Yay for Calculus!
First, use the equation:
xy=S
This is x times y is equal to sum, or S.
Then, use the equation x + y = 200.
Then, solve for x or y. I will solve for y.
Doing so gives me the equation y = 200 - x
Next, use this value for y in the equation xy = S.
Give: x(200-x) = S
Simplify: 200x - x^2 = S.
Take the derivative: 200 - 2x = S'
Set it equal to 0 for critical numbers: 200 - 2x = 0
Solve: -2x = -200
Solve: 2x = 200
Sove: x = 100, which is one of your integers. The other is also 100.
The best option to answer the given question is (B) Most public and private schools require teaching certificates, so acquiring one is crucial in obtaining a teaching job.
Regardless of country, if you would like to teach in a formal education setting, you must have a teaching certification that is considered valid in said country. This, of course, includes the United States.
I believe the answer is d.
