MATH 1ZB3 Lecture 6: complex-lecture6.3

3. Find the average value of the function f(z, y, 2) as c(t) = (cost, sint, t), o t 2m. 2y2+22 on the curve C parameterized

Let f(x, y, z) = x + yz, and let C be the line segment from P = (0, 0, 0) to (22, 18, 18). Evaluate f(x, y, z) ds with the parametrization r(t) = (11t2 9t2, 9t2) for 0 t V2

-(2, t, 4-tay from t = 2 to t = 0, Let F 3. Let C1 be the path described by the equation r(t) be the vector field defined by the equation F = 〈xyz, z +y, 3y-22). Evaluate the following line integral. Show all work. F.dr JC