Difference between revisions of "009B Sample Final 1, Problem 3"

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::::::<math>y=\sin x</math> and <math>y=\frac{2}{\pi}x</math>
 
::::::<math>y=\sin x</math> and <math>y=\frac{2}{\pi}x</math>
  
::<span class="exam">a) Find the three intersection points of the two given functions. (Drawing may be helpful.)
+
<span class="exam">a) Find the three intersection points of the two given functions. (Drawing may be helpful.)
::<span class="exam">b) Find the area bounded by the two functions.
+
 
 +
<span class="exam">b) Find the area bounded by the two functions.
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 3: &nbsp;
 
!Step 3: &nbsp;
|-
 
|
 
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|
 
|}
 
 
'''(c)'''
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 1: &nbsp;
 
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|
 
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|
 
|}
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 2: &nbsp;
 
|-
 
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|-
 
|-
 
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|-
 
|-
 
|'''(b)'''  
 
|'''(b)'''  
|-
 
|'''(c)'''
 
 
|}
 
|}
 
[[009B_Sample_Final_1|'''<u>Return to Sample Exam</u>''']]
 
[[009B_Sample_Final_1|'''<u>Return to Sample Exam</u>''']]

Revision as of 22:11, 1 February 2016

Consider the area bounded by the following two functions:

and

a) Find the three intersection points of the two given functions. (Drawing may be helpful.)

b) Find the area bounded by the two functions.

Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  
Step 3:  
Final Answer:  
(a)
(b)

Return to Sample Exam