Provide an appropriate response.Is the quotient of two monomials always a monomial? Why or why not? If not, give an example.
What will be an ideal response?
The quotient of two monomials may not be a monomial just as the quotient of two integers may not be an integer. For example, 14x divided by 7xy is equal to 
, which is not a monomial because there is a variable in the denominator of the fraction. (Answers may vary.)
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Solve the equation.
- 6 = 0
A. {6}
B. ?
C. 
D. {36}
Find the indicated maximum or minimum values by the linear programming method. The constraints are shown below the objective function.Minimum C:C = 6x + 2yx ? 0, y ? 0x + y ? 42x + y ? 6
A. 16 B. 24 C. 12 D. 8
Solve the problem.The delivery of a drug (such as an antibiotic) through an intravenous line may be modeled by the differential equation src="https://sciemce.com/media/4/ppg__tttt0613190828__f1q11g5.jpg" alt="" style="vertical-align: -4.0px;" /> are solutions increasing? decreasing? What is the equilibrium solution?
A. increasing for A < 40 and decreasing for A > 40; m(t) = 40
B. increasing for A > 40 and decreasing for A < 40; m(t) = 40
C. increasing for A < 40 and decreasing for A > 40; m(t) = 0
D. increasing for A > 40 and decreasing for A < 40; m(t) = 0
where m(t) is the mass of the drug in the blood at time 
k is a constant that describes the rate at which the drug is absorbed, and I is the infusion rate. Let 
and 
For what initial values
Solve the problem.A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the width of the pool. Estimate the volume of water in the pool using the Simpson's Rule.
A. 12,300 ft3 B. 7000 ft3 C. 10,500 ft3 D. 9300 ft3