# Tutor profile: Evan Y.

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Evan Y.

Experienced math tutor

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## Questions

### Subject: Basic Math

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Question:

Reduce the fraction $$ \frac{40}{60} $$

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Evan Y.

Answer:

Since the greatest common denominator of 40 and 60 is 20, the reduced fraction is $$ \frac{40/20}{60/20} $$ = $$ \frac{2}{3} $$

### Subject: Calculus

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Question:

Find the derivative of $$ f(x) = x sin(x) $$

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Evan Y.

Answer:

Use the product rule: Let a = x, b = sin(x) $$ f'(x) = a'b + b'a = 1(sin(x)) + cos(x) \cdot x = sin(x) + x cos(x) $$

### Subject: Algebra

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Question:

Solve for x: $$ x^{2} = 4 $$

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Evan Y.

Answer:

Take the square root of both sides: $$ x = \pm \sqrt{4} = \pm 2 $$

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