Recent content by elfy

Hey dynami, and thanks for your help! I'm afraid I am not as confident as you are when it comes to shapes in the xy plane so I don't think I have a chance of "seeing" what you just described without actually plotting the graphs manually on a piece of paper hehe. However, what you just...

Homework Statement Find the stationary points of the function: z = ax^2 + by^2 + c For each of the following sub-cases, identify any maxima and minima. i) a > 0, b > 0 ii) a < 0, b < 0 iii) a and b of opposite signs.Homework Equations z = ax^2 + by^2 + cThe Attempt at a Solution Z'(x) = 2ax = 0...

oh yeah, that was a silly mistake by me, should have seen it's +8 and not - hehe. Thank you very much for your time and effort to help me out mate, I really appreciate it!

hey mstud - no worries at all! Now I learned 2 new things even though I just asked for 1 ;) Ok, after reading your post and the wikipedia page i tried to solve it: x = 2 (infliction point found earlier) y = f(2) + f'(2)(x-2) --f(2) = 2^4 -6(2^3) + 12(2^2) - (8*2) = 0 --f'(2) =...

Thanks a bunch mate! That definitely helped! But how is that "an equation" as y' will equal 0 at x=2 and equal 2 at x=1? Isn't that just numbers ;) I thought you had to find some type of equation in the sense (x + y...). English is not my first language so sometimes when I'm doing maths in...

Homework Statement x^4 - 6x^3 + 12x^2 - 8x a) Find all points of infliction of this function b) Sketch the function and identify all convex and concave portions of the curve c) Find the equations of the slopes at each point of infliction Homework Equations x^4 - 6x^3 + 12x^2 - 8x...

Thanks for clearing that up! :) I really appreciate all the help and guidence you have given me! Thanks for your time and effort!

Ahh that makes sense - Thanks! :) So you are allowed to alter the equations (for instance in B) solving for Y, yields the same equation)? I initially thought that you had to just look at them without doing anything, and just be able to see how many solutions there were hehe

Sorry, my bad! The two lines run parallell to each other, intersecting Y at 1 and 10, thus there is no solution! is that correct? :) It was not my intention to guess, I just got it wrong last night hehe. However, it says "without attempting to solve the equations" but I need to draw the...

First of all - Thank you for your time and help! Trying to determine the number of solutions based on what you explained, I think that B) is the same line. Although I'm not sure if I cheated because although I did not solve anything, I just saw that if you solve the second equation wrt Y, you...

Homework Statement For each of the following equations, without attempting to solve them, determine whether there exists (1) a unique solution, (2) no solution or (3) an infinite # of solutions Homework Equations A) x+y =1 , x=y B) y=x/2 - 1 , 2y = x-2 C) x+y = 1, x+y = 10 The...