Recent content by Norm850

It's just a programming class, so the question isn't all that relevant. Not exactly sure why he asked us this question, but he did. I was trying to use an online inverse symbolic calculator or something, but I just can't find anything.

It was asked by my professor as HW, but I have looked and looked and can not find anything online... I was wondering if anyone else knew where to look or even how to look? Thanks.

3.5036799918564934004113 I need help identifying this real number. The closest I have gotten is e+pi/4. But I think it has something to do with the Zeta function? Please help. Thanks

So what I have is sufficient for g=f^-1? But first I need to show that f^-1 exists?

Okay, not really sure how to do that but here's my attempt: Suppose g o f = idA, then dom(g o f) = dom(idA) = A and (g o f)(a) = g(f(a)) = idA(a) = a. Suppose f o g = idB, then dom(f o g) = dom(idB) = B and (f o g)(b) = f(g(b)) = idB(b) = b.

Hey guys, I need to prove: Suppose A and B are sets, and f and g are functions with f: A -> B and g: B -> A. If g o f = idA and f o g = idB, then f is invertible and g = f^-1. So far I have understood why g must be the inverse of f, but I do not know how to prove it. Thanks!

f: Z -> Z defined by f(x) = x/2 if x is even, (x-1)/2 if x is odd. Proof: If x is even: x1 = 2k1 x2 = 2k2 Suppose f(x1) = f(x2), then 2k1/2 = 2k2/2 k1 = k2 So if x is even, the function is one to one? Is this an okay proof for the first half of if x is even, then I just do the...

Homework Statement Given the function, state the domain and range. I just want to make sure my notation is correct? More specifically, the I am f, can you have the independent variable in there? Here's my answer: http://tinypic.com/r/2nlda2q/5 Homework Equations The...

Okay so, the critical points are when x' and y' equal zero I believe, so adding the two equations gets -5y - 10 = 0 => y = -2, x = 4. So the critical point is (x,y) = (4,-2). Now for writing the homogeneous equation in matrix form, by using change of variables: x_1 = x x_2 = y x_2 =...

Hey guys, I need to find the equilibrium solution (critical point) for the given system. Also I need to take the homogeneous equation x' = Ax (matrix notation) and find the eigenvalues and eigenvectors. system: x' = -x - 4y - 4 y' = x - y - 6 Can you help? Thanks

A 0.1-kg mass is attached to a spring having a spring constant 3.6 kg/s^2. The system is allowed to come to rest. Then the mass is given a sharp tap, imparting an instantaneous downward velocity of 0.4 m/s. If there is no damping present, find the amplitude A and frequency ω of the resulting...