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Find the interval in which the function `f(x) = 3x^4- 4x^3- 12x^2+ 5` is strictly increasing.

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SHARAM PUBLICATION-MODEL QUESTION PAPER -16-EXERCISE
  1. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

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  2. Find (dy)/(dx) when y=x^(siny)

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  3. Find the interval in which the function f(x) = 3x^4- 4x^3- 12x^2+ 5 is...

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  4. Find two numbers whose sum is 24 and product is maximum.

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  5. Integrate: intx(e^x)/((1+x)^2)dx

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  6. Integrate :inttan^-1x/(1+x^2)dx

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  7. Evaluate int0^(pi/2)(sqrt(cosx))/(sqrt(sinx)+sqrt(cosx))dx

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  8. Find the area bounded by the line y = 2x, x- axis and the ordinate x =...

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  9. Solve 2y^3(dy)/(dx)=ax

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  10. Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj...

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  11. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

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  12. Write the volume of the parallelopiped whose sides are given by-hatj, ...

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  13. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

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  14. Find the equation of the plane passing through the intersection of the...

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  15. Prove that (veca.vecb)^2=a^2b^2-(veca xx vecb)^2

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  16. Show that the lines (x-4)/1=(y+3)/-4=(z+1)/7 and (x-1)/2=(y+1)/-3=(z+1...

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  17. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

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  18. Find the altitude of a right circular cylinder of maximum volume inscr...

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  19. Evaluate the following integrals int(12sinx-2cosx+3)/(sinx+cosx)dx

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  20. Determine the area common to the parabola y^2=x and the circle x^2+y^2...

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