The differential of
![w = x \sin(2yz^4)](https://tex.z-dn.net/?f=w%20%3D%20x%20%5Csin%282yz%5E4%29)
is
![\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz](https://tex.z-dn.net/?f=%5Cmathrm%20dw%20%3D%20%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20x%7D%5C%2C%5Cmathrm%20dx%20%2B%20%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20y%7D%5C%2C%5Cmathrm%20dy%20%2B%20%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20z%7D%5C%2C%5Cmathrm%20dz)
where the partial derivatives are
![\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20x%7D%20%3D%20%5Csin%282yz%5E4%29%20%5C%5C%5C%5C%20%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20y%7D%20%3D%20x%20%5Ccos%282yz%5E4%29%20%5Ctimes%202z%5E4%20%3D%202xz%5E4%20%5Ccos%282yz%5E4%29%20%5C%5C%5C%5C%20%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20z%7D%20%3D%20x%20%5Ccos%282yz%5E4%29%20%5Ctimes%208yz%5E3%20%3D%208xyz%5E3%20%5Ccos%282yz%5E4%29)
So the differential d<em>w</em> is
![\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz](https://tex.z-dn.net/?f=%5Cmathrm%20dw%20%3D%20%5Cboxed%7B%5Csin%282yz%5E4%29%7D%5C%2C%5Cmathrm%20dx%20%2B%20%5Cboxed%7B2xz%5E4%20%5Ccos%282yz%5E4%29%7D%5C%2C%5Cmathrm%20dy%20%2B%20%5Cboxed%7B8xyz%5E3%20%5Ccos%282yz%5E4%29%7D%5C%2C%5Cmathrm%20dz)
Answer: 305.9m
Area of a Triangle is 1/2 base X height
So (b)(h) = 2.1m X 19m=39.9m (210 cm = 2.1 m)
Now that we have the base which is 39.9m
We do the sides which is 1/2*28*19=266m
Now that we have the sides, we add the base which is 39.9m and the Height which is 266m, then we get our answer: 305.9m
I hope this helped you. Goodluck, and please give me a Branliest if available. Thanks. :)
Use desmos! type problem in and it will pop up for you
Answer:
divide the price by 6.
whatever you get multiply by 4! :)
Step-by-step explanation:
Well since they are both decimals then they are technically equal event though the tenth one is bigger they are equal