Elective Maths 24

Elective Maths 24

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Question 1 of 20

1. Question
Given that $25^x-30(5^x)+125=0$ , find the values of X.
- -1 or 2
- 0 or 1
- 0 or 2
- 1 or 2
Correct

Incorrect
Question 2 of 20

2. Question
Solve $3^{2x}-3^{x+2}=3^{x+1}-27$
- 1 and 0
- 1 or 2
- 1 or -2
- -1 or 2
Correct

Incorrect
Question 3 of 20

3. Question
Given that ${log}_{10}{x}=aand {log}_{10}{y}=b$ , express ${log}_{10}{\frac{10x^3}{\sqrt y}}$ in terms of a and b.
- $3a+\frac{1}{2}b+1$
- $3a-\frac{1}{2}b-1$
- $3a-\frac{1}{2}b+1$
- $3b-\frac{1}{2}a+1$
Correct

Incorrect
Question 4 of 20

4. Question
Evaluate $\frac{{log}_m{2}56}{{log}_m{6}4}$
- 2
- 4/3
- -4/3
- -2
Correct

Incorrect
Question 5 of 20

5. Question
Find the value of x in the equations ${log}_x{y}=3and xy=16$ .
- 1
- 2
- 3
- 4
Correct

Incorrect
Question 6 of 20

6. Question
Given that ${log}_{10}{y}+2{log}_{10}{x}=3$ , express y in terms of x.
- $y=3-2x$
- $y=\frac{3}{2x}$
- $y=\frac{500}{x}$
- $y=\frac{1000}{x^2}$
Correct

Incorrect
Question 7 of 20

7. Question
Express $3{log}_{10}{x}-\frac{1}{2}{log}_{10}{y}+1$ as a single logarithm.
- ${log}_{10}{\frac{10x^3}{\sqrt y}}$
- ${log}_{10}{(}10x^3\sqrt y)$
- ${log}_{10}{(}x^3\sqrt y)$
- ${log}_{10}{\frac{x^3}{\sqrt y}}$
Correct

Incorrect
Question 8 of 20

8. Question
If $log{(}x-8)=1-log{(}x+1)$ , the possible value of X.
- 2
- 3
- 6
- 9
Correct

Incorrect
Question 9 of 20

9. Question
Express $log{\left(\frac{x\sqrt y}{z^\frac{1}{3}}\right)}$ in terms of log x, log y and log z.
- $\frac{1}{3}log{z}-log{x}+\frac{1}{2}log{y}$
- $3log{z}-log{x}+\frac{1}{2}log{y}$
- $log{x}-\frac{1}{2}log{y}-3log{z}$
- $log{x}+\frac{1}{2}log{y}-3log{z}$
Correct

Incorrect
Question 10 of 20

10. Question
Given that ${log}_{10}{7}=0.845,$ , express 7²⁰⁰ as power of 10.
- $10^{168}$
- $10^{169}$
- $10^{170}$
- $10^{172}$
Correct

Incorrect
Question 11 of 20

11. Question
If $\int_{-2}^{3}{(kt-1)dt=0}$ , find the value of k.
- -2
- -2/5
- 2/5
- 2
Correct

Incorrect
Question 12 of 20

12. Question
If $\int{(3x^2+4x)dx}$ and y = 7 when x=1, find y.
- $y=x^3+2x+7$
- $y=x^3+2x-7$
- [latex]y=x^3+2x-4[/latex]
- $y=x^3+2x+4$
Correct

Incorrect
Question 13 of 20

13. Question
Evaluate $\int_{2}^{3}{(x^3-2)dx}$
- $11\frac{1}{4}$
- $12\frac{1}{4}$
- $13\frac{1}{4}$
- $14\frac{1}{4}$
Correct

Incorrect
Question 14 of 20

14. Question
Evaluate $\int_{-2}^{2}{(3x^3-x-1)dx}$
- 24
- 22
- 14
- 12
Correct

Incorrect
Question 15 of 20

15. Question
Evaluate $\int_{-1}^{0}{(x+1)(x-2)dx}$
- -7/6
- -5/6
- 5/6
- 7/6
Correct

Incorrect
Question 16 of 20

16. Question
Evaluate $\int_{0}^{2}{(x-3)^2dx}$
- 10/3
- 16/3
- 26/3
- 32/3
Correct

Incorrect
Question 17 of 20

17. Question
Evaluate $\int_{-1}^{1}{(1-\frac{1}{x^3})dx}$
- 0
- ½
- 1
- 2
Correct

Incorrect
Question 18 of 20

18. Question
Evaluate $\int_{-2}^{1}{(x^2+3x)dx}$
- -12
- -5
- -1.5
- 1.5
Correct

Incorrect
Question 19 of 20

19. Question
Evaluate $\int_{1}^{3}{x^2(4x+3)dx}$
- 106
- 110
- 2182
- 2192
Correct

Incorrect
Question 20 of 20

20. Question
Evaluate $\int_{1}^{9}\frac{dx}{\sqrt x}$
- 1
- 2
- 3
- 4
Correct

Incorrect

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