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Find the absolute maximum and absolute minimum values of f on the given interval. f(x)=sin x+ cos x, [0, pi//3]`

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The correct Answer is:
The values 1, `sqrt2` and `(sqrt3+1)/(2)` , the absolute maximum is `sqrt2` and the absolute minimum is 1
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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
  1. f(x)=x^(3)-12x+1, [-3, 5]

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  2. f(x)=(x)/(x+1), [1,2]

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  3. Find the absolute maximum and absolute minimum values of f on the give...

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  4. f(x)=x-2 cos x, [-pi, pi]

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  5. Find the local maximum and minimum values of the following functions ...

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  6. Find the local maximum and minimum values of the following functions ...

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  7. Find the slope at x=2 for y=x^(4)-4x^(3)

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  8. Find the slope at x=2 f(x)=2x^(3)+5x^(2)-4x

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  9. f(x)=x^(4)-6x^(2) find f'(x).

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  10. f(theta) =sin 2 theta in (0, pi)

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  11. y=12x^(2)-2x^(3)-x^(4)

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  12. The top and bottom margins of a poster are each 6 cms and the side mar...

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  13. Show that the volume of the largest right circular cone that can be i...

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  14. A closed box (cuboid) with a square base is to have a volume 2000c.c, ...

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  15. Find the numbers whose sum is 100 and whose product is maximum.

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  16. Find two positive numbers whose product is 100 and whose sum is minimu...

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  17. The gradient of the curve y=-2x^(3)+3x+5 at x=2 is ………..

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  18. The rate of change of area A of a circle of radius r is ………….

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  19. A spherical snowball is melting in such a way that its volume is decre...

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  20. The parametric equations of the curve x^(2//3)+y^(2//3)=a^(2//3) are …...

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