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Let S be the area bounded by the curve y...

Let `S` be the area bounded by the curve `y=sinx(0lt=xlt=pi)` and the x-axis and `T` be the area bounded by the curves `y=sinx(0lt=xlt=pi/2),y=acosx(0lt=xlt=pi/2),` and the x-axis `(w h e r ea in R^+)` The value of `(3a)` such that `S : T=1:1/3` is______

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CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. Statement 1 : The area enclosed between the parabolas y^2-2y+4x+5=0 an...

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  2. If the area bounded by the corve y=x^(2)+1, y=x and the pair of lines ...

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  3. Let S be the area bounded by the curve y=sinx(0lt=xlt=pi) and the x-ax...

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  4. Let C be a curve passing through M(2,2) such that the slope of the tan...

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  5. Let f(x) be continuous function given by f(x)={2x ,|x|lt=1and x^2+a x+...

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  6. Let C1C2 be the graphs of the functions y=x^2 and y=2x , respectively,...

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  7. Find the area bounded by the curve x^(2) = 4y and the line x = 4y - 2.

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  8. The area of the region bounded by the curves y=x^(2),y=|2-x^(2)| and y...

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  9. If [(4a^2,4a, 1),(4b^2, 4b,1), (4c^2, 4c, 1)] [(f(-1)),(f(1)),(f(2))] ...

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  10. If f(x) is a function such that f'(x)=(x-1)^2 (4-x), then

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  11. The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b)...

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  12. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

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  13. The area bounded by the parabolas y=(x+1)^2 and y=(x-1)^2a n dy=(x-1)^...

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  14. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

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  15. Find the area bounded by y=tan^(-1)x , y=cot^(-1)x ,and y-axis in the...

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  16. the equation to the director circle of (x^2)/6+(y^2)/4=1 is

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  17. Find the area bounded by y=loge x , y=-loge x ,y=loge(-x),a n dy=-loge...

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  18. The area of region for which 0 lt y lt 3 - 2x-x^2 and x gt 0 is

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  19. The area common to regions x^2+y^2-2xlt=0 and ygeq sin (pix/2)

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  20. Draw the rough sketch of the curve y=x^(4)-x^(2).

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