MATH 2023 Final Exam Page ? of s osts 2 . 12. Evaluate the line integral F - dr for F - (x] - v)i + 2y] and C the curve given by r(!) - if + 21"] with 13. Let F = 3x2yi + (x3 + 2yz)j + y?k. (a) Show that F is conservative. (b) Find a potential function for F. (c) Use the Fundamental Theorem of Line Integrals to evaluate / F . dr where C is a smooth c (2, 1, 3) to (-1, 4, 1)