Consider the given vector field. f(x, y, z) = 8xyezi + yzexk (a) find the curl of the vector field. curl f = $$zexi+(8xyez−yzex)j−8xezk correct: your answer is correct. (b) find the divergence of the vector field. div f = $$8yez+yex correct: your answer is correct.

(a)

(b)

Step-by-step explanation:

We are given a vector function f(x,y,z) as:

where,

(a)

Hence, the curl f is calculated as:

Hence, we have:

Hence,

Hence,

(b)

Divergence f is calculated as:

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

42.4

step-by-step explanation:

convert to decimal