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If the area by y=x^2+2x-3 and the line y...

If the area by `y=x^2+2x-3` and the line `y=k x+1` is the least, find `k` and also the least area.

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CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. Find the area of the figure enclosed by the curve 5x^2+6x y+2y^2+7x+6y...

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  2. If the area by y=x^2+2x-3 and the line y=k x+1 is the least, find k an...

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  3. Area enclosed by the curve y=f(x) defined parametrically as x=(1-t^2)/...

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  4. Sketch and find the area bounded by the curve sqrt(|x|)+sqrt(|y|)=sqrt...

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  5. Let f(x)=min (x+1,sqrt(1-x)) for all xlt=1. Then the area bounded by y...

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  6. The area enclosed by 2|x|+3|y|lt=6 is (a) 3 sq. units (b) 4 sq. uni...

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  7. If An is the area bounded by y=x and y=x^n ,n in \mathbb{N} ,then A2 A...

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  8. Area enclosed between the curves |y|=1-x^2 and x^2+y^2=1 is (a) (3pi-8...

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  9. If the area of bounded between the x-axis and the graph of y=6x-3x^2 b...

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  10. The area enclosed between the curves y=(log)e(x+e),x=(log)e(1/y), and ...

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  11. If An be the area bounded by the curve y=(tanx)^n and the lines x=0,\ ...

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  12. Find all the possible values of b >0, so that the area of the bounded ...

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  13. Let f(x)=M a xi mu m{x^2,(1-x)^2,2x(1-x)}, where 0lt=xlt=1. Determin...

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  14. Let O(0,0),A(2,0),a n dB(1, 1/(sqrt(3))) be the vertices of a triangle...

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  15. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

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  16. The area bounded by the x-axis, the curve y=f(x), and the lines x=1,x=...

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  17. Let f(x) be a non-negative continuous function such that the area boun...

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  18. The area bounded by the curves y=sin^(-1)|sinx|a n dy=sin^(-1)|sinx|^2...

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  19. The area bounded by the two branches of curve (y-x)^2=x^3 and the stra...

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  20. The area bounded by the curves y=loge x and y=(loge x)^2 is (A) ...

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