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If xsqrt(1+y)=sqrtx, prove that dy/dx=-1...

If `xsqrt(1+y)=sqrtx`, prove that dy/dx=`-1/(x^2)`

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A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Find int(x^2)/(2x^3+1) dx=--------

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  2. Prove that the function f(x)=2x-5 is continuous at x=-2

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  3. If xsqrt(1+y)=sqrtx, prove that dy/dx=-1/(x^2)

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  4. The factor of 3 is

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  5. Solve: x-y+2z=7 3x+4y-5z=-5 2x-y+3z=12

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  6. On Z^+,a*b=2^sqrt(ab), value of 4*9 is--------

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  7. In each of the following cases, states whether the function is one-one...

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  8. If f(x)=2x+3, findf[f(x)].

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  9. The total revenue received from tha sale of x units of a product is R(...

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  10. Find the equation of the normal to the curve x^2=9y which passes throu...

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  11. Consider the lines l1:(x-1)/2=(y-1)/-1=z/1 l2:(x-2)/3=(y-1)/-5=(z+1)/...

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  12. Consider the lines l1:(x-1)/2=(y-1)/-1=z/1 l2:(x-2)/3=(y-1)/-5=(z+1)/...

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  13. The condition for the lines with direction ratio a1,b1,c1 and a2,b2,c2...

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  14. Find the angle between the lines (x+3)/3=(y-1)/5=(z+3)/4 and (x+1)...

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  15. Consider the differential equation dy/(dx)+y=cos(e^x) Write the orde...

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  16. Consider the differential equation dy/(dx)+y=cos(e^x) . Solve the dif...

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  17. Consider the differential equationdy/dx=4xy. Write the order and degr...

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  18. Consider the differential equationdy/dx=4xy. Solve the differential e...

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  19. Consider the curve (x^2)/16+(y^2)/9=1 Find the points of intersectio...

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  20. Find the area of the region bounded by the ellipse x^2/16+y^2/9=1.

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