Recent content by engin

I have thought of it as uniform distribution, too, without taking into account the technical problem that might occur with the infinite number of possibilities. I didn't take the probability and random variables at the university so i don't know what random actually means here but i doubt the...

Homework Statement We are using a drawing program in computer and we place x number of identical equilateral triangles(of same length of edges) randomly. So whenever we choose a triangle on the screen randomly(each has an equal number of possibility of being selected), we can slide the other...

Yes, i know that the limits of integration change. For rho = 0, tan(theta) = 0 but for rho = N, tan(theta) = ? I am a little confused there and passing to the limit. Can you help me with this?

Homework Statement Discuss the convergence of the integral 1/[x^2 + y^2 + z^2 + 1]^2 dxdydz in the whole space. Homework Equations The Attempt at a Solution Since the space is unbounded, the integral is an improper integral so we can consider a sphere with radius N and take...

We have n bulbs (B_1,B_2,...,B_n) and n buttons(b_1,b_2,...,b_n) connected to each other with a box. Whenever we switch a button, the condition of the bulb which is connected to the button changes;that is, if it was ON before, now it is OFF, or vice versa. We know that each b_i button -...

Pardon, the substitution is of course u = x^3/3 - x but i have found the integral 0. The answer in the worksheet is different though.

(Double integral on D) sin[((x^3)/3) - x] dxdy = ? where D={(x,y): 1<=y<=4 , sqrt(y)<=x<=2 }. Okay, we change the order of integration and then we get (Double integral on D') sin [((x^3)/3) - x] dxdy where D'={(x,y): 1<=x<=2 , 1<=y<=(x^2). Thus, we get the one variable integral...

Show that if f is defined on a rectangle R and double integral of f on R exists, then f is necessarily bounded on R.