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

Revision as of 10:32, 18 February 2017

A curve is given in polar coordinates by

r=\sin(2\theta ).

a) Sketch the curve.

b) Compute

y'={\frac {dy}{dx}}.

c) Compute

y''={\frac {d^{2}y}{dx^{2}}}.

Solution:

(a)

Step 2:

(b)

Step 2:

Final Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
-<span class="exam">Compute
+<span class="exam">A curve is given in polar coordinates by
+::::::<span class="exam"><math>r=\sin(2\theta).</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.
-::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
+::<span class="exam">b) Compute <math>y'=\frac{dy}{dx}.</math>
+::<span class="exam">c) Compute <math>y''=\frac{d^2y}{dx^2}.</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"