I selected D on my quiz and scored a 100%
(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:

In Piaget's epistemology, cognitive schemas are acquired and formed through a process of internalization conceived of as a functional incorporation of the regular structure of actions into the memory (Piaget 1954). Schemas are higher-level cognitive units that are acquired through slow learning.
Be at least 18 years old at the time of filing Form N-400, Application for Naturalization.
Be a permanent resident (have a “Green Card”) for at least 5 years.
Show that you have lived for at least 3 months in the state or USCIS district where you apply.
Demonstrate continuous residence in the United States for at least 5 years immediately preceding the date of filing Form N-400.
Show that you have been physically present in the United States for at least 30 months out of the 5 years immediately preceding the date of filing Form N-400.
Be able to read, write, and speak basic English.
Have a basic understanding of U.S. history and government (civics).
Be a person of good moral character.
Demonstrate an attachment to the principles and ideals of the U.S. Constitution.
Answer : Hopi.
Explanation : The Hopi tribe who are a Native American tribe, are the ones who primarily lived on the Hopi Reservation in northeastern Arizona.
These were the group of people who believed that humans emerged from a hole in the earth.