Find a function f such that f = ? f. if the vector field is not conservative, enter none. f(x, y, z) = ycos(xy) i + xcos(xy) j - 3sin(z) k

Following are the calculation to the given function:

Function:  

The object is to find a function such that .  

That is,  

.

Then,  

Differentiate on both sides with respect to y partially.

Then,

Use

Integrate on both sides with respect to y.

Plug

Differentiate on both sides with respect to z partially.  

Plug

Integrate with respect to z.  

Here, E is the integration constant.  

Plug

Therefore, the desired function is, " "

Learn more:

link

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

what? that isnt a question

step-by-step explanation: