Answer:
≈3.99938
Step-by-step explanation:
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: FALSE
Step-by-step explanation:
An Irrational number is a decimal t hat is non repeating while a rational number is s repeating decimal.
Answer:
<u>In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse. </u>
<u>The abbreviation is sin. sin θ = opposite / hypotenuse.</u><u>2 cosA sinB = sin(A + B) − sin(A − B) 2 cosA cosB = cos(A + B) + cos(A − B) 2 sinA sinB = cos(A − B) − cos(A + B)</u>
Step-by-step explanation:
hi sushant
for another definition:-
Shina (word), or Sina (Japanese: 支那) means archaic Japanese word for China.
60% = 0.60
Let x = total games played.
12 = 0.60x. Divide each side by 0.60.
20 = x.
The Hawks have played 20 total games this season