; | p2 | = | 9
4 |
x | 36 | ; | p2 | = | 81 |
| p | = | 9 | ∴ | r | = | T2
T1 |
= | 9
36 |
= | 1
4 |
| Also | r | = | T4
T3 |
= | q | ÷ | 9
4 |
∴ 14 = q ÷ 94 ;
94 = 4q
| 16q | = | 9 | , | q | = | 9
16 |
∴ | p | + | q | = | 9 | + | 9
16 |
= | 9 | 9
16 |
Evaluate ∫0−1 (x + 1)(x - 2) dx
7/6
5/6
-5/6
-7/6
Correct answer is D
∫0−1 (x + 1)(x - 2) dx
= ∫0−1 x2−x−2 dx
Integrated x2−x−2 = x33−x22−2