\(y = x^2 + a\) 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 ...

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 ...

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.

Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. Give an example of a function that satisfies \(f(-1)=f(1)=0\) ...

The event – commonly dubbed a yield curve inversion – was largely viewed as a signal the U.S. economy would likely slip into recession in the near future. An inverted yield curve occurs when ...

Do most individuals die young or live to ripe old ages? Survivorship curves visually answer these demographic questions. Imagine a population of 1,000 individuals born at the same time in the same ...

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

The Friedman curve, the gold standard for rates of cervical dilation and fetal descent during active labor, was developed almost 50 years ago. To define a modern curve for normal labor ...

The post Why Do Some Window Grills Have Curves At The Bottom? The Answer Is Surprising appeared first on The Amazing Times.

Eventually, your valley commute involving the Broadway Curve will be safe and smooth. Some Valley drivers are feeling the ...

Based on the play by Josefina López that inspired the iconic hit film, Real Women Have Curves: The Musical is an uplifting and empowering new show that explores life’s unexpected curves.

The newly-redesigned X2 delivers all the the style and power you expect from the brand, wrapped in a tough-looking yet stylish package that’ll turn heads. It’s also relatively economical for ...