The velocity vector field for a fluid flowing in double-struck R3 is given by v = xz, −yz, y m/s. Let S be the oriented surface that is the portion of the plane x + y + z = 4 in the first octant with upward orientation n. Compute the amount of fluid crossing S per second in the direction of n.

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

24+x=y

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

answer: $1794

step-by-step explanation: