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If y=ae^(5x)+be^(-5x), show that (d^2y)/...

If `y=ae^(5x)+be^(-5x)`, show that `(d^2y)/(dx^2)-25y=0`

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A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. The derivative of 2^(sinx) is

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  2. Find dy/dx if x^y = y^x

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  3. If y=ae^(5x)+be^(-5x), show that (d^2y)/(dx^2)-25y=0

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  4. int1/cos^2xdx= a)sec^2x+C b)tan^2x+C c)secx+C d)tanx+C

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  5. Find intxtan^-1xdx.

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  6. Consider the vectors veca=hati-hatj+3hatk and vecb=3hati-7hatj+hatk ...

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  7. Consider the vectors veca=hati-hatj+3hatk and vecb=3hati-7hatj+hatk ...

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  8. Consider the vectors veca=hati-hatj+3hatk and vecb=3hati-7hatj+hatk Fi...

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  9. Consider the vectors veca=2hati-3hatj+hatk Find abs(veca)

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  10. Consider the vectors veca=2hati-3hatj+hatk Find lamda if veca is per...

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  11. Consider the vectors veca=2hati-3hatj+hatk. Find a vector parallel t...

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  12. Find the relationship between p and q so that the function f(x) = {...

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  13. Find dy/dx of the following y=sec^(-1)((1)/(2x^2-1))

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  14. If f:R rarr R, f(x)=x+3. Then find fof(1)

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  15. Consider f:RrarrR, f(x)=4x+5. Show that f is invertible.

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  16. Consider f:RrarrR, f(x)=4x+5. Show that f is invertible.

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  17. The order of the differential equation (x/y) (d^2y)/(dx^2)+((xdy/dx-...

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  18. Solve : dy/dx=(x^2+y^2)/(2xy)

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  19. Slope of the tangent to the curve y=3x^2+2sinx at x=0 is

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  20. The volume of a cube is increasing at the rate of 5cm^3/s. How fast is...

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