Give an example of a two variable function that is not continuous at (1,2) . Explain why your example works.

A two-variable function is something like:

z = f(x, y).

We want this function to not be continuous at (1, 2), this means that x = 1 and y = 2.

Now, a easy way to make a function not continuous at a given point, we can have a denominator that is equal to zero at that particular point, and this is because we can not divide by zero

For example, we could have:

The denominator is (x - 1) + (y - 2)

When x = 1, and y = 2, this is equal to zero, then this function is not continuous in the point (1, 2).

there are no short passages to look at

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!