The release of pressure should cause it to float back up again. What’s happening here? Scientists have known about the Cartesian Diver toy for hundreds of years. Raffaelo Maggiotti, a student of ...

Sketch the graph of the ellipse \(\ds \frac{x^2}{9}+\frac{y^2}{16}=1\) and determine its foci. Let \(C\) be the conic which consists of all points \(P=(x,y)\) such ...

The objective of this chapter and the following ones (with the exception of Chapters 10 and 11) is to introduce the methods used to solve the fundamental equations of linear acoustics in dissipative ...

The mass/energy conservation laws are derived for two commonly used co-ordinate systems—the Cartesian co-ordinate system in Section 7.1 and the spherical co-ordinate system in Section 7.2. For ...

Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...