Answer:
∇ × F = [xsin(xy)+xsin(xz)]i - ysin(xy)j - zsin(xz)k
Step-by-step explanation:
Given the vector field,
f(x, y, z) = cos(xz)j − cos(xy)k
Curl is represented as ∇×
Curl of the field F given will be expressed as ∇ × F
The symbol ∇ known as nabla is a 3-dimensional vector expressed as
∇ = (δ/δx)i + (δ/δy)j + (δ/δz)k
∇ × F = {(δ/δx)i + (δ/δy)j + (δ/δz)k}× 0i + cos(xz)j − cos(xy)k
Curl of the function can be gotten by finding the cross product as shown in the attachment.
The rest of the question;
<span>A.y=

B.y=
![\sqrt[3]{ x^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20x%5E%7B2%7D%20%7D%20)
C.y=

D.y=
![\sqrt[3]{x-2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx-2%7D%20)
====================================================
</span>
We are given the function
y = 2 √x
The domain for the given function is this
{ x | x ≥ 0 }
The answer is A. y = √2x
In general any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x
Set it up as an equation. So 48-x=4x-7. 48=5x-7. 55=5x and x =11.
4 fluid ounces, because 64/6 is 10 with 4 left over, so the 4 is the fluid ounces. So the answer is, Sharon will drink 4 fluid ounces of juice.
You just add the number together