For this case we have the following expression:

By definition we have to:

So:

Simplifying:

By definition of power properties we have to:

So, rewriting the expression we have:

SImplifying:

Answer:

The flux of the given function f = x³i + y³j + z³k is given by f',
f' = 3(x²i + y²j + z²k)
Given, f = x³i + y³j + z³k
we have to find the flux of the given function f = x³i + y³j + z³k
On partial differentiating the function, we get
f' = 3x²i + 3y²j + 3z²k
f' = 3(x²i + y²j + z²k)
So, the flux of the given function f = x³i + y³j + z³k is given by f',
f' = 3(x²i + y²j + z²k)
Hence, the flux of the given function f = x³i + y³j + z³k is given by f',
f' = 3(x²i + y²j + z²k)
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A= (-4,2)
The x value (-4) stays the same when reflected over the x-axis, so only the y-value gets reflected and therefore changed.
The resultant coordinate is (-4,2)
Firstly we need to realize that "sea level" is the same as "surface of the ocean" and 0.
It means that Trina the scuba-diver is closer to the surface of the ocean than Jessie the glider because Trina is 85,5 meters from 0 level and Jessie is 87,9 meters from 0 level.
Now if Trina will hang glide at the altitude of 85,5, than she will <em>not </em>fly higher than Jessie (she will fly lower by 87,9 - 85,5 = 2,4 meters).
The answer is 160° . The parallel angles are 180° - 20° is 160° . Hope this helps. :)