# Tutor profile: Natalie A.

## Questions

### Subject: Calculus

What are critical points and why do they matter?

A critical point is a point in which the derivative of the function is equal to 0, or isn't defined. Critical points contain potential local maximum or local minimums. If a critical point contains a local minimum, the critical point is the x-value of the place on the function where a local minimum is attained. The local minimum value will be the function applied to the critical point.

### Subject: ACT

Why is $$\frac{x^5}{x^3} = x^2$$?

First, we can rewrite $$x^5$$ and $$x^3$$ in our equation as $$\frac{x*x*x*x*x}{x*x*x}$$. Recall that $$\frac{x}{x} = 1$$. We can now rewrite the expression as $$1 * 1 * 1 * x * x = x^2$$.

### Subject: Statistics

What is the point of inferential statistics?

It is almost always impossible to obtain information from a whole population, so a sample must be taken. Inferential statistics has the goal of making claims about a whole population based off a sample. Let's say we want to know which candidate will win in an upcoming election. We can't ask every single voter who they're going to support, so we instead take a sample. If we ask a large enough number of voters who they support, we'll be able to get a good idea of who will likely win the election. Using our sample and inferential statistics, we can make a good guess at who will win.

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