{dx^2}\) as a function of \(t\text{,}\) without simplifying your answer. Sketch the curve \begin{equation*} x=\sin ^2\pi t, \ y=\cos ^2 \pi t, \ 0\leq t\leq 2\text{.} \end{equation*} Clearly label 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.

A yield curve is a graph on which bonds are represented by plotted points. A bond’s Y-axis position represents its interest (coupon) rate, and its X-axis position represents its term.

To construct the tangent to a curve at a certain point A, you draw a line that follows the general direction of the curve at that point. An example of this can be seen below. Once the tangent is ...