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 \(f(-1)=f(1)=0\) ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c\) is a smooth curve with one turning point. The turning ...

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.

Below is the graph of a quadratic function, showing where the function is increasing and decreasing. If we draw in the tangents to the curve, you will notice that if the gradient of the tangent is ...

Abstract Let 𝐾 be a quadratic number field and let 𝐸 be a ℚ-curve without CM completely defined over 𝐾 and not isogenous to an elliptic curve over ℚ. In this setting, it is known that there exists ...

The methods presented in this paper provide an improved technique for fitting a continuous function to discontinuous step functions so often evolving from empirical studies such as estimation of ...