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If a (a >0) is the value of parameter f...

If `a (a >0)` is the value of parameter for each of which the area of the figure bounded by the straight line `y=(a^2-a x)/(1+a^4)` and the parabola `y=(x^2+2a x+3a^2)/(1+a^4)` is the greatest, then the value of `a^4` is___

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CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. Find the area bounded by the curves x^2+y^2=4, x^2=-sqrt2 y and x=y

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  2. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

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  3. If a (a >0) is the value of parameter for each of which the area of t...

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  4. Consider two curves C1: y=1/x a n dC2: y=logx on the x y plane. Let D1...

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  5. Find the area bounded by y^2lt=4x ,x^2+y^2geq2x ,a n dxlt=y+2 in the f...

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  6. Find the area of the region R which is enclosed by the curve ygeqsqrt(...

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  7. Find the area of the region enclosed by the curves y=xlogx and y=2x-2x...

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  8. Find the area of the region {(x, y) : y^(2) le 4x, 4x^(2) + 4y^(2) le ...

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  9. Find the area of the figure bounded by the parabolas x=-2y^2, x=1-3y^2...

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  10. Find the area bounded by y=1/(x^2-2x+2) and x-axis.

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  11. Find the area bounded by x=2y-y^2 and the y-a x i s.

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  12. Find the area bounded by y=sin^(-1)x ,y=cos^(-1)x ,and the X-axis.

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  13. Draw a rough sketch of the curve y=(x-1)^2(x-2)(x-3)^3

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  14. Find the area bounded by (a) y = (log)e|x|a n dy=0 (b) y=|(log)e|x|...

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  15. Sketch the curves and identity the region bounded by x=1/2,x=2,y=lnx ,...

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  16. Sketch the region bounded by the curves y=x^(2) and y=(2)/(1+x^(2)). F...

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  17. Find the area of the region bounded by the curve C : y=tan x ,tangent ...

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  18. Compute the area of the region bounded by the curves y=e x(log)e xa n ...

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  19. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=...

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

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