Step-by-step explanation:
This seems to be calculus 1.
<u>Question a</u>
We have 
m = slope = derivative
Find the derivative / slope of 
We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.


when x = a
<em>Now that we have this information, we can answer question b</em>
<u>Question b</u>
<u>The tangent line for Point (1, 12)</u>
First find the slope by using our derivative.

Now that we have our slope, use point slope form to find our tangent line


<u>Now lets do the same for the Point (2, 13)</u>
Find the slope at the point.
Now find the tangent line using point slope form of a line.


Now graph the lines, which I have done and you can see by viewing the image I have attached.
Answer:
C
Step-by-step explanation:
U just gotta learn the definitions
For a , C= 18.85
for b , C= 21.99
for 1 , C= 75.4
for 2 , C= 87.96
X=75
1,108-1,033= 75
That is why it's that answer.