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 ...

An object is moving counter-clockwise along a circle with the centre at the origin. At \(t=0\) the object is at point \(A(0,5)\) and at \(t=2\pi\) it is back to point \(A\) for the first time.

The method of separation of variables in the Dirac equation proposed in an earlier work by one of the present authors [J. Math. Phys. 3 0, 2132 (1989)] is developed for the complete set of ...

Abstract: Writing is the main part of children's advancement. This paper suggests a real robotic methodology for teaching children how to write and enhance their writing and drawing ability in general ...