Tutor profile: Garrett D.
Is there an easy trick to finding asymptotes?
There is! There are lots of little tricks I can teach you to make it easier. One example is if plugging in any number on just the bottom part of your function gives you zero, that value will be a vertical asymptote. For example, if you have (x-2)/(x-3) your vertical asymptote will be at 3 because if you plug in 3 into the bottom you get zero. This works because you can't divide by zero!
Derivatives are great and all, but just what is an integral?
Good question, integrals can be tricky to understand, we have to think backward! When you take the integral, you're finding the area under a curve. But what does that mean? If we think of a graph of a with its velocity and time, we know if the car travels one hour at ten miles an hour it's gone ten miles. If we look at the graph, we can calculate the area under the line that represents the speed. The area will be ten miles.
All these formulas? I just don't get it, how do I know which one to us?
It can be challenging to find the right one, they all look the same huh! Let's try a little exercise, grab some flashcards and colored pencils. I want you to write out each formula and each symbol (for example, v for velocity or s for seconds) will get its own color. Use that color on all the note cards. Now, let's take a look at the question. Underline each quantity given in the color that corresponds to the color on the formula cards. Now, match up colors and find which formula has everything we need!
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