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Show that , the difference between the maximum and minimum values of the function `x^(3)-27x+108` is 108.

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CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Short Answer Type Questions
  1. If (x)/(2)+(y)/(3)=1 , find the minimum value of x^(2)+y^(2).

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  2. If 2x+3y=4 , find the maximum or minimum value of xy.

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  3. Show that , the difference between the maximum and minimum values of ...

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  4. Find the critical points of each of the following functions : sin2...

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  5. Find the critical points of each of the following functions : y=e^(...

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  6. Find the critical points of each of the following functions : f(x)=...

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  7. The perimeter of a rectangle is 100 cm. If the area of the rectangle ...

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  8. Show that , of all rectangles of given permeter , the square has the g...

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  9. Prove that , of all rectangles of given area , the square has the leas...

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  10. Find the dimensions of the rectangle of maximum perimeter that can be ...

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  11. The perimeter of a triangle is 8 cm .If one of the sides is 3 cm , fin...

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  12. A printed page is to contain 96cm^(2) of printed area , a margin of 1....

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  13. The height of a particle projected with velocity u at an angle alpha ...

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  14. What will be the radius of the base of a solid circular cylinder of vo...

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  15. The function f(x)=4x^(3)+ax^(2)+bx+2 has an extremum at (2,-2) , find...

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  16. The cost c of manufacturing a certain article is given by the formula...

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  17. Determine when will the function sin3x-3sinx will be greatest or least...

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  18. Obtain the maximum and minimum values of the function cos^(2)x+cosx+3 ...

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  19. Find the maximum and minimum values of : 3cosx+4sinx

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  20. Find the maximum and minimum values of : cos^(2)x-cosx(0lexle(pi)...

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