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Show that the functionf(x) = 4x^3-18x^2+...

Show that the function`f(x) = 4x^3-18x^2+ 27x – 7` is always increasing on `R`

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    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Find (dy)/(dx) at x=1, y=pi/4 if sin^2 y+cos xy=k

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  2. The volume of a sphere is increasing at the rate of 3 cubic centimeter...

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  3. Show that the functionf(x) = 4x^3-18x^2+ 27x – 7 is always increasing ...

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  4. Find the vector equation of the line passing through the point A(1, 2,...

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  5. If A is a skew-symmetric matrix of order 3, then prove that det A = 0...

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  6. Prove that if E and F are independent events, then so are the events E...

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  7. A small firm manufactures necklaces and bracelets. The total number of...

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  8. int1/(x^2-4x+8)dx

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

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  10. Using properties of determinants, prove the following |[x,x+y,x+2y],[x...

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  11. Find the value of c in Rolle’s theorem for the function f(x) = x^3– 3...

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  12. Differentiate the function (sin x)^x+ sin^(-1) sqrtx with respect to...

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  13. The volume of a cube is increasing at the rate of 9cm3/sec. How fas...

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  14. Evaluate: int(2x)/((x^2+1)(x^2+2))dx

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  15. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  16. Prove that x^2-y^2=c(x^2+y^2)^2 is the general solution of diffe...

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  17. Show that the function f(x) = x^3– 3x^2 + 6x – 100 is increasing on R

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  18. The x-coordinates of a point on t line joining the points Q(2,2,1)a...

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  19. The random variable X can the values 0, 1, 2, 3, Give P(X = 0) = P(X =...

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  20. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...

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