Definite integrals to find the area between two curves – medium (AS Level) – Primrose Kitten

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Definite integrals to find the area between two curves – medium (AS Level)

Last updated: 07/08/2020

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Question 1 of 25

1. Question
Find the area between the lines: $y=x^2-5x+4y=-x^2+6x-8$ Intersecting at (4,0) and (1 1/2,-1 1/4)
- 5.21
- 10.42
- 2.60
- 3.47
Correct

Incorrect
Question 2 of 25

2. Question
Find the area between the lines: $y=x^2-10x+16y=-1/2 x^2$ +7/2 x-5 Intersecting at (7,-5) and (2,0)
- 31.25
- 15.63
- 62.50
- 46.88
Correct

Incorrect
Question 3 of 25

3. Question
Find the area between the lines: $y=x^2+x-6y=-x^2$ -5x-6 Intersecting at (0,-6) and (-3,0)
- 9.00
- 6.00
- 13.50
- 4.50
Correct

Incorrect
Question 4 of 25

4. Question
Find the area between the lines: $y=4x^2-6x-4y=-4x^2+1$ Intersecting at (1 1/4,-5 1/4) and (-1/2,0)
- 7.15
- 3.57
- 10.72
- 4.26
Correct

Incorrect
Question 5 of 25

5. Question
Find the area between the lines: $y=x^2-6x+9y=-x^2+9$ Intersecting at (3,0) and (0,9)
- 9.00
- 4.50
- 6.00
- 13.50
Correct

Incorrect
Question 6 of 25

6. Question
Find the area between the lines: $y=x^2-11x+28y=-x^2+10x-21$ Intersecting at (7,0) and (3 1/2,1 3/4)
- 14.29
- 28.58
- 9.53
- 128.62
Correct

Incorrect
Question 7 of 25

7. Question
Find the area between the lines: $y=x^2+3x-4y=-2x^2+9x-4$ Intersecting at (2,6) and (0,-4)
- 4.00
- 2.00
- 8.00
- 6.00
Correct

Incorrect
Question 8 of 25

8. Question
Find the area between the lines: $y=x^2-7x+6y=-1/2 x^2+7/2 x-3$ Intersecting at (6,0) and (1,0)
- 31.25
- 20.83
- 15.63
- 46.88
Correct

Incorrect
Question 9 of 25

9. Question
Find the area between the lines: $y=x^2+7x+6y=-x^2-5x-4$ Intersecting at (-1,0) and (-5,-4)
- 21.33
- 10.67
- 12.00
- 42.67
Correct

Incorrect
Question 10 of 25

10. Question
Find the area between the lines: $y=x^2+13x+42y=-1/2 x^2-2x+6$ Intersecting at (-4,6) and (-6,0)
- 2.00
- 110.00
- 4.00
- 3.00
Correct

Incorrect
Question 11 of 25

11. Question
Find the area between the lines: $y=2x^2+17x+30y=-x^2-x+6$ Intersecting at (-2,4) and (-4,-6)
- 4.00
- 2.67
- 36.00
- 6.00
Correct

Incorrect
Question 12 of 25

12. Question
Find the area between the lines: $y=x^2+4x-5y=-x^2-9x-20$ Intersecting at (-1 1/2,-8 3/4) and (-5,0)
- 14.29
- 9.53
- 28.58
- 21.44
Correct

Incorrect
Question 13 of 25

13. Question
Find the area between the lines: $y=x^2+6x+5y=-2x^2-21x-49$ Intersecting at (-3,-4) and (-6,5)
- 13.50
- 6.75
- 20.25
- 27.00
Correct

Incorrect
Question 14 of 25

14. Question
Find the area between the lines: $y=x^2-7x+6y=-x^2+6x-5$ Intersecting at (5 1/2,-2 1/4) and (1,0)
- 30.38
- 60.75
- 15.19
- 45.56
Correct

Incorrect
Question 15 of 25

15. Question
Find the area between the lines: $y=x^2+10x+24y=-1/2 x^2-5x-12$ Intersecting at (-4,0) and (-6,0)
- 2.00
- 3.00
- 1.00
- 4.00
Correct

Incorrect
Question 16 of 25

16. Question
Find the area between the lines: $y=2x^2+20x+42y=-x^2-7x-12$ Intersecting at (-3,0) and (-6,-6)
- 13.50
- 27.00
- 25.25
- 6.75
Correct

Incorrect
Question 17 of 25

17. Question
Find the area between the lines: $y=1/2 x^2-8y=-x^2-9x-20$ Intersecting at (-2,-6) and (-4,0)
- 2.00
- 3.00
- 4.00
- 18.00
Correct

Incorrect
Question 18 of 25

18. Question
Find the area between the lines: $y=x^2-15x+56y=-x^2+16x-63$ Intersecting at (8 1/2,3/4) and (7,0)
- 1.13
- 0.56
- 1.69
- 2.25
Correct

Incorrect
Question 19 of 25

19. Question
Find the area between the lines: $y=x^2-7x+6y=-1/2 x^2+13/2 x-15$ Intersecting at (7,6) and (2,-4)
- 31.25
- 62.50
- 20.83
- 6,75
Correct

Incorrect
Question 20 of 25

20. Question
Find the area between the lines: $y=x^2+10x+21y=-x^2-12x-35$ Intersecting at (-4,-3) and (-7,0)
- 9.00
- 6.00
- 18.00
- 13.50
Correct

Incorrect
Question 21 of 25

21. Question
Find the area between the lines: $y=x^2-6x+8y=-x^2+5x-4$ Intersecting at (4,0) and (1 1/2,1 1/4)
- 5.21
- 10.54
- 3.47
- 10.42
Correct

Incorrect
Question 22 of 25

22. Question
Find the area between the lines: $y=x^2-5x+6y=-x^2+9x-14$ Intersecting at (5,6) and (2,0)
- 9.00
- 25.67
- 4.50
- 18.00
Correct

Incorrect
Question 23 of 25

23. Question
Find the area between the lines: $y=x^2-13x+42y=-x^2+10x-21$ Intersecting at (7,0) and (4 1/2,3 3/4)
- 5.21
- 217.54
- 3.47
- 7.81
Correct

Incorrect
Question 24 of 25

24. Question
Find the area between the lines: $y=x^2-4y=-x^2-5x-6$ Intersecting at (-1/2,-3 3/4) and (-2,0)
- 1.13
- 0.21
- 0.75
- 0.56
Correct

Incorrect
Question 25 of 25

25. Question
Find the area between the lines: $y=x^2-8x+15y=-x^2+9$ Intersecting at (3,0) and (1,8)
- 2.67
- 4.00
- 1.33
- 5.33
Correct

Incorrect

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