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David H.

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Calculus

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Question:

Find the limit as x approaches infinity of (3x+7)/(x^2+13)

David H.

Answer:

You have to use l'Hopital's Rule in order to achieve the correct answer. If both the numerator and denominator approach either infinity or zero, you have to take the derivative of the numerator(f'(x)) divided by the derivative of the denominator (g'(x)). (3x+7)/(x^2+13) approaches infinity over infinity. Using l'Hopital's Rule, you can simplify it down to 3/2x. You take the limit as x approaches zero of the function, the function approaches zero.

Algebra

TutorMe

Question:

Factor the following polynomial: 3x^3+6x^2+3x

David H.

Answer:

3x^3+6x^2+3x 3x(x^2+2x+1) 3x((x+1)(x-1))

Government

TutorMe

Question:

What caused the Founding Fathers to put the statement, "We the People of the United States of America," instead of putting their state names such as, "We the People of Virginia, the People of Maine, etc" when they were creating the Constitution?

David H.

Answer:

The reason the Founding Fathers made the statement, "We the People of the United States of America," was to promote unity among the states. It was also to show to the United Kingdom that they truly had created a new nation.

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