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

Revision as of 22:03, 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 2: / Line 2: @@
 ::::::<math>r=1+\sin\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">c) Compute <math>y''=\frac{d^2y}{dx^2}</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;"