(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:
Nuclear fission
Explanation:
Nuclear science is the field of physics that explains the atomic theory. It also explains the behavior, structure, and component parts of atomic nuclei.
Nuclear fission is used in nuclear power plants.
It is a great deal of radioactive waste that releases a great deal of energy with a little radioactivity.
In this process, the nucleus of an atom splits into two or more smaller and lighter nuclei.
The scientists need to measure for forces are magnitude and direction.
<h3>What is Force?</h3>
The force is defined as the external effort applied in the form of push or pull to cause the acceleration of a body.
Mathematically it is expressed as the product of mass and acceleration of an object.
therefore standard expression for the force as per Newton's second law is given as,
F = ma
Here,
m is the mass of the body.
a is the magnitude of the acceleration of the body.
Also, the force is a vector quantity that has significance for its magnitude as well as the direction.
So scientific analysis regarding the force needs its magnitude along with the direction of application.
Thus,The scientists need to measure for forces are magnitude and direction.
Learn more about Newton's second law here:
brainly.com/question/23845187
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Answer
D. Rent textbooks
Explanation
Textbook rental from Chegg allows students to rent books and save money on their college books. Here a student can rent a textbook required by the lecturers and alter return it for free when done. Chegg offers lower charges for renting books than purchasing the book from stores.