Question: 3 . Consider a curve define parametrically as x(t) = 3 - t-1 and y(t) = 2t + t-1 a. Write the equation of the

3 . Consider a curve define parametrically as x(t) = 3

3 . Consider a curve define parametrically as x(t) = 3 - t-1 and y(t) = 2t + t-1 a. Write the equation of the curve in non-parametric form (i.e. eliminate t between the two equations.) b. Find dy/dx in terms of t using parametric differentiation. C. Find day/ dx2 in terms of t using parametric differentiation. d. Find the equation of the tangent line to the curve when t = 1. [4 + 5+4+3 marks]

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