Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Problem 4
Plot the point having the given set of polar coordinates; then find another set of polar coordinates for the same point for which (a) \(r<0\) and \(0 \leq \theta<2 \pi ;\) (b) \(r>0\) and \(-2 \pi<\theta \leq 0 ;\) (c) \(r<0\) and \(-2 \pi<\theta \leq 0\).\(\left(3, \frac{3}{2} \pi\right)\)
Problem 5
Draw a sketch of the graph of the given equation.\(\theta=5\)
Problem 5
Find the points of intersection of the graphs of the given pair of equations. Draw a sketch of each pair of graphs with the same pole and polar axis.\(\left\\{\begin{array}{l}r=4 \theta \\ r=\frac{1}{2} \pi\end{array}\right.\)
Problem 5
Find the area of the region enclosed by the graph of the given equation.\(r^{2}=4 \sin 2 \theta\)
Problem 6
Find the area of the region enclosed by the graph of the given equation.\(r=4 \sin ^{2} \theta \cos \theta\)
Problem 6
Find the points of intersection of the graphs of the given pair of equations. Draw a sketch of each pair of graphs with the same pole and polar axis.\(\left\\{\begin{array}{l}\theta=\frac{1}{6} \pi \\\ r=2\end{array}\right.\)
Problem 7
Find the area of the region enclosed by one loop of the graph of the given equation.\(r=3 \cos 2 \theta\)
Problem 7
Draw a sketch of the graph of the given equation.\(r=5\)
Problem 7
Plot the point having the given set of polar coordinates; then give two other sets of polar coordinates of the same point, one with the same value of \(r\) and one with an \(r\) having opposite sign.\(\left(3,-\frac{2}{3} \pi\right)\)
Problem 8
Find the area of the region enclosed by one loop of the graph of the given equation.\(r=a \sin 3 \theta\)
