Calculus 2 Quiz
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PARAMETRIC, POLAR & VECTOR FUNCTIONS
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Consider the parametric curve x=acos⁡3(t)x = a\cos^3(t) and y=asin⁡3(t)y = a\sin^3(t) where a>0a > 0. If the length of the curve from t=0t = 0 to t=π2t = \frac{\pi}{2} is 3a2\frac{3a}{2}, what is the slope of the curve at t=π4t = \frac{\pi}{4}?
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