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The sum of two numbers is 20 . If the pr...

The sum of two numbers is 20 . If the product of the square of one number and cube of the other is maximum , then the numbers are

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8, 12
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AAKASH SERIES-MAXIMA AND MINIMA -Advanced Subjective Type Questions
  1. If the sum fo two positive numbers is 20 then show that the maximum va...

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  2. If the sum of two positive numbers is 48 then find the two numbers who...

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  3. The sum of two numbers is 20 . If the product of the square of one num...

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  4. A quadratic function in x has the value 9 when x = 1 and has a maximum...

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  5. If y = a log|x| + bx^(2) + x has extreme values at x = 2 and x = -4/3 ...

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  6. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

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  7. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

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  8. Find the triangle of the greatest area among the right triangles of a ...

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  9. The sum of the hypotenuse and one side of a right angled triangle is g...

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  10. Two sides of a triangle is given. If the area of a triangle is maximum...

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  11. If the perimeter of a rectangle is contant, then show that the rectang...

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  12. If the area of a rectangle is contant, then show that the rectangle be...

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  13. Find the area of greatest rectangle that can be inscribed in (x^(2))/(...

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  14. Find the maximum area of an isosceles triangle inscribed in the ellips...

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  15. If the perimeter of a sector of a circle is 'c' cm then show that its ...

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  16. If the perimeter of a sector of a circle is constant then find the ang...

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  17. The sum of the surfaces of a sphere and a cube is given. Show that whe...

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  18. Show that a closed cylinder of a given volume will have its least surf...

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  19. Show that a conical tent of given capacity will require the least amou...

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  20. The equation of the normal to the curve x^(2)=4y at (1,2) is

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