Help us out please I need this answer right answer too.
Answer:
It increased by 12°F between the noon and evening
Step-by-step explanation:
Answer:
The inner function is
.
The outer function is
.
![\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20y%5E%7B%5Cprime%7D%20%3D%20%5Csec%5E%7B2%7D%28u%29%2A%5Cpi%20%3D%20%5Cpi%5Csec%5E%7B2%7D%7B%5Cpi%20x%7D)
Step-by-step explanation:
The inner function is the one we apply the outer function to.
So
![y = \tan{\pi x}](https://tex.z-dn.net/?f=y%20%3D%20%5Ctan%7B%5Cpi%20x%7D)
We apply the outer function tangent to
.
So, the inner function is
.
The outer function is
.
The derivative of a compositve function
in which
is given by the following function.
![y^{\prime} = f^{\prime}(u)*g^{\prime}(x)](https://tex.z-dn.net/?f=y%5E%7B%5Cprime%7D%20%3D%20f%5E%7B%5Cprime%7D%28u%29%2Ag%5E%7B%5Cprime%7D%28x%29)
So
![f(u) = \tan{u}](https://tex.z-dn.net/?f=f%28u%29%20%3D%20%5Ctan%7Bu%7D)
![f^{\prime}(u) = \sec^{2}{u}](https://tex.z-dn.net/?f=f%5E%7B%5Cprime%7D%28u%29%20%3D%20%5Csec%5E%7B2%7D%7Bu%7D)
![u = g(x) = \pi x](https://tex.z-dn.net/?f=u%20%3D%20g%28x%29%20%3D%20%5Cpi%20x)
![g^{\prime}(x) = \pi](https://tex.z-dn.net/?f=g%5E%7B%5Cprime%7D%28x%29%20%3D%20%5Cpi)
So
![y^{\prime} = f^{\prime}(u)*g^{\prime}(x)](https://tex.z-dn.net/?f=y%5E%7B%5Cprime%7D%20%3D%20f%5E%7B%5Cprime%7D%28u%29%2Ag%5E%7B%5Cprime%7D%28x%29)
![\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20y%5E%7B%5Cprime%7D%20%3D%20%5Csec%5E%7B2%7D%28u%29%2A%5Cpi%20%3D%20%5Cpi%5Csec%5E%7B2%7D%7B%5Cpi%20x%7D)
Insert y in the second equation and solve for x:
4x+(x^2-8)=-8
4x+x^2-8=-8
4x+x^2=0
x^2+4x=0
x = -4
Now you insers this x-value in the first or second equation (i use the first):
y=(-4)^2-8=16-8=8
Therefore the conclusion must be x=-4 and y=8
Answer:
140
Step-by-step explanation:
(7/4) (80) =140 this is the answer for you.