Recent content by RyanV

Oh sorry. What would have been a better choice of verb? Thanks a lot guys, I believe I managed to get it now. Worked it out to be loge (2) + \frac{1}{8} = 0.8181 Hopefully that's right =)

I got fyy = -2 This was from fyy = \frac{12y^2( 1 + x^2 + y^4 ) - 16y^2}{(1 + x^2 + y^4 ) ^2} and since at point (0,1), fyy = \frac{12 (1)^2( 1 + (0)^2 + (1)^4 ) - 16 (1)^2}{(1 + (0)^2 + (1)^4 ) ^2} fyy = -2 Isn't it? Unless I stuffed up the Taylor polynomial part somewhere...

Homework Statement Determine the order two Taylor polynomial, p2(x, y), for f(x, y) = log e (1 + x2 + y4) about point (0, 1) ANSWER: loge (2) + 2y - 2 + \frac{1}{2} [ x2 - 2y2 + 4y - 2 ] Managed that question and should be correct. If not, do let me know =) Part 2: Using...

Ooo, I see now. I think I managed to confuse myself by using how for eq (1), since x = 0, 1-x2-3y2=0 1 - 3y2 = 0 which is definitely not looking good in terms of the answers. But I understand now =) One last thing, so for the 4th solution: (4) 1-x2-3y2=0, 3-x2-3y2=0. There...

Ohh...I see... I feel so silly >< Thanks a lot for that. If I may, I have another question regarding maxima and minima... Homework Statement Find local minima, maxima and saddle points of the function: f(x, y) = (x2 + 3y2) e1-x2-y2 I started off finding the partial...

Homework Statement Find the extrema of the function subject to the given constraint. f (x, y) = x x2 + 2y2 = 3 Homework Equations det = fxx * fyy - (fxy)2 If det > 0, fxx < 0 \Rightarrow MAXIMUM fxx > 0 \Rightarrow MINIMUM If det < 0, \Rightarrow SADDLE POINT If...

ahh, I see. thanks...that part of the question does make sense now. But I'm still unsure of the drawing of the lines...If you have a look at the lines that are drawn in the answer, how did they come to that? I'm thinking of the basis that was given, but from where I stand, it only explains the...

Homework Statement In the xy-plane, sketch the coordinate system [ a; b] corresponding to the basis { (1, 1 ) , (1, -1) } by drawing the lines a = 0, \pm1 and b = 0, \pm1. What point in the xy-plan corresponds to a = 1, b = 2?Homework Equations Not sure of any in this caseThe Attempt at a...

No worries anymore, I've managed to solve it. =)

I'm not too sure how you would go about finding the sum of the moment at the point of intersection...Is it possible because there are no lengths given to us at all. Only angles. I've tried it again using the reaction forces (NA/NB) of beam A and B perpendicular to the beams instead of what I...

Homework Statement There are two collars hanging on a vertical frame made up of two smooth rods (see attached for figure). If the mass of collar A is 8 kg and the mass of collar B is 4 kg, determine the equilibrium angle \alpha and the tension in the cable between the collars. Homework...

Homework Statement Prove that if V and W are three dimensional subspaces of R5, then V and W must have a nonzero vector in common. Homework Equations NA The Attempt at a Solution I've attempted to set up the problem by writing out, V = { (1, 0, 0, 0, 0), (0, 1, 0, 0, 0), (0, 0...