Question: A curve is given by x = 2t + 3, y = t 3 4t, where t is a parameter. The point A has

A curve is given by x = 2t + 3, y = t3 − 4t, where t is a parameter. The point A has parameter t = −1 and the line l is the tangent to C at A. The line l also cuts the curve at B.

a. Show that an equation for l is 2y + x = 7.

b. Find the value of t at B.

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