Difference between revisions of "009C Sample Final 1, Problem 7"

Revision as of 21:14, 1 February 2016

A curve is given in polar coordinates by

r=1+\sin \theta

a) Sketch the curve.

b) Compute

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

.

c) Compute

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

.

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

@@ Line 1: / Line 1: @@
+<span class="exam">A curve is given in polar coordinates by
+::::::<math>r=1+\sin\theta</math>
+::<span class="exam">a) Sketch the curve.
+::<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;"
 !Foundations: &nbsp;