Difference between revisions of "009C Sample Final 3, Problem 10"

From Grad Wiki
Jump to navigation Jump to search
(Created page with "<span class="exam">Compute ::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math> ::<span class="exam">b) <mat...")
 
 
(5 intermediate revisions by the same user not shown)
Line 1: Line 1:
−
<span class="exam">Compute
+
<span class="exam">A curve is described parametrically by
 +
::<span class="exam"><math>x=t^2</math>
 +
::<span class="exam"><math>y=t^3-t</math>
  
−
::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
+
<span class="exam">(a) Sketch the curve for &nbsp;<math style="vertical-align: -2px">-2\le t \le 2.</math>
  
−
::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
+
<span class="exam">(b) Find the equation of the tangent line to the curve at the origin.
  
−
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+
<hr>
−
!Foundations: &nbsp;
+
[[009C Sample Final 3, Problem 10 Solution|'''<u>Solution</u>''']]
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|}
 
  
−
'''Solution:'''
 
  
−
'''(a)'''
+
[[009C Sample Final 3, Problem 10 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
−
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
−
!Step 1: &nbsp;
 
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|}
 
  
−
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
−
!Step 2: &nbsp;
 
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|}
 
−
 
−
'''(b)'''
 
−
 
−
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
−
!Step 1: &nbsp;
 
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|}
 
−
 
−
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
−
!Step 2: &nbsp;
 
−
|-
 
−
|
 
−
|-
 
−
|
 
−
|}
 
−
 
−
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
−
!Final Answer: &nbsp;
 
−
|-
 
−
|&nbsp;&nbsp; '''(a)'''
 
−
|-
 
−
|&nbsp;&nbsp; '''(b)'''
 
−
|}
 
 
[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 18:57, 2 December 2017

A curve is described parametrically by

(a) Sketch the curve for  

(b) Find the equation of the tangent line to the curve at the origin.

Solution


Detailed Solution


Return to Sample Exam

Retrieved from "https://gradwiki.math.ucr.edu/index.php?title=009C_Sample_Final_3,_Problem_10&oldid=4471"