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Functions

A function is much like a computer program. The function is a rule (e.g., an equation) that takes some inputs (numbers) and produces some output, another number. One kind of function is the type...

Vectors: A New Kind of Animal

Imagine we are walking down the street after a tasty supper. We look to our left, and we sight a minotaur ambling down the street with a cup of joe in hand. Distracted, we trip over an overgrown ro...

Vector Functions

Recall that functions are much like computers or machines that take in one or several input numbers and put out a single number. And recall that vectors are mathematical entities composed of two pi...

Parametric Equations

Ashleigh, Joe, and some of their friends are playing a game of Monopoly, and the game is almost over. Joe is about to lose it all, and Joe hates to lose. Before Ashleigh is about to backrupt him, h...

Polar Coordinates

It's a hot summer evening. Bob has been training for an Iron Man and needs major calorie intake. He finished his dinner of pizza and hot dogs, but he still has room for dessert. He eyeballs that ke...

Polar Functions

We're ready to practice using polar coordinates. Polar functions are the perfect opportunity to practice. We can think of polar functions like a bear itself, a polar bear in this case. We need to w...

In the Real World

You might feel like you're taking a foreign language class, calling the same point by polar coordinates (r, θ) or rectangular coordinates (x, y). Maybe we're talking about...
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