Suppose ?? (?,?)=???? +??? and ? is the line segment from point?=(2,0) to ?=(0,3).
(a) Find a vector parametric equation ?? (?) for the linesegment ? so that points ? and ? correspond to ?=0 and ?=1,respectively. ?? (?)=
(b) Using the parametrization in part (a), the line integral of?? along ? is ???? ???? =????? (?? (?))??? ?(?)??=??? ?? withlimits of integration ?= and ?=
(c) Evaluate the line integral in part (b).
(d) What is the line integral of ?? around theclockwise-oriented triangle with corners at the origin, ?, and ??Hint: Sketch the vector field and the triangle.
