Numbers that are close in value to the actual numbers
Answer:
f(x) = 4
Step-by-step explanation:
Let us assume that the linear function f(x) = ax + b
Here, we have to find the value of a and b to know the function.
Given that f(-10) = 4 and f(-2) = 4
So, -10a + b = 4 ....... (1) and
-2a + b = 4 .......... (2)
From equations (1) and (2) we get a = 0 and b = 4.
So, the linear function is f(x) = 4. (Answer)
Answer:
thats funny lol :)
Step-by-step explanation:
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.
