Difference between revisions of "Pages For External Wiki"

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(Created page with "=Precalculus= Presented below is the template for one of the sample questions Parker presented during 302. 2. Question Statement {| class="mw-collapsible mw-collapsed" ! Fo...")
 
 
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=Precalculus=
 
=Precalculus=
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===Good Ideas/Help===
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This is a section for things you want to see as part of the external wiki, Precalculus section. Provide a piped link to your page where you describe what you want to build/need help with
  
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Presented below is the template for one of the sample questions Parker presented during 302.
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===In Progress===
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Self-explanatory <br>
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2. Question Statement
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[[Matt Lee's pages]] <br>
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[[Power Series Diff|John's pdf Power Series with Differentiation]]<br>
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{| class="mw-collapsible mw-collapsed"
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[[Kayla's pages]]
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! Foundations
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===Completed===
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|-
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Once you think your page is ready to be moved to the external wiki move your link here and contact one of the Pre-calculus project members. We will let you know if it needs to be changed. Once it is approved we will let you know. Make sure you follow up to make sure you get credit for your work
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|'''The foundations:'''
 
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| Provide an short explanation about the prerequisite material required to complete this problem.
 
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Solution:
 
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{| class = "mw-collapsible mw-collapsed"
 
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! Step 1:
 
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|-
 
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|Provide as many steps as necessary to complete the problem.
 
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|The steps should split the solution based on the foundation topics
 
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{| class = "mw-collapsible mw-collapsed"
 
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! Step 2:
 
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|Additional step provided to make the template longer
 
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'''Example'''
 
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2. Find the domain of the following function. Your answer should use interval notation.
 
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f(x) = <math style="vertical-align:-17%;">\displaystyle{\frac{1}{\sqrt{x^2-x-2}}}</math>
 
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{| class="mw-collapsible mw-collapsed"
 
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! Foundations
 
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|'''The foundations:'''
 
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| What is the domain of g(x) = <math style="vertical-align:-17%;">\frac{1}{x}</math>?
 
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|The function is undefined if the denominator is zero, so x <math>\neq </math>0.
 
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|Rewriting"x <math>\neq </math>0" in interval notation( <math>-\infty</math>, 0) <math>\cup</math>(0, <math>\infty</math>)
 
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|What is the domain of h(x) = <math>\sqrt{x}</math>?
 
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|The function is undefined if wwe have a negative number inside the square root, so x <math>\ge</math> 0
 
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Solution:
 
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{| class = "mw-collapsible mw-collapsed"
 
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! Step 1:
 
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|Factor <math style="vertical-align:-17%;">x^2 - x - 2</math>
 
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|<math style="vertical-align:-17%;">x^2 - x - 2 = (x + 1) (x - 2)</math>
 
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| So we can rewrite f(x) as f(x) = <math style="vertical-align:-17%;">\displaystyle{\frac{1}{\sqrt{(x+1)(x-2)}}}</math>
 
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{|class = "mw-collapsible mw-collapsed"
 
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! Step 2:
 
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|When does the denominator of f(x) = 0?
 
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|<math>sqrt{(x + 1)(x - 2)} = 0</math>
 
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|(x + 1)(x - 2) = 0
 
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|(x + 1) = 0 or (x - 2) = 0
 
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|x = -1 or x = 2
 
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|So, since the function is undefiend when the denominator is zero, x <math>\neq</math> -1 and x <math>\neq</math> 2
 
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{|class = "mw-collapsible mw-collapsed"
 
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! Step 3:
 
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|What is the domain of h(x) = <math style="vertical-align:-17%;">\sqrt{(x + 1)(x - 2)}</math>
 
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|critical points: x = -1, x = 2
 
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|Test points:
 
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|x = -2: (-2 + 1)(-2 - 2): (-1)(-4) = 4 > 0
 
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|x = 0: (0 + 1)(0 - 2) = -2 < 0
 
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|x = 3: (3 + 1)(3 - 2): 4*1 = 4 > 0
 
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|So the domain of h(x) is (<math>-\infty</math>, -1] <math>\cup</math> [2, <math>\infty</math>)
 
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{|class = "mw-collapsible mw-collapsed"
 
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! Step 4:
 
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|Take the intersection (i.3. common points) of Steps 2 and 3. ( <math>- \infty</math>, -1) <math>\cup</math> (2, <math>\infty</math>)
 
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|}
 
  
  
 
=Calculus=
 
=Calculus=
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[[022 Sample Final A]]

Latest revision as of 11:36, 30 May 2015

Precalculus

Good Ideas/Help

This is a section for things you want to see as part of the external wiki, Precalculus section. Provide a piped link to your page where you describe what you want to build/need help with

In Progress

Self-explanatory
Matt Lee's pages
John's pdf Power Series with Differentiation
Kayla's pages

Completed

Once you think your page is ready to be moved to the external wiki move your link here and contact one of the Pre-calculus project members. We will let you know if it needs to be changed. Once it is approved we will let you know. Make sure you follow up to make sure you get credit for your work


Calculus

022 Sample Final A

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