Exercise 6.7(1,2,3,4)

Calculus 3 (Stokes' Theorem)

Question 4 0/1 pt 9 100 99 @ Details Let F = . Use Stokes' Theorem to evaluate F . dr, where C is the triangle with vertices (4,0,0), (0,4,0), and (0,0,4), oriented counterclockwise as viewed from above.Question 1 0/1 pt ) 100 99 0 Details Let F = . Use Stokes' Theorem to evaluate curlF . dS, where S is the part of the paraboloid z = 9 - x2 - y that lies above the plane z = 5, oriented upwards. Question Help: Video Question 2 0/1 pt 100 99 8 Details Let F = . Use Stokes' Theorem to evaluate curlF . dS, where S is the hemisphere x2 + y2 + 22 = 16, > > 0, oriented upwards. Question Help: DVideo Question 3 0/1 pt ' 100 99 0 Details Let F = . Use Stokes' Theorem to evaluate J curlF . dS, where S consists of the top and the four sides (but not the bottom) of the cube with one corner at (-4,-4,-4) and the diagonal corner at (1, 1, 1). Hint: Use the fact that if S1 and S2 share the same boundary curve C that curIF . as = F . ar = / curlF . as