Question

x=2−t, y=2t+1; −1≤t≤1 (a) Sketch the parametrized curve using any method, but you must explain your...

x=2−t, y=2t+1; −1≤t≤1

(a) Sketch the parametrized curve using any method, but you must explain your thinking in clear sentences, or show mathematical work. Pay attention to the given domain. (b) Choose one of (i) or (ii) below – only one will be graded. i. Set up and solve an integral for the arc length of this curve OR ii. Calculate the equation of the tangent line to this curve at some point (tell the reader which point you chose!) using methods of 7.2

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