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

Revision as of 16:46, 4 March 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">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>
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