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Show that the tangent to the curve y=x^2...

Show that the tangent to the curve `y=x^2+3x-2` at (1,2) is parallel to tangent at (-1,1) to the curve `y=x^3+2x`.

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-PROBLEM
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  2. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

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  3. Find the extreme values of y = cos x(1+sin x), x in [0,2pi]

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  5. Prove that y=mx+c touches the parabola y^2 = 4ax if a=mc.

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  7. Find the intervals where the following functions are (a) increasing an...

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  14. Show that the equation of the normal to x^(2/3) + y^(2/3) = a^(2/3)is ...

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