(a)
We have been given an equation
. Upon taking derivative of this equation with respect to x on both the sides, we get:

(b)
In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

Therefore, equation of tangent line is:

(c)
We know that slope of tangent is given as
. The tangent will be vertical when denominator of slope is zero, that is:

1. Rachel’s prejudice violates the requirements of critical thinking because she didn’t even try to get to know his character and how he is as a person. She has stated that “heavy people tend to be lazy and dishonest.” 2.) her prejudice violates the requirements of critical thinking due to having an opinion about him from the get go. Her views wouldn’t have changed if he was a good or a bad person because of having assumptions like “she would not hire an overweight person or trust one.”
Answer:
I believe its true but not 100% sure.
Explanation:
I believe the answer is Olgiarchy.
I really hope this helps! I am not definite on the answer but I do feel like it’s the most correct answer that I am aware of. :)