Recent content by orangesun

Hi I was just wondering when do we use the different variations of the General Fourier, Fourier Sine Transform, Fourier Cosine Transform, and Laplace Transforms. I missed my lecture and I overheard that apparently there needs to be specific boundary conditions or initial conditions which...

Hi Jack Mell, I was just wondering if you could lead on with maybe a few more steps in evaluating this? Thankyou :)

Thanks for your reply, I'll give it a shot now. x,y 1 2 3 1 2c 5c 10c 2 5c 8c 13c 3 10c 13c 18c is this right so far? if so, then is it just 83c = 1? c=1/84 i hope it is...

Homework Statement Hi, if you could offer help to any of these questions, it would be great, i was unable to attend my lectures this week and I had no idea how to do these. The joint pmf of x and y is p x,y = c(x^2 + y^2) x,y = 1,2,3 Find: a. c and the marginal pmfs of x and y b. e(x)...

hi, my sister came to me with this problem today, and i was stumped to believe this is 'year 8/9' work, but nevertheless, could you please provide me with a path, been trying to solve this for her for ages! Homework Statement p = $1.60 each, p = 40c each and a = 70c each. At the shop...

I know what it is for a 1 variable equation, but for a 2 variable equation I am a bit stumped. is it where you have to replace Q(x,y) with x=a+h y=b+k ?

thanks heaps for that lane dance! I didnt know where to start but I managed to get an answer...for both dT/dt and dT/dx and just derive dt/dx again to get d^2T/dx^2 I just need a bit of help now with the second part, how would you use the taylor approximations for that

I understand that, but I just don't know how you would even begin tackling this question. How would you even be able to take the derivative of that function?

Homework Statement storage of heat, T at time, t (measured in days) at a depth x (measured in metres) T(x,t)=T0 + T1 e^{-\lambda} x sin (wt - \lambdax) where w = 2pi/365 and \lambda is a positive constant show that \deltaT/\deltat = k \delta^2 T / \deltax^2Derive the second order Taylor...

Homework Statement consider z = f(x,y) where x= r cos \theta and y = r sin \theta by reartranging the question, obtain the inverse relationship r(x,y) and \theta (x,y) and show that: \deltar / \deltax = cos \theta, \deltar / \deltay = sin \theta \delta\theta / \deltax = -1/r sin\theta...

Homework Statement A right circular cone has height 6 cm and base radius 2. It is over-filled with ice cream, in the usual way. Place the cone so its vertex is at the origin, and its axis lies along the positive y–axis, and take the cross-section containing the x–axis. The top of this...

Homework Statement a) Solve the differential equation dy/dx = x(y2+3)/y b) Find the unique function y(x) satisfying the differential equation with initial condition dy/dx = x2y, y(1) = 1 Homework Equations The Attempt at a Solution With question a) I am no entirely sure but...

Homework Statement A glass vase has the shape of the solid obtained by rotating about the y–axis the area in the first quadrant lying over the x–interval [0,a] and under the graph of y = \sqrt{x} Determine how much glass is contained in the vase. Homework Equations y = \sqrt{x}...

Homework Statement A right circular cone has height 6 cm and base radius 2. It is over-filled with ice cream, in the usual way. Place the cone so its vertex is at the origin, and its axis lies along the positive y–axis, and take the cross-section containing the x–axis. The top of this...