009C Sample Final 3, Problem 8 - Revision history

Kayla Murray at 23:30, 3 December 2017

2017-12-03T23:30:12Z

2017-12-03T01:53:00Z

2017-03-05T22:07:19Z

2017-03-05T22:06:03Z

2017-03-05T21:52:28Z

2017-03-05T21:52:13Z

2017-03-05T01:21:58Z

2017-03-05T01:00:18Z

2017-02-18T19:02:47Z

← Older revision		Revision as of 23:30, 3 December 2017
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−	<span class="exam">A curve is given in polar coordinates by  <math style="vertical-align: -2px">r=4+3\sin \theta~~</math>~~	+	<span class="exam">A curve is given in polar coordinates by  <math style="vertical-align: -2px">r=4+3\sin \theta.</math>
−	~~::<math>0\leq \theta \leq 2\pi~~</math>

	<span class="exam">(a) Sketch the curve.		<span class="exam">(a) Sketch the curve.

@@ Line 6: / Line 6: @@
 <span class="exam">(b) Find the area enclosed by the curve.
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+<hr>
-!Foundations: &nbsp;
+[[009C Sample Final 3, Problem 8 Solution|'''<u>Solution</u>''']]
-'''Solution:'''
+[[009C Sample Final 3, Problem 8 Detailed Solution|'''<u>Detailed Solution</u>''']]
 [[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

@@ Line 33: / Line 33: @@
 !Step 1: &nbsp;
 |-
-|The area of the curve, &nbsp;<math>A</math>&nbsp; is
+|The area enclosed by the curve, &nbsp;<math style="vertical-align: 0px">A</math>&nbsp; is
 |-
+|

@@ Line 32: / Line 32: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 !Step 1: &nbsp;
 |-
+|
 |-
+|
 |-
+|
@@ Line 41: / Line 63: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 2: &nbsp;
+!Step 3: &nbsp;
 |-
+|Lastly, we evaluate to get
 |-
+|
 |}
@@ Line 52: / Line 82: @@
 !Final Answer: &nbsp;
 |-
-|&nbsp;&nbsp; '''(a)'''
+|&nbsp; &nbsp; '''(a)''' &nbsp; &nbsp; See above
 |-
-|&nbsp;&nbsp; '''(b)'''
+|&nbsp; &nbsp; '''(b)''' &nbsp; &nbsp; <math>\frac{41\pi}{2}</math>
 |}
 [[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

@@ Line 21: / Line 21: @@
 !(a) &nbsp;
 |-
+|Insert graph
 |-
+|

← Older revision		Revision as of 01:21, 5 March 2017
Line 1:		Line 1:
−	<span class="exam">A curve is given in polar coordinates by  <math>r=4+3\sin \theta</math>	+	<span class="exam">A curve is given in polar coordinates by  <math style="vertical-align: -2px">r=4+3\sin \theta</math>
	::<math>0\leq \theta \leq 2\pi</math>		::<math>0\leq \theta \leq 2\pi</math>

@@ Line 1: / Line 1: @@
-<span class="exam">A curve is given in polar coordinates by <math>r=4+3\sin \theta</math>
+<span class="exam">A curve is given in polar coordinates by &nbsp;<math>r=4+3\sin \theta</math>
-::::::<math>0\leq \theta \leq 2\pi</math>
+::<math>0\leq \theta \leq 2\pi</math>
-::<span class="exam">a) Sketch the curve.
+<span class="exam">(a) Sketch the curve.
-::<span class="exam">b) Find the area enclosed by the curve.
+<span class="exam">(b) Find the area enclosed by the curve.
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
@@ Line 19: / Line 19: @@
+|
 |}
 '''Solution:'''
@@ Line 61: / Line 62: @@
+|
 |}
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"