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Let f(x)=" max "{x^(2),(1-x)^(2),2x(1-x)...

Let `f(x)=" max "{x^(2),(1-x)^(2),2x(1-x)}` where `0le x le 1`. Determine the area of the region bounded by `y=f(x)`, x-axis, x = 0 and x = 1.

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The correct Answer is:
`7//27`
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AAKASH SERIES-AREAS-Exercise-3.2
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  2. Find the area of the region bounded by y=3^(x) and the lines y = 3 and...

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  3. Find the area of the region enclosed by the parabola y=x^(2) + 2, the ...

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  4. Find the area enclosed by the curves y= l nx, y= 2^(x) and the lines x...

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  5. Find area enclosed by |y|=1-x^(2).

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  6. Find the area enclosed between y= sqrt(5-x^(2)) and the lines y= |x-1|

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  7. Find the ratio in which the area bounded by the curves y^(2)=12x and x...

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  8. Find the ratio of the curves into which the circle x^(2) + y^(2)= 64 i...

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  9. The area of the region bounded by the curves y=2^(x),y=2x-x^(2) and th...

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  10. Find the area of the region bounded by the curves y= x^(2) and y= (2)/...

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  11. The area bounded by the curves y=xe^(x),y=xe^(-x) and line x=1, is

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  12. Find the area of the region bounded by the lines y=|x-1| and y=3-|x|

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  13. Find the area of the region bounded by the curves x=|y^(2)-1| and y=x-...

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  14. Find the are of the region bounded by y= log(e )x and y= sin^(4) (pi x...

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  15. Find the area of the region bounded by 4y=|4-x^(2)| and y=7-|x|

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  16. Find the area enclosed by y=log(e)(x+e) and x=log(e)((1)/(y)) and the ...

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  17. Let f(x)= "max" {sin x, cos x, (1)/(2)}. Determine the area of the reg...

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  18. Let f(x)=" max "{x^(2),(1-x)^(2),2x(1-x)} where 0le x le 1. Determine ...

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  19. Let A(n) between area bounded by the curve y=(tan x)^(n),n in N and th...

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  20. Find the area bounded by the curves y= cos x and y= sin x between the ...

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