8821 - 3256 = 5565....amount made between 8 a.m. and noon
8 a.m. to 12: a.m. = 4 hrs
5565 / 4 = 1391.25 <=== what they took in each hr between 8 and noon
Answer:
![\frac{\partial w}{\partial t} = y(e^t) +(x+z)*(cos(t)) - 3y*sin(3t)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20t%7D%20%20%3D%20y%28e%5Et%29%20%2B%28x%2Bz%29%2A%28cos%28t%29%29%20%20-%203y%2Asin%283t%29)
Step-by-step explanation:
First, note that
![\frac{\partial x}{\partial t} = e^{t} \\\frac{\partial y}{\partial t} = cos(t)\\](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20x%7D%7B%5Cpartial%20t%7D%20%20%3D%20e%5E%7Bt%7D%20%5C%5C%5Cfrac%7B%5Cpartial%20y%7D%7B%5Cpartial%20t%7D%20%20%3D%20cos%28t%29%5C%5C)
And using the chain rule in one variable
![\frac{\partial z}{\partial t} = -3sin(3t)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20t%7D%20%20%3D%20-3sin%283t%29)
Now remember that the chain rule in several variables sates that
![\frac{\partial w}{\partial t} = \frac{\partial w}{\partial x} * \frac{\partial x}{\partial t} + \frac{\partial w}{\partial y} * \frac{\partial y}{\partial t} + \frac{\partial w}{\partial z} * \frac{\partial z}{\partial t}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20t%7D%20%20%3D%20%5Cfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20x%7D%20%2A%20%5Cfrac%7B%5Cpartial%20x%7D%7B%5Cpartial%20t%7D%20%2B%20%5Cfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20y%7D%20%2A%20%5Cfrac%7B%5Cpartial%20y%7D%7B%5Cpartial%20t%7D%20%2B%20%5Cfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20z%7D%20%2A%20%5Cfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20t%7D)
Therefore the chain rule in several variables would look like this.
![\frac{\partial w}{\partial t} = y(e^t) +(x+z)*(cos(t)) - 3y*sin(3t)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20t%7D%20%20%3D%20y%28e%5Et%29%20%2B%28x%2Bz%29%2A%28cos%28t%29%29%20%20-%203y%2Asin%283t%29)
Answer:
6/10
Step-by-step explanation:
So I think you’re looking for an outlier not an outliner. An outlier is a piece of data that doesn’t match the trend, like the misfit that doesn’t fit with the rest. For example if I had measurements of 1,2,4,84,3 then 84 would be the outlier. Hope this helps!