A geometric series has a first term $\sqrt{2}$ and a second term $\sqrt{6}$ . Find the 12th term and the sum of the first 12 terms. I can get to the answe...

I know that A V B represents Logical disjunction which means A OR B and the result of it is false only when both A and B are false . But I still didn'...

If we're given: $$\dot{x}=-x+y$$ $$\dot{y}=xy-1$$ How do I draw a phase portrait of this system? I don't understand which direction the arrows a...

Consider a solid with the following properties - It is composed of congruent, regular polygons. At each vertex, the same number of edges and faces meet. T...

A cylindrical tank with radius 5 cm is being filled with water at rate of 3 cm^3 per min. how fast is the height of the water increasing? I dont want this...

Sorry if my title was vague but i was not entirely sure what its called. Anyways i was solving some work and energy problems and encountered this integrat...

In number theory we have so-called explicit formula's in terms of the Riemann zeta zero's. For instance to count the sum of the logarithms of th...

I'm reading through this proof of the deduction theorem, and there are a few things I don't understand. The basic idea is to show that if $\Gamm...

Is there an equation for the high density curves in the chaotic regions of the bifurcation diagram for the logistic map? I'm talking about the sinuso...

I want to maximize $f(x,y,z)=x+y+z$, according to the constraints $g_1(x,y,z)=x^2-y^2-1=0$ and $g_2(x,y,z)=2x+z-1=0$ . So I get $5$ equations using lagran...