Graphing Polar Equations Use a graphing utility to graph the polar equation for and for the integers to . What values of n produce the “heart” portion of the curve? What values of n produce the “bell” portion? (This curve, created by Michael W. Chamberlin, appeared in The College Mathematics Journal.)
To graph: The polar curve where for to .
Given: The polar curve where for to .
Use the Ti-83 calculator to graph the function.
Step 1: Press the [MODE] key and the select the Polar curve option.
Step 2: Press the key and then enter the provided equation to the right of Y1.
Step 3: Press [WINDOW] and enter the following values.
6 for Xmax
4 for Ymax.
Step 4: Press [GRAPH] to sketch the graph.
The following graph is obtained.
Similarly, obtain the graphs for all integer values of n from to 5.
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