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Draw the rough sketch and find the area ...

Draw the rough sketch and find the area of the region : `{(x, y) : 4 x^2 + y^2 le 4, 2 x + y ge 2}`.

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Find the area of the smaller region bounded by the ellipse x^2/a^2 + y...

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  2. Find the area of the smaller region bounded by the (ii) x^2/16+y^2/9=1...

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

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  4. Draw the rough sketch and find the area of the region : {(x, y) : 16 x...

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  5. Draw the rough sketch and find the area of region bounded between the ...

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  6. Draw the rough sketch and find the area of region bounded between the ...

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  7. Draw the rough sketch and find the area of region bounded between the ...

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

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  9. Find the area of the region bounded between parabolas y^2 = x and the ...

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

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

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

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

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

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

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

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

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

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

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

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