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Prove that the curves y^2=4x and x^2=4y ...

Prove that the curves `y^2=4x` and `x^2=4y` divide the area of square bounded by `x=0,x=4,y=4` and `y=0` into three equal parts.

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RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
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  2. Find the area of the region enclosed between the two circles x^2 + y^2...

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  3. Prove that the curves y^2=4x and x^2=4y divide the area of square b...

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  4. Find the area bounded by the curve 4y^2=9x and 3x^2=16 y

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  5. Find the area of the region bounded by y=sqrt(x)a n dy=xdot

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  6. Find the area bounded by the curves y=4-x^2 and the lines y=0andy=3

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  7. Find the area of the region {(x ,\ y):(x^2)/(a^2)+(y^2)/(b^2)lt=1<=x/a...

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  8. Using integration, find the area of the region bounded by the triangle...

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  9. Using integration, find the area of the triangle ABC whose vertices ar...

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  10. Using integration find the area of the triangular region whose side...

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  11. A point chanrge of magnitude q=4.5nC is moving with speed v=3.6xx10^7m...

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  12. Find dy/dx if y= logx+sinx

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  13. Find dy/dx if x^2+y^2=16

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  14. Find the area of the region included between the parabola y^2=x and...

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  15. Draw a rough sketch of the region {(x,y): y^2 le 3x,3x^2 + 3y^2 le16 }...

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  16. Draw a rough sketch of the region {(x , y): y^2lt=5x ,\ 5x^2+5y^2lt=36...

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  17. Draw a rough sketch and find the area of the region bounded by the par...

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  18. Find the area included between the parabolas y^2=4a x\ a n d\ x^2=4b y...

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  19. Find the area of the region in the first quadrant enclosed by x-axis,...

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  20. Find the area of the region bounded by y=sqrtx ,\ x=2y+3 in the first ...

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