Draw the following curve in R2 and write a vector function which describes the curve. Include...
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Draw the following curve in R2 and write a vector function which describes the curve. Include the domain fort, and indicate the direction of motion on the drawing. (a) The line segment from (4, 1) to (2, -4) (b) The part of y = 4 - x2 from (-1, 3) to (2, 0) (c) The part of x2 + y2 = 4 from (2, 0) to (0, -2), moving counter-clockwise (d) The boundary of the top half of the unit disk, moving counter-clockwise around. (Hint: You will need two vector functions.) Draw the following curve in R2 and write a vector function which describes the curve. Include the domain fort, and indicate the direction of motion on the drawing. (a) The line segment from (4, 1) to (2, -4) (b) The part of y = 4 - x2 from (-1, 3) to (2, 0) (c) The part of x2 + y2 = 4 from (2, 0) to (0, -2), moving counter-clockwise (d) The boundary of the top half of the unit disk, moving counter-clockwise around. (Hint: You will need two vector functions.)
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