\(y = x^2 + a\) represents a translation parallel to the \(y\)-axis of the graph of \(y = x^2\). If \(a\) is positive, the graph translates upwards. If \(a\) is negative, the graph translates ...

Named after economist Arthur Laffer, the Laffer curve is a concept you've likely heard in the news as it concerns taxes, tax ...

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 ...

Calculate the shaded area between the two curves below. \(y=x^{2}\) and \(y=2x-x^{2}\) Firstly, we need to prove whether or not the curve and straight line actually intersect at all by using the ...

F2=6.53% Continue this exercise for all maturities and you have the one-year forward yield curve. The yield curve graph is usually yield (y-axis) against maturity (x-axis).

Investopedia / Yurle Villegas A Lorenz curve, developed by American economist Max Lorenz in 1905, is a graphical representation of income inequality or wealth inequality. The graph plots ...

The Laffer curve, a mound-shaped indicator, was designed to find the ideal tax rate that would help the government, as well as the people it serves, prosper. The idea is credited to economist Dr ...

As cheap microcontrollers have given us an impressive range of test equipment trinkets to play with, it’s easy to forget some ...

Mathematicians have made lots of recent progress on a question called the Mordell conjecture, which was posed a century ago ...

That, however, is not the case with the full redesigned 2024 BMW X2, the smallest SUV (or SAV ... When I had the opportunity to accelerate around a curve, it hugged the road.

The new flagship OnePlus phone, the OnePlus 13, features a new chip from Qualcomm, larger battery, new display, and more.

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.