# Precalculus

### 1. A bag contains 5 purple jelly beans, 3 pink jelly beans and 2 yellow jelly beans. Two consecutive draws…

1. A bag contains 5 purple jelly beans, 3 pink jelly beans and 2 yellow jelly beans. Two consecutive draws are made from the bag with replacement. Find the probability…

### Functions and Their Applications

When you buy your favorite type of chocolate you are charged by how much you want. The cost is therefore a function, because it depends on the number of ounces…

### Describe the shape of the graph of the basic function and the domain and range. Then describe the changes that occur…

Describe the shape of the graph of the basic function and the domain and range. Then describe the changes that occur with the transformations and the domain and range of the…

### Time Perception as We Age

1. Our theory is that your perception of a length of time is inversely proportional to your age. Using the variables above, how would you state the theory in a…

### If you want to put a 4 x 8 piece of plywood through a 3 foot square opening in your ceiling by turning it diagonally, is the opening big enough? Use a 45-45-90 triangle since it is a square

If you want to put a 4 x 8 piece of plywood through a 3 foot square opening in your ceiling by turning it diagonally, is the opening big enough?…

### How do I use DeMoivre’s theorem to solve z3-1=0?

If z3-1=0, then we are looking for the cubic roots of unity, i.e. the numbers such that z3=1. If you’re using complex numbers, then every polynomial equation of degree k…

### How do I find the sine of the angle between two vectors?

I’m assuming you either have the components of the vectors, or their magnitude and angle. You will need to apply the cross product to get the sine. Honestly, it’d be…

### What does the intermediate value theorem mean?

You could say that it basically says the Real numbers have no gaps.

### What is the reciprocal function?

The reciprocal function is: f(x)=1x It’s graph is as following: This is an example of asymptote. Since x can take all values except 0 for f(x) to be defined, :…