Department of Mechanical Engineering, The University of Louisiana at Lafayette, Lafayette, LA, USA. The study of curvature in geometry and its relationship with differential equations is a central ...

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.

This Python script determines the symmetric image of any given real-valued parametric curve with respect to any other given real-valued parametric pointwise-differentiable curve in the 2D Cartesian ...