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06-06-2016
Mathematics

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Find the slope of the curve r=cos(2theta) at theta=pi/6.

Respuesta :

06-06-2016

the slope is defined as the first derivative of the equation so ,
d(r)/d(theta) = -2 sin(2theta)
and by substitue by theta = pi/2
we get slope = -2 sin(2*(pi/6))
slope = -√3

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