Recent content by Ultramilk

Well, this is weird. It's not letting me edit my problem. But here's the latest update to what I have done. Well I "cheated." But I substituted s for f(x). So instead of ^{1}_{0}∫ ^{y}_{0}∫ ^{z}_{0}∫ f(x) dx dz dy it's ^{1}_{0}∫ ^{y}_{0}∫ ^{z}_{0}∫ s dx dz dy that way I...

Homework Statement Let f be continuous. Show ^{1}_{0}∫ ^{y}_{0}∫ ^{z}_{0}∫ f(x) dx dz dy = \frac{1}{2} ^{1}_{0}∫ (1-x)^{2} f(x) dx Hint: Use Fubini to rewrite the left expression into an iterated integral which ends in dx. Homework Equations Fubini's Theorem: ∫∫∫_{B} f(x,y,z) dV =...

Oh I'm sorry. I meant to have that as a want. The definite integral of e^{-x} over the interval [0,∞) is -e^{-∞} + e^{0} or 1, and the same thing for e^{-y}.

1. Homework Statement Let functions f(x,y) with the following properties be defined as Probability Density Functions: a) f(x,y) ≥ 0 for all (x,y) b) ∫ℝ2 f dA = 1 (the ℝ2 is a subscript of the integral) x and y are called independent random variables. a) Show f(x,y) = { 1/4xy 0≤ x,y ≤ 2 ; 0...

y= x (e^1/x) Think about the two components. If x -> -∞ x -> -∞ e^(1/x) -> 1 (1/-∞) ~ 0, e^0 = 1

Oh wow that worked :O

So I kept trying it, and looking up guides to graph said equation in the end I got: T(x,t) := 10 exp(-.2 *x)*sin(omega*t+.2*x); plot3d(T(x, t), x = -10 .. 10, t = 0 .. 10, axes = framed, orientation = [-20, 20]) I don't think I need too many lines of code to graph it, but I keep getting a...

1620sqrt(x)/x - formula for how much each item is worth when sold 40x - the cost of every item produced 12200 - overhead p(x) = 1620sqrt(x)/x - 40x - 12200 1620sqrt(x)/x should be positive as you're making money, and the other two should be negative because you're spending it to start up. So...

Then the lines only differ by a constant -t. If you remember the equation of a line.

Homework Statement Graph T(x,t) = T1e^(lambda*x)sin(wt-lambda*x) in Maple lambda = -.2 T1 = 10 omega = constant Homework Equations Maybe heat equation ut(x,t) = uxx(x,t) The Attempt at a Solution I'm really unsure on how to graph a multiple variable function/equation in Maple. I...