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

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<span class="exam">Let
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::::::<math>y=x^3</math>
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::<span class="exam">a) Find the differential <math>dy</math> of <math>y=x^3</math> at <math>x=2</math>.
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::<span class="exam">b) Use differentials to find an approximate value for <math>1.9^3</math>.
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Foundations: &nbsp;  
 
!Foundations: &nbsp;  

Revision as of 21:25, 1 February 2016

Let

a) Find the differential of at .
b) Use differentials to find an approximate value for .
Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  
Step 3:  

(c)

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

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