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Solomon M.

Former High School, Junior High and Post-Secondary Instructor. Father of four High Schoolers, Experienced Tutor

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Basic Math

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Question:

If Mr. Jones departs Cleveland at 4:00 PM and travels at a rate of 50 mph, how long will it take him to reach Columbus, which is 125 miles away?

Solomon M.

Answer:

The formula to apply here is distance=rate*time. We know the distance is 125 miles and the rate is 50 miles/hour. The answer will be 125/50 or 2.5. It takes Mr. Jones 2 and one-half hours to reach Columbus.

Calculus

TutorMe

Question:

How can a derivative be used to find the slope of a tangent line to a two-dimensional curve for which we know the formula?

Solomon M.

Answer:

The slope of a tangent line can be determined by using the definition of a derivative formula: specifically, find f'(x) as the limit (h -->0) of {[f(x+h) - f(x)]/h}.

Electrical Engineering

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Question:

Why do electricity utility provides distribute power at high voltage?

Solomon M.

Answer:

The primary reason for high-voltage electrical distribution is an effort to reduce transmission loss. By generating and transmitting power at high voltage, the utility is taking advantage of Ohm's Law which states that power loss has an inverse relationship to Voltage; in other words the higher the line voltage, the lower the line current and subsequently, the lower the power loss.

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