.1 is the rational number
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.
Answer:
<em><u>slope is -7/8</u></em>
Step-by-step explanation:
ok
first remember these to formulas:
and
now insert the points:
= -7/8
slope intercept form:
y - 4 = -7/8(x - (-5)
y - 4 = -7/8(x + 5)
y = -7x/8 - 3/8
Have a nice day!
and if you have a question or if I did anything wrong please tell me.
Hey there!!
Given equation :
... 3x - 2 + 5x = 4x + 5 - 2x
Combining like terms :
... 8x - 2 = 2x - 5
Subtracting 2x on both sides :
... 6x - 2 = - 5
Adding 2 on both sides :
... 6x = - 3
Dividing by 6 on both sides :
... x = -1/2 = -0.5
Hence, the answer is -0.5
Hope my answer helps!
