Answer:
The x-coordinate is \dfrac{\pi}{6}[/tex].
Step-by-step explanation:
We are given a function f(x) as:
![f(x)=2x+\sin (4x)](https://tex.z-dn.net/?f=f%28x%29%3D2x%2B%5Csin%20%284x%29)
Now on differentiating both side with respect to x we get that:
![f'(x)=2+4 \cos (4x)](https://tex.z-dn.net/?f=f%27%28x%29%3D2%2B4%20%5Ccos%20%284x%29)
When ![f'(x)=0](https://tex.z-dn.net/?f=f%27%28x%29%3D0)
this means that ![2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}](https://tex.z-dn.net/?f=2%2B4%5Ccos%20%284x%29%3D0%5C%5C%5C%5C4%5Ccos%20%284x%29%3D-2%5C%5C%5C%5C%5Ccos%284x%29%3D%5Cdfrac%7B-1%7D%7B2%7D)
Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval
.
also we know that
----(1) (which lie in the second quadrant)
so on comparing our equation with equation (1) we obtain:
![4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}](https://tex.z-dn.net/?f=4x%3D%5Cdfrac%7B2%5Cpi%7D%7B3%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B%5Cpi%7D%7B6%7D)
Hence, the x-coordinates where
for
is
.
Answer:
Can't see the picture because old computer but isn't 16 minus 17 = -1 (negative 1)
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
After the decimal point is the tenths place, and after the tenths place is the hundredths place.
After the decimal point is the number 0, which is at the tenths place. After the tenths place is 6, which is at the hundredths place.
using proportional law 5.6
Y - 5 = -2x - 4
Add 5 on both sides.
y = -2x + 1
y = -2x + 1 is in simplest form.