Chapter 11: Q52E (page 624)
Describe how the graph of g is obtained from the graph of f.
Answer is not given in the drive
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Determine the equation \(\left( {\frac{{{\partial ^2}z}}{{\partial {x^2}}}} \right) + \left( {\frac{{{\partial ^2}z}}{{\partial {y^2}}}} \right) = \left( {\frac{{{\partial ^2}z}}{{\partial {r^2}}}} \right) + \frac{1}{{{r^2}}}\left( {\frac{{{\partial ^2}z}}{{\partial {\theta ^2}}}} \right) + \frac{1}{r} \cdot \frac{{\partial z}}{{\partial r}},\) where \(x = r\cos \theta \) and \(y = r\sin \theta .\)
Find the value of \(\frac{{\partial z}}{{\partial x}}\) and \(\frac{{\partial z}}{{\partial y}}\) using equation 7.
\({x^2} + 2{y^2} + 3{z^2} = 1\)
Find the limit, if it exists, or show that the limit does not exist.
\(\mathop {lim}\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} \frac{{yz}}{{{x^2} + 4{y^2} + 9{z^2}}}\)
Find the limit, if it exists, or show that the limit does not exist.
\(\mathop {lim}\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} \frac{{{x^4} - 4{y^2}}}{{{x^2} + 2{y^2}}}\)
Find and sketch the domain of the function \(f(x,y,z) = ln(16 - 4{x^2} - 4{y^2} - {z^2})\)
What do you think about this solution?
We value your feedback to improve our textbook solutions.
