Linear function (calculus): Difference between revisions

Revision as of 16:38, 13 May 2018

Revision as of 19:48, 13 May 2018

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:<math>\log_r y = a \log_r x + b \quad\Rightarrow\quad y = r^b\cdot x^a</math>

[[File:Archimedean-Spiral.png|thumb|Archimedean spiral defined by the polar equation r = &frac12;&theta; + 2]]

On the other hand, the graph of a linear function in terms of [[polar coordinates]]:

:<math>r =f(\varphitheta ) = a\varphitheta + b</math>

is an [[Archimedean spiral]] if <math>a \neq 0</math> and a [[circle]] otherwise.