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Let f(x) be continuous function given by...

Let `f(x)` be continuous function given by `f(x)={2x ,|x|lt=1`and `x^2+a x+b ,|x|>1}dot`
Find the area of the region in the third quadrant bounded by the curves `x=-2y^2a n dy=f(x)` lying on the left of the line `8x+1=0.`

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CENGAGE ENGLISH-APPLICATION OF INTEGRALS-All Questions
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  2. Let C be a curve passing through M(2,2) such that the slope of the tan...

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

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

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  5. Find the area bounded by the curves x^2 = y, x^2 = -y and y^2 = 4x -3

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

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  7. At freezing point of a solution there is always

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

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

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

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

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

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

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  18. f(x) is a continuous and bijective function on Rdot If AAt in R , the...

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  20. Find the area bounded by the curves y=-x^2+6x-5,y=-x^2+4x-3, and the s...

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