# Tutor profile: Derek L.

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Derek L.

Mathematics Director and Instructor

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## Questions

### Subject: Applied Mathematics

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Question:

\binom {n}{r} \ is defined as what quantity in terms of permutations?

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Derek L.

Answer:

\binom {n}{r} \ = n!/r!(n-r)!

### Subject: Trigonometry

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Question:

What two components of a triangle can be used to determine the cosine of the angle opposite to a given side?

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Derek L.

Answer:

The adjacent and hypotenuse sides can be used to determine the cosine of the angle.

### Subject: Calculus

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Question:

What is the definition of a limit as n approaches infinity as defined by its right and left limits as n approaches infinity?

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Derek L.

Answer:

A limit is defined as the value of the left and right-hand limits as n approaches infinity when said limits are defined as equal.

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