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:
≈ 13.98%
Step-by-step explanation:
As the total population is 5769 in the initial period, you must find the percentage that repesents 4963 that is the expected population.
4963/5769=0.8602
Then you multiply it by 100 to transform it into percentage
0.8602*100=86.02%
Then it's just necesary to subtract that from 100% and that numbers is the percentage of decrease
100% - 86.02% = 13.98%
Also you can say that is approximately 14%
P + s = 200......p = 200 - s
20p + 15s = 3400
20(200 - s) + 15s = 3400
4000 - 20s + 15s = 3400
-20s + 15s = 3400 - 4000
-5s = - 600
s = -600/-5
s = 120 <=== there were 120 standard tickets sold
p + s = 200
p + 120 = 200
p = 200 - 120
p = 80 <=== there were 80 premium tickets sold
Evaluating the function from the given graph, g(-9) = 1.
<h3>How to Evaluate a Function?</h3>
To find the value of a function for a given x-value using a given graph, trace the x-value against the corresponding y-value on the y-axis.
To evaluate the function from the graph given, for g(-9), find the y-value that corresponds to the x-value of -9.
The graph shows that when x = -9, the corresponding y-value is 1.
Therefore, g(-9) = 1.
Learn more about functions on:
brainly.com/question/15602982
#SPJ1
Answer: Output = 8 − Input
Step-by-step explanation:
do 8 - each input value and you will get the output value
