A parabolic satellite dish has a cross section that can be modelled by the equation $$y = 0.05\,x^2.$$ While still in the shipping yard, the dish fills wi...

In Tomas Bjork's Arbitrage Theory Continous Time (2009), Proposition 21.20 claimed that, in discrete time, the (pointwise) infinum of an arbitrary fa...

Possible Duplicate: Proof that there are infinitely many prime numbers starting with a given digit string Let n be the representation of a natural number ...

I want to determine the length of an arc from the ellipse in the picture below: How can I determine the length of $d$?

I am trying to understand the relationship between differentiation and integration. Differentiation has been introduced to me by this diagram: Which displ...

I am from Taiwan (ROC). When I was in elementary school, as I remember, instructors and textbooks notated division (of real numbers, for sure) as "÷", whi...

Let's say that we are given the following image which $r(x)=2\sqrt{x}$ and we want to know the volume of the solid whose cross section taken perpendi...

I have been following a rule saying that $$\int{\frac{1}{a^2+u^2}}dx = \frac{1}{a}\tan^{-1}(\frac{u}{a})+c$$ The question is asking for the interval of $$...

I derive the answer G by randomly choosing four integers multiple times, which is a bit time-consuming for ACT Math. Could anyone offer me a quicker metho...

Suppose I have the 2's complement, negative number 1111 1111 1011 0101 (0xFFBB5). How can I represent this as a decimal number in base 10?