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Find the intervals in which the function...

Find the intervals in which the function `y=(lnx)/(x)` is increasing and decreasing.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.

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  2. Find the equation of tangent to the curve x=y^2-2 at the points where ...

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  3. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  4. Solve dy/dx=x+y

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  5. int(2sinx+3cosx)/(3sinx+4cosx)dx=?

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  6. Solve (dy)/(dx)=(y^2)/(xy-x^2).

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  7. Integrate int(-3//5)^(3//5)[2x+1]dx

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  8. Evaluate int0^1(x^5)/sqrt(1-x^2) dx

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  9. Find the co-ordinates of the point where the perpendicular from the or...

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  10. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

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  11. Find the equation of the plane passing through the line x = y = z and ...

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  12. Find the equation of the line through (-1,0,1) and perpendicular to th...

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  13. Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...

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  14. Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...

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  15. Prove the following by vector method. Altitudes of a triangle are conc...

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  16. Prove that the measure of the angle between two main diagonals of a cu...

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  17. Let f : R to R be defined by f(x)=3x+5. Show that f is bijective. Find...

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  18. Prove that tan (pi/4+1/2cos^(-1)""a/b)+tan(pi/4-1/2cos^(-1)""a /b)=(2b...

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