Surface in polar coordinates Let where r and theta are
Chapter , Problem 6AAE(choose chapter or problem)
Surface in polar coordinates Let
\(f(r, \theta)=\left\{\begin{array}{ll} \frac{\sin 6 r}{6 r}, & r \neq 0 \\ 1, & r=0 \end{array}\right.\)
where \({r}\) and \(\theta\) are polar coordinates. Find
a. \(\lim \limits_ {r \to 0} \ f(r, \theta)\)
b. \(f_{r}(0,0)\)
c. \(f_{\theta}(r, \theta), \quad r \neq 0\)
Equation Transcription:
{
r
f(r, )
fr(0, 0)
f(r, ), r0
Text Transcription:
f(r, theta) = begin array sin 6r/6r, and r neq 0 1, and r = 0
r
theta
lim_r right arrow f(r, theta)
f_r(0,0)
f_theta(r, theta), r neq 0
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