If the temperature in frostburg is 18 less than the temperature in coldspot, then the following equation compares the two temperatures:
where 
are the temperatures in frostburg and coldspot. Since we're given 
, we can solve for 
:
Answer:
Step-by-step explanation:
In 
, 
represents a constant related to the period of the function. Here's how it's related:
, where 
is the period of the function.
We're given 
, so solving for :
Answer:
x=7
Step-by-step explanation:
3x-9=12
add 9 to both sides
3x=21
divide both sides by 3
x=7
First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
