Find ∬SF⋅dS, where F(x, y,z)=xi+yj+zk and S is the outwardly oriented surface obtained by removing cube [1,2]×[1,2]×[1,2] from cube [0,2]×[0,2]×[0,2].

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

(3x-8) or (3x+8)

step-by-step explanation:

mrbilldoesmath!

answer: a parabola

steps:

(x-1)(x+4)   = x(x+4) - 1(x+4) = (x^2 + 4x) - (x+4)

                = x^2 +4x -x -4   = x^2 +3x -4

which is a parabola

mrb