Given a point $Q$ and $2d$ Cubic Bezier Curve: $$P = A(1-t)^3 + 3Bt(1-t)^2 + 3Ct^2(1-t) + Dt^3$$ Is there a way to know which side of the curve the point ...
My textbook shows the following step.. $$\large{F_{T}(t) = \int_{-\infty}^{\infty} \frac{1}{\sqrt{2 \pi}}e^{\frac{-y^{2}}{2}} \left(\int_{-\infty}^{t|y|} ...
I have a problem which I've had a look on "Maths Stack Exchange" and other resources to help, but still am stuck, so any help would be most appreciat...
A prime number not equal to $2$ and $5$ can't have last digit equal to $2,4,5,6$ and $8$. Is it true that this is the only restriction on last digits...
Let $m$ white balls and $n$ black balls. We arrange them randomly in a row. Let $k_1,\ldots, k_j \in\mathbb{N}$ such that $k_1 + \cdots + k_j = m$. What...
I got a question given by my lecturer to find the domain and range of this function: $$y=\sqrt{2-x^2}$$ For the domain, we start by restricting the square...
Consider the differential equation $$y'=y(y-1)(y-2)$$ Which of the following statements is true ? If $y(0)=0.5$ then y is decreasing. If $y(0)=1.2$ t...
Given $u=(0,0)$, $v=(\frac12,0)$, $w=(\frac12,\frac12)$. Find the hyperbolic area of the hyperbolic triangle $[u,v,w]$ in $\mathbb{H}^2$. My approach: One...