Difference between revisions of "009C Sample Final 1, Problem 10"

Revision as of 22:05, 1 February 2016

A curve is given in polar parametrically by

x(t)=3\sin t

y(t)=4\cos t

0\leq t\leq 2\pi

a) Sketch the curve.

b) Compute the equation of the tangent line at $t_{0}={\frac {\pi }{4}}$ .

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

Final Answer:
(a)
(b)

@@ Line 4: / Line 4: @@
 ::::::<span class="exam"><math>0\leq t \leq 2\pi</math>
-::<span class="exam">a) Sketch the curve.
+<span class="exam">a) Sketch the curve.
-::<span class="exam">b) Compute the equation of the tangent line at <math>t_0=\frac{\pi}{4}</math>.
+<span class="exam">b) Compute the equation of the tangent line at <math>t_0=\frac{\pi}{4}</math>.
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-'''(c)'''
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 1: &nbsp;
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-|-
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-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 2: &nbsp;
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 |'''(a)'''
 |-
 |'''(b)'''
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 [[009C_Sample_Final_1|'''<u>Return to Sample Exam</u>''']]