# Tutor profile: Caden L.

## Questions

### Subject: Russian

What is the correct translation for the word "me" in the Dative Case? Is it a) меня b) мне c) мной d) я

The correct answer to the question is b) мне. меня is the Genitive/Accusative case form for the word "me." мной is the Instrumental case form for the word "me." я is the Nominative form of the word "I."

### Subject: Calculus

If f(x) = x^2 + 3x +8, what is f'(x), and what is the slope of the line tangent to f(x) at x=5?

This question has two parts, the first part is to find the equation of f'(x). To do this, use the power rule on f(x). This leads to f'(x) = 2x + 3. Now that we have the equation for the derivative of f(x), we plug in 5 to the function of the derivative for the second part of the question. Therefore, f'(5) = 2(5) +3 which equals 10 + 3, or 13. This equals the slope of the line tangent to f(x) at x=5.

### Subject: Algebra

If the function f(x) = 2x + 7, what would be the slope of a line perpendicular to f(x)? a) 2 b) -2 c) 1/2 d) -1/2

The answer to the question is d) -1/2. In order to find the slope perpendicular to any function of the form y = mx + b, take the slope "m", find its reciprocal and make it negative.

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