01:640:251 Lecture Notes - Lecture 6: Ezrin

3. O -11 points LarsonE T5 15.6.013 Evaluate f(x, y) ds. f(x, y) = y + 4 s: r(u, v) = ui + vj + 3vk, o us!, osvs2 N eed Help?Read ItTalk to a Tuter Submit Answerl Save Progress Practice Another Version 4. 01 points | Previous Answers LarsonET5 15 6.014 Evaluate fx, y) ds f(x, y) =xy s: r(u, v)- 8 cos u i + 8 sin uj + vk 2

Consider F and C below. F(x, y, z)-?? i + xz j + (xy + 82) k C is the line segment from (1, 0, -1) to (5, 5, 3) (a) Find a function f such that F- Vf. fx, y, z)- (b) Use part (a) to evaluate Vf- dr along the given curve C

- points SalcC4 13.2.019.MI Evaluate the line integral fc F. dr, where C is given by the vector function r(t) F(x, y) = xy i + 3 r(t) = 14fi + t"j 0 sts 1