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If y=a log x +bx^(2)+x has its exteme va...

If `y=a log x +bx^(2)+x` has its exteme values at x=-1 and x=2, then find a and b.

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A DAS GUPTA-Maxima and Minima-EXERCISE
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  2. Let f(x) = x ^3 - 12x. Prove that the equation x^3 - 12x - k = 0 has a...

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  3. If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then fin...

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  4. If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value ...

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  5. Find the shortest distance of the point (0, c) from the parabola y=x^...

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  6. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  7. Given an interior point A on the axis of the parabola y ^2 = 2px, (p >...

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  8. Find the coordinates of the point on the curve y=x/(1+x^2) where the t...

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  9. The parametric equations of the curve are x=2t(t^2+3)-3t^2, y=2t(t^2+3...

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  10. A function is defined parametrically as follows :x=t^5-5t^3-20 t+7y=4t...

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  11. Let (h , k) be a fixed point, where h >0,k > 0. A straight line passin...

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  12. A 12-cm-long wire is bent to form a triangle with one of the angles as...

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  13. The largest area of a rectangle which has one side on the x-axis and t...

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  14. Three sides of a trapezium are each equal to k cm. Find the greatest p...

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  19. Find the point (alpha,)beta on the ellipse 4x^2+3y^2=12 , in the first...

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