both A-B please

On his way to campus, Jim decides to pick up a dozen donuts, some of which he hopes will survive the trip from the donut shop to his office. Since Jim plans to to make the same trip again (and again), he wants to figure out where he should park as to minimize the distance he must walk from his car to the donut shop. A diagram is shown below of the image below. the road and the donut shop, which is located at (2, 4). Two points on the road, (0, 1) and (4, 3), are also shown on 51 Donut shop 3 (2, 4) 2 (43) Road (0, 1) -2 -1 1 2 3 Jim can park anywhere on the road that he would like. To minimize the distance he has to walk, Jim needs to find the shortest distance from the road, which is modeled by a line, to the point where the donut shop is located. He decides to perform this computation as follows. A. [3 pts] Show that the vector-valued function & (t) = (4t, 2t + 1) parameterizes the line in the above figure. B. [3 pts] Suppose that Jim decides to park his car at the point (4,3) on the road. i. [1 pt] On the figure below, sketch a vector that begins at (4, 3) and ends at the donut shop. ii. [2 pts] Explain why (4, 3) is not the point on the line that is closest to the donut shop. Hint: Draw a certain triangle on the image, where the vector you sketched is directed along one of the sides. 5 Donut shop (2, 4) 2 (4, 3) Road (0, 1 -2 -1 2 3 4 5 10