Recent content by hungryhippo

Homework Statement given a function defined by f(x,y) {= |xy|^a /(x^2+y^2-xy), if (x,y) cannot be (0,0) and = 0, if (x,y) = (0,0) Find all values of the real number a such that f is continuous everywhere e= epsilon d= delta In order to prove this, I know I need to do an...

Given a parametric equation of a curve, how would you show that it is contained in a plane? In 3-D space, a plane is defined by a point, and a vector that is orthogonal to the plane. For this question type, you're only given the parametric equation. How I would appraoch this problem...

How would you approach a question where you're given a curve in terms of a scalar equation, and asked to find the orthogonal projection of this curve in the yz-plane You know that the curve is the intersection of the surfaces of: x=y^2+z^2 --1 x-2y+4z=0 --2 From here, I would just...

Hey, I don't think we're suppose to use the Wolfram alpha application. I asked my prof, and he said there was an "easy" way to simplify, although I have failed to find one yet.

I'm not sure about this question, but from what I was told, you have to use identities and manipulation in order to get it into a form that substitution is possible...

Homework Statement Find the arc length of the function f(x) = x(sqrt(x/2-x) from 0 to x Integral forms involving a+bu --> integral [sqrt(a+bu)]/u^2du Homework Equations Arc Length = integral sqrt(1+(f'(x))^2)dx The Attempt at a Solution First, I took the derrivate f'(x) =...

Homework Statement Integrate 1/sqrt(cos[2x]) from theta prime to pi/4 Homework Equations Your basic trig identities: cos[2x]= 2cos^2[x]-1 = 1- 2sin^2[x] = cos^2[x]-sin^2[x] sin^2[x]+cos^2[x] = 1 sin[2x] = 2sin[x]cos[x] Apparently, you're supose to manipulate so that you can do a...

Hey mapes, thanks for the clear up. lols I got how to do the question now :) I had to check with the teacher that it was an ideal gas and a reversible process

Hey thanks for the warm welcome mapes :) For part a, even though I wasn't given dq, I thought I could look up the specific heat capacity at constant pressure, to find the change in temperature. As for the ideal gas, I'm still not very sure on that...I guess i'll have to ask for clarification...

Homework Statement Given the following case, how would I calculate work? Volume initial = 10 cubic metres Mass = 8 kg of O2 Temperature initial = 300 K Volume final = 5 cubic metres a) Work at constant pressure? What is the temperature? b) Work at constant temperature? What is the...