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Evaluate Lt(x toinfty)(x^2-sinx)/(x^2-2)...

Evaluate `Lt_(x toinfty)(x^2-sinx)/(x^2-2)`

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SRISIRI PUBLICATION-IPE:MARCH-2016(AP)-IPE:MARCH-2016(AP) MATHS-1B
  1. Reduce the equation x+2y-3z-6=0 of the plane to the normal form.

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  2. Compute the limit of Lt(x to3)(x^2-8x+15)/(x^2-9)

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  3. Evaluate Lt(x toinfty)(x^2-sinx)/(x^2-2)

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  4. If f(x)=2x^2+3x+5, then prove that f'(0)+3f'(-1)=0

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  5. Find dy/dx if x=acos^(3)t,y=asin^(3)t.

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  6. Find (Deltay) and dy if y=5x^2+6x+6,x=2 and Deltax=0.001

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  7. Verify the conditions of Lagrange's mean value theorem for the functio...

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  8. If the distance from 'P' to the points (2,3) and (2,-3) are in the rat...

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  9. When the origin is shifted to (-1,2) by the translation of axes, find ...

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  10. Find the points on the line 3x-4y-1=0 which are at a distance of 5 uni...

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  11. Find {:(" Lt"),(xrarra):}((xsina-asinx)/(x-a))

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  12. Find the derivative of sec3x using first principle.

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  13. Find the lengths of subtangent and subnormal at a point on the curve y...

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  14. The volume of a cube is increasing at a rate of 9 cubie centimeters pe...

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  15. Find the orthocentre of the triangle whose vertices are (-5,-7),(13,2)...

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  16. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of lines then prove th...

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  17. Find the angle between the lines joining the origin to the points of i...

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  18. Show that the lines whose direction cosines are given by l+m+n=0, 2mn...

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  19. If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-...

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  20. Find the angle between the curve y^2=4x and x^2+y^2=5

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