Prove that there is exactly one time when the particle crosses the line \(y=x\text{.}\) Let \(x=2\sin t+1\) and \(y=2t^3-3\) define a parametric curve. Find \(\ds \frac{d^2y}{dx^2}\) as a function of ...

March 13, 2025 /PRNewswire/ -- Spinal Resources Inc. received a patent from the United States Patent and Trademark Office on its new Bezier Parametric Curve Spinal Rod System. The patented system ...

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.