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

Revision as of 21:16, 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:

(c)

Step 1:

@@ Line 1: / Line 1: @@
+<span class="exam">A curve is given in polar parametrically by
+::::::<span class="exam"><math>x(t)=3\sin t</math>
+::::::<span class="exam"><math>y(t)=4\cos t</math>
+::::::<span class="exam"><math>0\leq t \leq 2\pi</math>
+::<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>.
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 !Foundations: &nbsp;