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If the equation a x^2+b x+c=0 has two po...

If the equation `a x^2+b x+c=0` has two positive and real roots, then prove that the equation `a x^2+(b+6a)x+(c+3b)=0` has at least one positive real root.

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  5. Let P(x) be a polynomial with real coefficients such that P(sin^2x)=P(...

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  6. Show that the cone of the greatest volume which can be inscribed in a ...

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  7. If the curve y=a x^2-6x+b pass through (0,2) and has its tangent paral...

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  8. Find the point at which the slope of the tangent of the function f(x)=...

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