Q9) The 2 curves y = x^3 and y = -3x + 4 meet at x = 1. The reqd area is made up of 2 parts: the area under the 1st curve from x = 0 to x = 1; the 2nd part is the area under the straight line from x = 1 to x = 4/3. Therefore reqd area:
Hi,
Im sorry i know this is a shit load of questions but I've been struggling all afternoon with them so any help would be greatly appreciated!! )
9. Find the area enclosed between the curve y = x 3 , the x -axis and the line y = -3 x + 4
10. Find the area enclosed by the curves y = ( x - 2)^2 and y = ( x - 4)^2 .
11. Find the area enclosed between the curves y = x^2 and y = x^3 .
12. Find the area enclosed by the curves y = x^2 and x = y62 .
13. Find the area bounded by the curve y = x^2 + 2 x - 8 and the line y = 2 x + 1.
14. Find the area bounded by the curves y = 1 - x^2 and y = x^2 - 1.
15. Find the exact area enclosed between the curve y = √(4 − x^2) and the line x - y + 2 = 0.
Answers:
9. 0.42 units^2
10. ⅔ units^2
11. 1/12 units^2
12. ⅓ units^2
13. 36 units^2
14. 2⅔ units^2
15. (π - 2) units^2
Last edited by V_L; 27 Mar 2017 at 10:03 PM.
Q9) The 2 curves y = x^3 and y = -3x + 4 meet at x = 1. The reqd area is made up of 2 parts: the area under the 1st curve from x = 0 to x = 1; the 2nd part is the area under the straight line from x = 1 to x = 4/3. Therefore reqd area:
Last edited by Drongoski; 26 Mar 2017 at 7:44 PM.
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Q10) The 2 curves intersect at x = 3 and touch the x-axis at x= 2 and x = 4 resp. The reqd area is made up of 2 parts (by symmetry, each of same area)
Last edited by Drongoski; 26 Mar 2017 at 7:57 PM.
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Hi, Thank you so so much!! Could you please explain how Q10 works please? Also i made a mistake on question 15, one of the equations was meant to be y = the square root of (4-x^2) so thats why the answers don't match
Last edited by 1729; 9 Apr 2017 at 5:03 PM.
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