Answer:
r≈2.26in
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.
Answer:
3. 25
4. 22,31,46
5. One reason beth might not want to join is because she would be the oldest person in the club. according to the stem and leaf chart the oldest person currently in the class is 55 and the next few down are all in their 40s.
Step-by-step explanation:
question 3 is 25 because the median is the middle number, which in this case is 25. question 4 you got correct but there are multiple modes for this set of data being 22,31,46 because all of these numbers tie with 2 of them being repeated throughout the table. question 5 just shows that beth would be the oldest in the club by a marginal number too so that is why beth might not want to join the club.
