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Make a rough sketch of the region given below and find its area, using integration : `{(x,y):y^2le4x,4x^2+4y^2le9}`

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
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  11. Find the area enclosed by the parabola 4y = 3x^2 and the line 2y = 3x+...

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  12. Find the area of the region bounded by the curve y^2 = 4x and the lin...

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  13. Prove that the curves y^2 = 4x, x^2 = 4y, divide the area of the squar...

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  14. Draw the diagram to show the area enclosed by the curves: y^2=16x and ...

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  15. AOBA is the part of the ellipse 9x^2+y^2=36 in the first quadrant such...

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  16. Calculate the area of the region enclosed between the circles : x^2 + ...

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  17. Draw a rough sketch of the following region and find the area enclosed...

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  18. Find the area bounded by y=1+2 sin^(2)x,"X-axis", X=0 and x=pi.

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  19. Is the parabola y^2=4x symmetrical about x-axis?

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  20. Is the circle x^2+y^2=r^2 symmetrical about the line y=x?

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