Difference between revisions of "009C Sample Final 2, Problem 9"

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<span class="exam">A curve is given in polar coordinates by  
 
<span class="exam">A curve is given in polar coordinates by  
−
::::::<span class="exam"><math>r=\sin(2\theta).</math>
+
::<span class="exam"><math>r=\sin(2\theta).</math>
  
−
::<span class="exam">a) Sketch the curve.
+
<span class="exam">(a) Sketch the curve.
  
−
::<span class="exam">b) Compute <math>y'=\frac{dy}{dx}.</math>
+
<span class="exam">(b) Compute &nbsp;<math>y'=\frac{dy}{dx}.</math>
  
−
::<span class="exam">c) Compute <math>y''=\frac{d^2y}{dx^2}.</math>
+
<span class="exam">(c) Compute &nbsp;<math>y''=\frac{d^2y}{dx^2}.</math>
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"

Revision as of 16:46, 4 March 2017

A curve is given in polar coordinates by

(a) Sketch the curve.

(b) Compute  

(c) Compute  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 y''=\frac{d^2y}{dx^2}.}

Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

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

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