Search found 20 matches
- Tue Jan 02, 2018 10:50 am
- Forum: Linear Algebra
- Topic: Linear Algebra Book Recommendation
- Replies: 1
- Views: 5453
Linear Algebra Book Recommendation
Hi there. I just want to know which book would you recommend to someone who is familiar with the basics and up to acquire a deeper understanding of the concepts of Linear Algebra and its applications?
- Mon Dec 18, 2017 2:29 pm
- Forum: Multivariate Calculus
- Topic: Calculation of the mass of solid bounded by two surfaces
- Replies: 4
- Views: 7069
- Sun Dec 17, 2017 12:27 pm
- Forum: Multivariate Calculus
- Topic: Calculation of the mass of solid bounded by two surfaces
- Replies: 4
- Views: 7069
Re: Calculation of the mass of solid bounded by two surfaces
Is there a general rule to solve this kind of problems, given two surfaces that bound a solid and its density function ?
- Wed Dec 13, 2017 10:34 pm
- Forum: Multivariate Calculus
- Topic: Calculation of the mass of solid bounded by two surfaces
- Replies: 4
- Views: 7069
Calculation of the mass of solid bounded by two surfaces
Can you help me calculate the mass of the solid bounded by the surfaces $x^2+y^2=2y$ and $z=\sqrt{x^2+y^2}$ given its density function $m(x,y,z)=\sqrt{x^2+y^2}$ ?
- Thu Nov 16, 2017 4:59 pm
- Forum: Multivariate Calculus
- Topic: Double Integrals - Changing Order of Integration
- Replies: 6
- Views: 8228
Re: Double Integrals - Changing Order of Integration
Yes, this typo confused me. Thank you again for everything you've done!
- Thu Nov 16, 2017 4:23 pm
- Forum: Multivariate Calculus
- Topic: Double Integrals - Changing Order of Integration
- Replies: 6
- Views: 8228
Re: Double Integrals - Changing Order of Integration
Oh, I see...The example was taken from Marsden-Tromba's Vector Calculus. These books aren't the gospel truth after all!
- Thu Nov 16, 2017 2:59 pm
- Forum: Multivariate Calculus
- Topic: Double Integrals - Changing Order of Integration
- Replies: 6
- Views: 8228
Re: Double Integrals - Changing Order of Integration
I tried drawing D but I got confused. I represent $x=\sqrt{y}$ as $y=x^2$ and plot the lines $y=2$, $x=1$. It seems to me that D is divided in two sections: $0\leq x\leq1$ , $0\leq y\leq x^2$ and $1\leq x\leq\sqrt{2}$ , $x^2\leq y\leq 2$ , because the curve intersects the vertical line. Is this poss...
- Thu Nov 16, 2017 1:46 pm
- Forum: Multivariate Calculus
- Topic: Double Integrals - Changing Order of Integration
- Replies: 6
- Views: 8228
Double Integrals - Changing Order of Integration
Can you show me how to change the order of integration to the following integral (how to find the new limits of integration)?
$\int_{0}^{2}\int_{\sqrt{y}}^{1} (x^2+y^3x) dxdy$
$\int_{0}^{2}\int_{\sqrt{y}}^{1} (x^2+y^3x) dxdy$
- Wed Nov 15, 2017 4:23 pm
- Forum: Multivariate Calculus
- Topic: Volume between two surfaces using double/triple integrals
- Replies: 2
- Views: 4937
Re: Volume between two surfaces using double/triple integrals
Thank you, your help was invaluable!
- Wed Nov 15, 2017 12:58 pm
- Forum: Multivariate Calculus
- Topic: Volume between two surfaces using double/triple integrals
- Replies: 2
- Views: 4937
Volume between two surfaces using double/triple integrals
How can I calculate the volume between the surfaces given below using double/triple integrals and polar coordinates?
$$\begin{Bmatrix}
F_2(x, y) & = & 2-x^2-y^2 \\\\
F_1(x, y)& = & \sqrt{x^2+y^2}
\end{Bmatrix}$$
$$\begin{Bmatrix}
F_2(x, y) & = & 2-x^2-y^2 \\\\
F_1(x, y)& = & \sqrt{x^2+y^2}
\end{Bmatrix}$$