Difference between revisions of "009A Sample Final 3, Problem 6"

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(Created page with "<span class="exam">Compute ::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math> ::<span class="exam">b) <math st...")
 
 
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<span class="exam">Compute
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<span class="exam"> Let
  
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::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math>
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::<math>f(x)=4+8x^3-x^4</math>
  
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::<span class="exam">b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
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<span class="exam">(a) Over what &nbsp;<math style="vertical-align: 0px">x</math>-intervals is &nbsp;<math style="vertical-align: -4px">f</math>&nbsp; increasing/decreasing?
  
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::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
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<span class="exam">(b) Find all critical points of &nbsp;<math style="vertical-align: -4px">f</math>&nbsp; and test each for local maximum and local minimum.
  
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<span class="exam">(c) Over what &nbsp;<math style="vertical-align: 0px">x</math>-intervals is &nbsp;<math style="vertical-align: -4px">f</math>&nbsp; concave up/down?
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'''Solution:'''
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<span class="exam">(d) Sketch the shape of the graph of &nbsp;<math style="vertical-align: -4px">f.</math>
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[[009A Sample Final 3, Problem 6 Solution|'''<u>Solution</u>''']]
  
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[[009A Sample Final 3, Problem 6 Detailed Solution|'''<u>Detailed Solution</u>''']]
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!Final Answer: &nbsp;
 
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[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 16:42, 2 December 2017

Let

(a) Over what  -intervals is    increasing/decreasing?

(b) Find all critical points of    and test each for local maximum and local minimum.

(c) Over what  -intervals is    concave up/down?

(d) Sketch the shape of the graph of  

Solution


Detailed Solution


Return to Sample Exam

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