(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:

7 is the answer good luck
Answer:
D, scholarships and grants
Explanation:
Scholarships and grants are essentially free money. Therefore, they're generally what one would look at first when trying to pay for a higher education.
Answer: c. Individuals can influence decisions on the ratification of constitutional amendments.
Explanation:
There was no scenario included however this should be the answer. The most popular way for an amendment to the Constitution to be ratified is by two-third of both chambers of Congress proposing an amendment which then has to be ratified by either three-fourths of state conventions or state legislatures.
In the spirit of American democracy, the State Government should act according to the will of the people which means that individuals will be able to influence decisions on the ratification of amendments.
Indeed the Twenty-first amendments proves the influence that individuals have. This Amendment was passed by State convention where delegates from states were chosen to represent the people. The delegates were only chosen based on whether they would vote yes or no to the amendment.
Answer:
True.
Explanation:
An argumentative writing can be defined as an expression of a writer's position (stance) on a subject matter or topic.
A claim can be defined as a statement that is used by a writer to prove, substantiate or support an argument.
Thus, a claim is an assertive statement expressed by a writer to prove that an argument is true or real.
This ultimately implies that, when writers engage in an argument or write an argumentative essay, they make use of a claim to state or express their opinions about the subject matter or topic.
All arguments generally have an unstated premise and as such when evaluating an argument, one should always take into consideration the existence and merit of any unstated premises. Premises connotes claims that fundamentally serves as a reason in an argument.