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Find the area, lying above the x=axis an...

Find the area, lying above the x=axis and included between the circle `x^2+y^2=8x` and the parabola `y^2=4xdot`

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To find the area lying above the x-axis and included between the circle \(x^2 + y^2 = 8x\) and the parabola \(y^2 = 4x\), we can follow these steps: ### Step 1: Rewrite the equations 1. **Circle**: The equation \(x^2 + y^2 = 8x\) can be rewritten as: \[ (x - 4)^2 + y^2 = 16 \] This represents a circle with center at \((4, 0)\) and radius \(4\). ...
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CENGAGE ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Consider a square with vertices at (1,1)(-1,1)(-1,-1)and(1,-1). Let S ...

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  2. Find the area bounded by y=x^3-x and y=x^2+xdot

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  3. Find the area, lying above the x=axis and included between the circle ...

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  4. Consider the region formed by the lines x=0,y=0,x=2,y=2. If the area e...

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  5. Find the area bounded by the curve y=(x-1)(x-2)(x-3) lying between the...

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  6. Find the area bounded by the parabola y=x^2+1 and the straight line x+...

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  7. Find the area of the closed figure bounded by the curves y=sqrt(x),y=s...

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  8. Find the area of the smaller part of the circle x^2+y^2=a^2 cut off...

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  9. The area enclosed by the curve c : y=xsqrt(9-x^2) (xgeq0) and the x-ax...

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  10. The area bounded by the curves y=x(x-3)^2a n dy=x is (in sq. units)

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  11. Column I, Column II Area enclosed , q. 1. sq. units The sma...

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  12. Consider two regions: R1: Point P is nearer to (1,0) then to x=-1. ...

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  13. Statement 1 : The area bounded by 2geqm a xdot{|x-y|,|x|y"|"} is 8 sq....

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  14. Statement 1 : The area enclosed between the parabolas y^2-2y+4x+5=0a n...

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

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

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

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

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

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

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