Answer:
"g(x) = log₂(x) + 2" is the closest graph to what g(x) would be, slightly above f(x) and curving up.
For the answer to the question above,
<span>the angle of 360 ° → π.d </span>
<span>the angle of x ° → 8π </span>
<span>You make the cross-multiply and you can get: </span>
<span>x * π.d = 8π * 360 </span>
<span>x * d = 8 * 360 </span>
<span>x = 8 * 360/d → where d = 2r </span>
<span>x = 8 * 360/2r </span>
<span>x = 4 * 360/r → where r = 4.5 cm </span>
<span>x = 4 * 360/4.5 </span>
<span>x = 320 °</span>
The coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)
<h3>How to determine the coordinates?</h3>
The given parameters are given as:
- Slope, m = 2/3
- y-intercept, c = -5
The equation is represented as:
y = mx + c
So, we have:
y = 2/3x -5
When x = 0, we have;
y = 2/3 * 0 -5 = -5
When x = 3, we have;
y = 2/3 * 3 -5 = -3
When x = 6, we have;
y = 2/3 * 6 -5 = -1
When x = 9, we have;
y = 2/3 * 9 -5 = 1
Hence, the coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)
Read more about linear equations at:
brainly.com/question/14323743
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Answer:

Step-by-step explanation:
Given: 
Solution:
A differential equation is said to be separable if it can be written separately as functions of two variables.
Given equation is separable.
We can write this equation as follows:

On integrating both sides, we get

Formulae Used:

So, we get solution as 
Applying condition: x(0) = 1, we get 
Therefore, 

Here, 1/10 is the slope and 1/10 is the Y intercept.