Difference between revisions of "009C Sample Final 1, Problem 8"

Revision as of 21:15, 1 February 2016

A curve is given in polar coordinates by

r=1+\sin 2\theta

0\leq \theta \leq 2\pi

a) Sketch the curve.

b) Find the area enclosed by the curve.

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

@@ Line 1: / Line 1: @@
+<span class="exam">A curve is given in polar coordinates by
+::::::<math>r=1+\sin 2\theta</math>
+::::::<math>0\leq \theta \leq 2\pi</math>
+::<span class="exam">a) Sketch the curve.
+::<span class="exam">b) Find the area enclosed by the curve.
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 !Foundations: &nbsp;