Difference between revisions of "009A Sample Final 2, Problem 4"

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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">Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
  
::<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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::<span class="exam"><math>3x^2+xy+y^2=5</math> at the point <math>(1,-2)</math>
 
 
::<span class="exam">b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
 
 
 
::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
 
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
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Revision as of 18:27, 17 February 2017

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3x^2+xy+y^2=5} at the point Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (1,-2)}
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Solution:

(a)

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(b)

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(c)

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Final Answer:  
(a)
(b)
(c)

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