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Find the area of region founded by two p...

Find the area of region founded by two parabolas :
`y^(2)=9/4x` and `x^(2)=16/3y`

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Statement I- The area of region bounded parabola y^(2)=4x and x^(2)=4y " is " 32/3 sq units. Statement II- The area of region bounded by parabola y^(2)=4ax and x^(2)=4by " is " 16/3 ab .

Draw the rough sketch and find the area of region bounded between the parabolas, y^2 = 16x and x^2 = 16y by using integration.

MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Find the area of the region bounded between parabolas y^2 = x and the ...

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  2. Find the area of region founded by two parabolas : y^(2)=ax and x^(2...

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  3. Find the area of region founded by two parabolas : y^(2)=9/4x and x^...

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

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

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  6. Calculate the area of the region enclosed between the circles: (iii) x...

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  7. Calculate the area of the region enclosed between the circles: (iv) (x...

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  8. (i) Show that the areas under the curves f(x)=cos^2x and f(x)=sin^2x b...

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  9. (ii) Compare the areas under the curves y=cos^2x and y=sin^2x between ...

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  10. (a) (i)Find the area of the circle x^2+y^2=16, which is exterior to th...

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  11. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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  12. (b) Find the area of the region bounded by the circle x^2+y^2=16 and t...

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  13. find the area of region founded by the circle x^(2)+y^(2)=1 and line x...

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  14. Make a rough sketch of the region given below and find its area, using...

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  15. Calculate the area enclosed in the region: (iii) {(x,y):x^2+y^2le16,x^...

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  16. Calculate the area enclosed in the region: (iv) {(x,y):y^2le6ax,x^2+y^...

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  17. Draw the rough sketch and find the area of the region: (i){(x,y):x^2 <...

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  18. Draw the rough sketch and find the area of the region : {(x, y) : 4 x^...

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  19. Find the area of the region {(x,y) : 0leylex^2 + 1, 0leylex+1, 0lexle2...

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  20. Draw the rough sketch and find the area of the region: (iv){(x,y):x^2+...

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