Module 5: Parametric Curves and Line Integrals (Chapter 16, 16.116.4) (6 points) Math Prompt (include a PDF or image) (a) Find the parametrization of two different curves from the point (2,4) to (4,16). (b) Compute the work done by the vector field I7 = (ny, x2 + 2) when moving an object over the two curves found in part (a). (c) Give an example of a curve from (2,4) to (4,16) that would give a different numerical value for the work done over the same vector field as in part (b) above, if possible. If it is not possible to nd a curve that gives a different numerical value for the work done, explain why. (3 points) Writing Prompt: (typed, 100-200 words) Let E be a conservative vector field and C be a closed curve. Explain why the line integral over C is 0 two ways: using both the Fundamental Theorem of Line Integrals and using Green's Theorem