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Find the absolute maximum value and the absolute minimum value of the functions in the given intervals:
f(x) = 4x `-(1)/(2) x^(2) , x in [-2,(9)/(2)]`

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The correct Answer is:
Absolute minimum value = – 10, absolute maximum value = 8
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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.5
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  8. What is the maximum value of the function s in" "x" "+" "cos" "x ?

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  9. Find the maximum value of 2x^3-24 x+107in the interval [1, 3]. Find t...

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  10. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

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  11. Find the maximum and minimum values of the function f(x) = x+ sin 2x, ...

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  12. Find two numbers whose sum is 24 and whose product is as large as p...

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  13. Find two positive numbers x and y such that x+y=60 and x y^3 is max...

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  14. Find two positive numbers x and y such that their sum is 35 and the ...

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  15. Find two positive numbers whose sum is 16 and the sum of whose cube...

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  16. A square piece of tin of side 18 cm is to be made into a box withou...

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  17. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box ...

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  18. Show that of all the rectangles inscribed in a given fixed circle, ...

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  19. Show that the right circular cylinder of given surface and maximum ...

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  20. Of all the closed cylindrical cans (right circular), of a given vol...

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