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Answer:</h2>
A rate of change tells us how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:
For linear functions. the rate of change is the slope of the line. Thus:
FOR THE TABLE:
By taking two points we can get the rate of change, so let's take 
:
FOR THE GRAPH:
Let's take 
:
As you can see, 
so <em>the ROC of the function given by the graph is greater than the ROC of the function given by the table.</em>
Base on the image that you attached that is composed of a diagram that explains and ask to evaluate the indefinite integral of ArcTan(4x)dx, I conclude and formulate some equation that would become a solution of this problem and the outcome to that is 4ln(u)+c, I hope you are satisfied with my answer.
The coordinate of the circumcenter of a triangle is (1,3).
Here we have to find the coordinates of the circumcenter of a triangle.
Given data:
The vertices of the triangle are:
A = (0,1)
B = ( 2,1)
C= ( 2,5)
The formula to find the distance between the two points:
Distance = 
In the same manner distance between AB, BC, and AC are:
AB = 
= 2
BC = 
= 4
AC = 
= 2√5
So by the Pythagoras, we get to know that the triangle is a right-angle triangle.
The circumcenter of a right-angle triangle is the midpoint of the hypotenuse.
Midpoint of AC = (0+2)/2 , (1+5)/2
= 2/2, 6/2
= 1,3
Therefore the coordinate of the circumcenter is (1,3).
To know more about the circumcenter refer to the link given below:
brainly.com/question/21299234
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