16.2 Homework - Line Integrals (Homework)

6. [-/1 Points] DETAILS SCALCET9 16.2.016. Evaluate the line integral, where C is the given space curve. [ y dx + z dy + xdz, C: x = \\t, y=t, z= th, ists 16 Need Help? Read It8. [-/1 Points] DETAILS SCALCET9 16.2.023.EP. Consider the line integral / F . dr, where C is given by the vector function r(t). F(x, y, z) = sin(x) i + cos(y) j + xzk r(t ) = ti -t'j+th, osts1 Find the following functions. F(r(t)) = r '(t) = F(r(t) ) . r'(t) = Evaluate the line integral. Need Help? Read ItMY 10. [-/1 Points] DETAILS SCALCET9 16.2.035. A thin wire is bent into the shape of a semicircle x + y = 25, x 2 0. If the linear density is a constant k, find the mass and center of mass of the wire. mass center of mass (x , y) = Need Help? Read It Watch It