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Find the value of `a` in order that `f(x)=sqrt(3)sinx-cosx-2a x+b` decreases for all real values of `xdot`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decr...

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  2. The angle of intersection between the curves y=[|sinx|+|cosx|]andx^2+y...

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  3. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

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  4. Show that curves ax^2+by^2=1 and cx^2+dy^2=1 intersect orthogonally if...

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  5. Discuss the monotonocity of function f(x)=2log|x-1|-x^2+2x+3.

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  6. If the area of the triangle included between the axes and any tangent ...

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  7. Separate the intervals of monotonocity for the function f(x)=3cos^4x+1...

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  8. If the tangent at (x1,y1) to the curve x^3+y^3=a^3 meets the curve aga...

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  9. Separate the intervals of monotonocity for the function f(x)=3cos^4x+1...

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  10. Show that the segment of the tangent to the curve y=a/2I n((a+sqrt(a^2...

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  11. Separate the intervals of monotonocity for the function f(x)=((log)e x...

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  12. Prove that the equation of the normal to x^(2/3)+y^(2/3)=a^(2/3) is yc...

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  13. Discuss monotonocity of f(x)=x/(sinx)a n d g(x)=x/(tanx),where (xlt=1...

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  14. Prove that the curves y=f(x),[f(x)>0],a n dy=f(x)sinx ,w h e r ef(x) i...

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  15. Discuss the extremum of f(x)={x^2+x^-2}

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  16. Tangents are drawn from the origin to curve y=sinxdot Prove that point...

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  17. Write the maximum value of f(x)=x^(1//x) .

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  19. Determine the local maxima and local minima of f(x)=x^3-6x^2+12x-8 is

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  20. Show that the angle between the tangent at any point P and the line jo...

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