(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:

Answer:
C. Increased food production has supported larger workforces in the manufacturing and service sectors.
Explanation:
I received a 90% on this test, and it seems the most feasible option.
Every other answer for the test is in the .txt file attached to this answer :)
DATE ANSWERED: 5/12/2021
Manipulating stats can limit an individuals perception, so true
Answer:
Sorry I have a glitch where it forced me to answer this or it won't let me off this page.
I'm so sorry.
Explanation:
Answer:
There are five main categories of expenses to think about when figuring out how much your college education is really going to cost: tuition and fees, room and board, books and supplies, personal expenses, and transportation. You can control some of these costs to some extent.
Explanation: