Answer:
![\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%202x%5Cfrac%7Bdx%7D%7Bdt%7D-3y%5E2%5Cfrac%7Bdy%7D%7Bdt%7D%2B4z%5E3%5Cfrac%7Bdz%7D%7Bdt%7D%3D0)
Step-by-step explanation:
We want to differentiate the equation:
![x^2-y^3+z^4=1](https://tex.z-dn.net/?f=x%5E2-y%5E3%2Bz%5E4%3D1)
With respect to <em>t</em>, where <em>x, y, </em>and <em>z</em> are functions of <em>t. </em>
<em />
So:
![\displaystyle \frac{d}{dt}\left[x^2-y^3+z^4\right]=\frac{d}{dt}\left[1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bx%5E2-y%5E3%2Bz%5E4%5Cright%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5B1%5Cright%5D)
Implicitly differentiate on the left. On the right, the derivative of a constant is simply zero. Hence:
![\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%202x%5Cfrac%7Bdx%7D%7Bdt%7D-3y%5E2%5Cfrac%7Bdy%7D%7Bdt%7D%2B4z%5E3%5Cfrac%7Bdz%7D%7Bdt%7D%3D0)
Answer:
D
Step-by-step explanation:
It makes sense, the others don't.
The x coordinate is the temperature, and the y coordinate is the number of cups sold.
Hope this helped! :)
Answer:
See image
Step-by-step explanation:
The valence electrons (outer shell electrons) get shared between the first and second element in the compound the purpose is for both the elements to get to the stable state by having the outer shell filled up to 8 electrons. See image.
Rx + h = sx - k
rx - sx = -k -h
x ( r -s ) = -k -h
x = -k -h / r -s Ans
Answer:
They need five weeks to make all their travels.
Step-by-step explanation:
Given that Cesar and Jocelyn are planning their trips to three countries next year.
One trip will be one week long, another two days, and the other two weeks.
In conclusion, they need five weeks to make this travel.