$n-3|n^2-5n+6$ Note that $n^2-5n+6=(n-3)^2-(n+3)$ $n-3$ divides $(n-3)^2$, then $n-3$ divides $n+3$ too. Then $n+3=0 -> n=-3$ If $n=-3$ then $n^2-5n+6=...

Consider a linear system of equations $Ax = b$. If the system is overdetermined, the least squares (approximate) solution minimizes $||b - Ax||^2$. Some s...

What is the remainder when $4^{96}$ is divided by 6 My approach : When 4 is divided by 6 gives 4 remainder, when $4^2$ is divided by 6 gives remainder 4 ,...

Is there a mathematical term for raising a a number to the power of its own value.... eg. $5^5 , 1692^{1692}$. Many Thanks

How do you solve proportion if 3 variables are given? I have looked in this site but i could not undertand it completely http://www.beatthegmat.com/ratio-...

Because $$\int_0^{\pi}\sin(x)\,\mathrm{d}x=2,$$ then $$\int_0^{16\pi}|\sin(x)|\,\mathrm{d}x=32.$$ And Wolfram Alpha agrees to this, but when I ask for the...

Let $V$ be a vector space with infinite dimensions. A Hamel basis for $V$ is an ordered set of linearly independent vectors $\{ v_i \ | \ i \in I\}$ such ...

The diagram shows part of the graph of a function whose equation is $y = a\sin(bx^{\circ}) + c$ (a) Write down the values of a, b and c. (b) Determine the...

Water is flowing at the rate of 50m^3 per minute from a shallow concrete conical reservoir of base radius 45m and height 6 meters How fast (centimeters pe...

I know how to take the derivative of this function(It would be $e^{-5x} *( -5)$ right?) but I'm stuck on trying to take the anti derivative of it. Th...