Given:
The function is
![f(x)=x](https://tex.z-dn.net/?f=f%28x%29%3Dx)
To find:
The tangent line to the graph of f(x)=x at point (0,0).
Solution:
We have,
![f(x)=x](https://tex.z-dn.net/?f=f%28x%29%3Dx)
It is a linear function because the highest power of the variable is 1.
We know that the tangent line to a linear function at any point is the line itself.
Derivative of given function is
![f'(x)=1](https://tex.z-dn.net/?f=f%27%28x%29%3D1)
So, slope of the tangent line is 1. It is given table the tangent line passes through the point (0,0). The equation of tangent line is
![y-0=1(x-0)](https://tex.z-dn.net/?f=y-0%3D1%28x-0%29)
![y=x](https://tex.z-dn.net/?f=y%3Dx)
Therefore, the tangent line to the graph of f(x)=x at point (0,0) is y=x.
Answer:
154.10 Feets
Step-by-step explanation:
Given the following :
Height (h) of cliff = 320 feet
Angle of depression of near side = 16.5°
Angle of depression of far side = 10.5°
Using trigonometry :
We can obtain x and y as shown in the attached picture :
Tanθ = opposite / Adjacent
Adjacent = height of cliff = 320 Feets
For the near side :
Tanθ = opposite / Adjacent
Tan (16.5°) = x / 320
0.2962134 = x / 320
x = 0.2962134 * 320
x = 94.788318 Feets
For the far side :
Tanθ = opposite / Adjacent
Tan (10.5°) = x / 320
0.1853390 = x / 320
x = 0.1853390 * 320
x = 59.308494 Feets
Length of island = (59.308494 + 94.788318) feet
= 154.10 Feets
Answer:
The Answer is X= 17.1 in.
Step-by-step explanation:
Answer:
3,500
Step-by-step explanation:
700,000/200
7,000/2
3,500