Conider the vector field ⃑(,, ) = ⟨^ − 40,^3 − 40, ec^2(5) − 40 ⟩. A. Show that F i conervative without determining a potential function. B. Determine a potential function f for F. C. Sketch the cone = 2/3 and the phere p =1. Parametrize the curve of interection C of thee two urface, and ue it to et up and evaluate the line integral of F along C. D. How could you have predicted the reult of part c without actually evaluating a line integral?
