Provide an Appropriate Response $r = 1 + \cos ( \theta - \pi / 6 )$

question 299

Essay

Provide an appropriate response.
-How are the graphs of $r = 1 + \cos ( \theta - \pi / 6 )$ and $r = 1 + \cos ( \theta - \pi / 4 )$ related to the graph of $r = 1 + \cos \theta$ ? In general, how is the graph of $\mathrm { r } = \mathrm { f } ( \theta - \alpha )$ related to the graph of $\mathrm { r } = \mathrm { f } ( \theta )$ ?

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Definitions:

Investment

The action or process of investing money for profit or material result.

Altruism

The selfless concern for the well-being of others without expecting anything in return.

Hegel

A German philosopher known for his dialectical method and the concept of the Absolute Spirit, emphasizing the historical development of consciousness and reality.

Spirit

In Hegel, the all-embracing idea that includes the entire universe and all of humanity. More generally, spirit means enthusiasm (as in “team spirit” or “when the spirit moves me”); in religion, spirit usually refers to an intangible being, such as God or, sometimes, the human soul.