2(9x + 3) + 5x = 48 + 2x
18x + 6 + 5x = 48 + 2x
23x + 6 = 48 + 2x
23x - 2x = 48 - 6
21x = 42
x = 42/21
x = 2
this sequence is not and hence monotonic
Exmplamation
np
Answer:
Step-by-step explanation:
679
Answer:
1. Slope at a=2 is 2.
2. Slope at a=0 is 2.
Step-by-step explanation:
We need to find the slope of y = f(x) at x = a.
1.
The given function is
![f(x)=x^2-2x](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-2x)
It can be written as
![y=x^2-2x](https://tex.z-dn.net/?f=y%3Dx%5E2-2x)
Differentiate with respect to x.
![y'=2x-2](https://tex.z-dn.net/?f=y%27%3D2x-2)
Substitute x=2 to find the slope of y = f(x) at a=2.
![y'=2(2)-2](https://tex.z-dn.net/?f=y%27%3D2%282%29-2)
![y'=4-2](https://tex.z-dn.net/?f=y%27%3D4-2)
![y'=2](https://tex.z-dn.net/?f=y%27%3D2)
Therefore the slope of function at a=2 is 2.
2.
The given function is
![f(x)=\sin 2x](https://tex.z-dn.net/?f=f%28x%29%3D%5Csin%202x)
It can be written as
![y=\sin 2x](https://tex.z-dn.net/?f=y%3D%5Csin%202x)
Differentiate with respect to x.
![y'=2\cos 2x](https://tex.z-dn.net/?f=y%27%3D2%5Ccos%202x)
Substitute x=0 to find the slope of y = f(x) at a=0.
![y'=2\cos 2(0)](https://tex.z-dn.net/?f=y%27%3D2%5Ccos%202%280%29)
![y'=2(1)](https://tex.z-dn.net/?f=y%27%3D2%281%29)
![y'=2](https://tex.z-dn.net/?f=y%27%3D2)
Therefore the slope of function at a=0 is 2.
Answer:
224
Step-by-step explanation:
7x^2 y
Let x =4 and y=2
7(4)^2 (2)
7*16*2
224