Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...
To sketch the graph of a polar equation a good first step is to sketch the graph in the Cartesian coordinate system. This will give a way to visualize how r changes with θ. The information about how r ...
An engraving of a polar bear hurling a rock at a walrus from Charles Francis Hall's 1865 book Arctic researches, and life among the Esquimaux. Smithsonian Libraries/Public Domain In 1865, Arctic ...
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