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In: Computer Science

Consider the parametric equations x = (t2 − 5) /(t2 + 1) , y = (t3 − 7t + 1) / (t2 + 1)

IN MATLAB

Consider the parametric equations x = (t2 − 5) /(t2 + 1) , y = (t3 − 7t + 1) / (t2 + 1)

(a) Plot the curve for −8 ≤ t ≤ 8.

(b) Determine the points on the graph where the slope of the tangent line is 2.

(c) Determine the points on the graph where the graph has a horizontal tangent.


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