From what I gather, I can use the alternating series test to check if an alternating series converges or diverges. Let's say, for example I have the ...

Find the derivative of $y^3-xy^2+\cos xy=2$ My Attempt: $$y^3-xy^2+\cos xy=2$$ $$\dfrac {d}{dx} [y^3-xy^2+\cos xy]=\dfrac {d}{dx} [2]$$ $$3y^2.\dfrac {dy}...

Assume a set of numbers {0,1,2,3,4,4,4,4,4,5,6,7,8,9} What mathematical name is given to the number that most frequently occurs? For example, if I was to ...

This question may be very simple, but I get confused on things like it. If I have a fraction like this: $-\frac{x}{-2}$ How can I convert this negative fr...

Solve $x^2+5x+24=0$ mod $36$ So I have $x^2+5x+24\equiv 0$ mod $2^2\cdot 3^2$ SO I believe I need $x^2+x\equiv 0$ mod $2$ and $x^2+2x\equiv 0$ mod $3$ Whi...

Maybe a simple question but I can't find a good example of it on the internet. What is the derivative of: $x^{2x}$ What is the simplest method of det...

Let $A$ and $B$ be two covariance matrices such that $AB=BA$. Is $AB$ a covariance matrix? A covariance matrix must be symmetric and positive semi definit...

I'm asked to find the average value of a function, on an interval [5,15] given its rate of change (derivative): $ f(v)= 2*e^-0.4v-e^-0.12v $ When I i...

I'm throwing an event where every individual is suppose to meet every other individual so I'm trying figure out how to rotate them. My friends s...

How do you simplify this equation: $\dbinom{n}{k}-\dbinom{n-1}{k-1}-\dbinom{n-2}{k-1}$ I simplified it to this: $\dfrac{n!}{k!(n-k)!}-\dfrac{(n-1)!}{(k-1)...