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Do the following, given the vector function r(t) = (4-t)i + t j for t 0. (a) Find r(1) and r' (1). (b) Express

Do the following, given the vector function r(t) = (4-t)i + t j for t 0. (a) Find r(1) and r' (1). (b) Express this function in Cartesian form (eliminate the parameter). (c) Sketch the curve which is the graph of r(t), showing the direction of travel as t increases. Also graph r(1) and r'(1).

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