Answer:
5n+3
Step-by-step explanation:
Answer:
0 +256i
Step-by-step explanation:
According to Euler's formula, ...
(4 cis π/8)^4 = (4^4) cis (4×π/8) = 256 cis π/2 = 0 +256i
_____
"cis" is an abbreviation sometimes used for "cosine + i×sine". It simplifies writing the expression. Engineers sometimes simplify it further, writing 4∠(π/8) for the expression in this problem statement.
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
![\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656](https://tex.z-dn.net/?f=%5Cleft%20%28%201%2B%5Cfrac%7B1%7D%7B19%7D%20%5Cright%20%29%5E%7B19%7D%3D%5Cleft%20%28%20%5Cfrac%7B20%7D%7B19%7D%20%5Cright%20%29%5E%7B19%7D%3D2.65%5C%5C%5Cleft%20%28%201%2B%5Cfrac%7B1%7D%7B22%7D%20%5Cright%20%29%5E%7B22%7D%3D%5Cleft%20%28%20%5Cfrac%7B23%7D%7B22%7D%20%5Cright%20%29%5E%7B22%7D%3D2.659%5C%5C%5Cleft%20%28%201%2B%5Cfrac%7B1%7D%7B20%7D%20%5Cright%20%29%5E%7B20%7D%3D%5Cleft%20%28%20%5Cfrac%7B21%7D%7B20%7D%20%5Cright%20%29%5E%7B20%7D%3D2.653%5C%5C%5Cleft%20%28%201%2B%5Cfrac%7B1%7D%7B21%7D%20%5Cright%20%29%5E%7B21%7D%3D%5Cleft%20%28%20%5Cfrac%7B22%7D%7B21%7D%20%5Cright%20%29%5E%7B21%7D%3D2.656)
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
z=-3
Step-by-step explanation:
Answer:
a
Step-by-step explanation: