1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵ = 1 + <em>i</em> + <em>i</em> ² (1 + <em>i</em> + <em>i </em>² + <em>i</em> ³)
… = 1 + <em>i </em>+ <em>i</em> ² (1 + <em>i</em> + <em>i</em> ² (1 + <em>i</em> ))
… = 1 + <em>i</em> + (-1) (1 + <em>i</em> + (-1) (1 + <em>i</em> ))
… = 1 + <em>i</em> + (-1) (1 + <em>i</em> - 1 - <em>i</em> )
… = 1 + <em>i</em>
<em />
Alternatively, notice that
1 - <em>i</em> ⁶ = (1 - <em>i</em> ) (1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵)
so that
1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵ = (1 - <em>i</em> ⁶) / (1 - <em>i</em> )
Now, <em>i</em> ⁶ = (<em>i</em> ²)³ = (-1)³ = -1, so
1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵ = (1 - (-1)) / (1 - <em>i</em> )
… = 2 / (1 - <em>i</em> )
Multiply the numerator and denominator by the conjugate of 1 - <em>i</em> :
… = 2 (1 + <em>i</em> ) / ((1 - <em>i</em> ) (1 + <em>i</em> ))
… = 2 (1 + <em>i</em> ) / (1² - <em>i</em> ²)
… = 2 (1 + <em>i</em> ) / (1 + 1)
… = 1 + <em>i</em>
The purpose of this map is to show the countries occupied by Germany in 1940.
<h3>How to identify the purpose of a map?</h3>
To identify the purpose of a map we must take certain aspects into account such as:
- Title
- The symbols
- Colors
- The scale
- Among others.
According to the above, in this map we must take into account mainly:
The map shows some countries in Europe in light purple and Germany in dark purple, this can be interpreted as the location of Germany and its territorial influence in Europe during the year 1940.
An important aspect of this map is the time it shows, because we can infer that it refers to the territorial occupation that Germany made during World War II to several European countries.
Learn more about maps in: brainly.com/question/1670085
Answer:
watch on the box to see if it have a number on it and call the number to return the box
Answer:
Explanation:
What is the radius or diameter? I can't help you without that.
The statement which states that "behavioral marketing and customer segmentation can help you rectify your mistakes and rebuild trust effectively" is TRUE.
<h3>What is Customer Segmentation?</h3>
Customer segmentation can be defined as the process of classifying customers with common characteristics into groups based on the shared characteristics in other for a company to be able to effectively market or meet the needs of each market segment effectively.
Customer segmentation and behavioral marketing enable the company to understand the needs of a market and thereby build trust.
Therefore, the statement which states that "behavioral marketing and customer segmentation can help you rectify your mistakes and rebuild trust effectively" is TRUE.
Learn more about customer segmentation on: brainly.com/question/26872475