Difference between revisions of "009A Sample Final 1, Problem 8"
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Kayla Murray (talk | contribs) (Created page with "{| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations: |- | |} '''Solution:''' '''(a)''' {| class="mw-collapsible mw-collapsed" style = "te...") |
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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>. | ||
| + | ::<span class="exam">b) Use differentials to find an approximate value for <math>1.9^3</math>. | ||
| + | |||
{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
!Foundations: | !Foundations: | ||
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: |
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Solution:
(a)
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| Step 2: |
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(b)
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| Step 2: |
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| Step 3: |
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(c)
| Step 1: |
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| Step 2: |
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| Final Answer: |
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| (a) |
| (b) |
| (c) |