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Find the shortest distance between the line `y=x-2` and the parabola `y=x^2+3x+2.`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

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  3. Find the shortest distance between the line y=x-2 and the parabola y=x...

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  4. f(x)={cos((pix)/2),x >0, x+a ,xlt=0 Find the values of ...

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  5. If 1^0=alpha radians, then find the approximate value of cos60^0 1^(pr...

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  6. If f(x)={{:(x^2,xlt=0) , (2sinx ,x >0):}' .Investigate the function at...

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  7. If in a triangle ABC, the side c and the angle C remain constant while...

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  8. If the function y=f(x) is represented as x=phi(t)=t^5-5t^3-20 t+7, ...

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  9. Find the approximate value of(0. 0037)^(1/2) .

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  10. Find the range fo the function f(x)=(x^(2)-x-6)/(x-3)

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  11. Find the approximate value of (26)^(1/3) .

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  12. Discuss the extremum of f(x)=asecx+bcos e cx ,0ltaltb

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  13. Find the approximate change in the volume V of a cube of side x meters...

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  14. Discuss the extrema of f(x)=x/(1+xtanx),x in (0,pi/2)

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  15. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

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  16. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

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  17. In a triangle ABC if the sides a, b be constant and the base angles A ...

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  18. If t is a real number satisfying the equation 2t^3-9t^2+30-a=0, then f...

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  19. Find the approximate value of f(3. 02), where f(x)=3x^2+5x+3.

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  20. Prove that there exist exactly two non-similar isosceles triangles A B...

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