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Show that the function F given by f(x)...

Show that the function F given by
`f(x)=x^3-3x^2+4x,x in R`
is strictly increasing

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Using elementary row operations, find the inverse of the matrix [[1,...

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  2. f(x) is a strictly increasing function, if f'(x) is........a)Positive...

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  3. Show that the function F given by f(x)=x^3-3x^2+4x,x in R is stri...

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  4. int0^af(a-x)dx =..... a)int0^(2a)f(x)dx b)int-a^af(x)dx c)int0^af(x)dx...

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  5. Find the value of int0^(pi/2)sin^4x/(sin^4x+cos^4x)dx

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  6. Find the area of the region bounded by the curve y^2=x x-axis and ...

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  7. Find the general solution of the differential equation xdy/dx+2y=x^2...

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  8. A manufacturer produces nuts and bolts. It takes 1 hour of work on mac...

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  9. Let A=NtimesN and ast be a binary operation on A defined by (a,b)...

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  10. Let A=NtimesN and ast be a binary operation on A defined by (a,b)...

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  11. Let A=NtimesN and ast be a binary operation on A defined by (a,b)...

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  12. Identify the function from the above graph

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  13. Find the domain and range of the function represented in above graph

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  14. Prove that tan^-1 (1/2)+tan^-1(2/11)=tan^-1(3/4)

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  15. (d(a^x))/dx =... a)a^x b)log(a^x) c)a^xlog a d)xa^(x-1)

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

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  17. Find the slope of the tangent to the curve y=(x-2)^2 at x=1

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  18. Find a point at which the tangent to the curve y=(x-2)^2 is parallel t...

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  19. Evaluate int0^2(x^2+1)dx as the limit of a sum

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  20. Consider the following figure Find the point of intersection 'P' of ...

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