Elective Maths 15

Elective Maths 15

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Question 1 of 20

1. Question
If $y=\sqrt x$ , find $\frac{dy}{dx}$ when x= 4
- 4
- 2
- ½
- ¼
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Question 2 of 20

2. Question
Find the limit of the function $\frac{3h+2h^2+4h^3}{h}$ as h approaches zero
- 0
- 2
- 3
- 4
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Question 3 of 20

3. Question
If $y=\frac{1}{(2-x)^2}$ , find $\frac{dy}{dx}$
- $\frac{-2}{(2-x)^3}$
- $\frac{-1}{(2-x)^3}$
- $\frac{2}{(2-x)^3}$
- $\frac{2}{2-x}$
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Question 4 of 20

4. Question
Find the maximum value of the curve $y=x^3-3x^2$
- 0
- 2
- 4
- 6
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Question 5 of 20

5. Question
What is the slope of the tangent to the curve $y=\frac{-27}{x}$ at the point (3,9)?
- 3
- -1/3
- -1
- -3
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Question 6 of 20

6. Question
A particle starts from rest and moves a distance $s=12t^2-2t^3$ meters in time t sec. find it acceleration after 1 second
- $24ms^{-2}$
- $18ms^{-2}$
- $12ms^{-2}$
- $10ms^{-2}$
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Question 7 of 20

7. Question
For what values of x will the function $f:x\rightarrow x^3-6x^2+5$ have turning points?
- 0,4
- 0,2
- 0,-2
- 0,-4
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Question 8 of 20

8. Question
A particle starts from rest and moves in a straight line in such a way that its velocity
vms^-1 at time t seconds is given by $v=3t^2-6t$ . Calculate the acceleration in the third second.
- $0ms^{-2}$
- $3ms^{-2}$
- $6ms^{-2}$
- $9ms^{-2}$
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Question 9 of 20

9. Question
Find the gradient of the tangent to the curve $y=x^3-2x+1$ at the point (-1,2)
- -1
- 1
- 5
- 10
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Question 10 of 20

10. Question
Find the equation of the tangent to the curve $y=4x^2-12x+3$ at the point (2,-1)
- y-4x+9=0
- y-4x-9=0
- y+4x+1=0
- y+4x-9=0
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Question 11 of 20

11. Question
$f:x\rightarrow(x^2+3)^2$ is defined on the set R of real numbers . find the gradient of f(x) at
x =1/2
- 4
- 6
- 6.5
- 10.6
Correct

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Question 12 of 20

12. Question
Find the gradient of the curve $y = x^2+2x+2 at x = -1$
- -1
- 0
- 1
- 2
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Question 13 of 20

13. Question
The velocity of a particle ms-1, after t seconds, is $v=3t^2+2t-1$ . Find the acceleration after 2 seconds.
- $10ms^{-2}$
- $13ms^{-2}$
- $14ms^{-2}$
- $17ms^{-2}$
Correct

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Question 14 of 20

14. Question
A particle projected from a fixed point with velocity 10 ms^-1 moves in a straight line such that its velocity after time t seconds is $v=bt^2+7t+c$ , where b and c are constants. 1 sec after projection, is acceleration is 1 ms^-2. Find the value of b and c
- b=-4, c=10
- b=4, c=-10
- b=-3, c=10
- b=3, c=3
Correct

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Question 15 of 20

15. Question
A particle projected from a fixed point with velocity 10 ms^-1 moves in a straight line such that its velocity after time t seconds is $v=bt^2+7t+c$ , where b and c are constants. 1 sec after projection, is acceleration is 1 ms^-2. Find the time when the particle is momentarily at rest.
- 1/3 s
- 1 s
- $3\frac{1}{3}s$
- 10 s
Correct

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Question 16 of 20

16. Question
A particle projected from a fixed point with velocity 10 ms^-1 moves in a straight line such that its velocity after time t seconds is $v=bt^2+7t+c$ , where b and c are constants. 1 sec after projection, is acceleration is 1 ms^-2. Find the distance it travels after 3 secs, if its initial distance was 2m.
- 31.5m
- 34.5m
- 36.5m
- 90.5m
Correct

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Question 17 of 20

17. Question
If $y=3x^2-5$ , x=2 and $\mathrm{\Delta x}=0.1$ , find $\mathrm{\Delta y}$ , where $\mathrm{\Delta}x_and_\mathrm{\Delta y}$ are the increments in x and y.
- 1.23
- 1.3
- 1.4
- 1.6
Correct

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Question 18 of 20

18. Question
A rectangle has a perimeter of 24cm. Find its dimension if its area is to be a maximum.
- 6 X 3
- 6 X 6
- 4 X 8
- 12 X 12
Correct

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Question 19 of 20

19. Question
The distance s meters travelled by a particle in a straight line is $s=12t^2+110t$ . What is the velocity after 1 sec?
- $122 ms^{-1}$
- $134 ms^{-1}$
- $144 ms^{-1}$
- $220 ms^{-1}$
Correct

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Question 20 of 20

20. Question
If p(2,-1) is a turning point of the graph of $y=ax^2+bx+3$ , find the value of a and b.
- a=1, b=4
- a=-1, b=4
- a=1, b=-4
- a=-1,b=-4
Correct

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