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:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0