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Discuss the extremum of f(x)=sinx+1/2sin...

Discuss the extremum of `f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Discuss the extremum of f(x)=1+2sinx+3 cos^2x ,0lt=xlt=(2pi)/3

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  2. x and y are the sides of two squares such that y=x-x^2 Find the rate o...

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  3. Discuss the extremum of f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot

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  4. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

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  5. How many roots of the equation 3x^(4) + 6x^(3) + x^(2) + 6x + 3 = 0 ar...

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  6. Two cyclists start from the junction of two perpendicular roads, there...

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  7. Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and ...

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  8. Tangent of an angle increases four times as the angle itself. At what ...

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  9. Discuss the extremum of f(x)=1/3(x+1/x)

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  10. Let g(x)=f(x)+f(1-x) and f''(x)>0AAx in (0,1)dot Find the intervals of...

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  11. Discuss the extremum of f(x)=x(x^2-4)^(-1/3)

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  12. A hours runs along a circle with a speed of 20 km/hr. A lantern is at ...

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  13. A running track of 440 ft is to be laid out enclosing a football field...

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  14. Let x be the length of one of the equal sides of an isosceles triangle...

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  15. The lengths of the medians through acute angles of a right-angled tr...

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  16. If water is poured into an inverted hollow cone whose semi-vertical ...

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  17. A point on the hypotenuse of a triangle is at distance a and b from ...

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  18. If f:[-5,5]vecR is differentiable function and iff^(prime)(x) does not...

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  19. Rectangles are inscribed inside a semi-circle of radius rdot Find the ...

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  20. Discuss the applicability of Rolles theorem for the following functi...

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