Recent content by magorium

Since f(x,y,z)=c is a level surface , it's gradient is explicit i see. Thanks for the answer. The real problem is , our Calculus teacher said "You will not need level curves and level surfaces so i am not going to teach them" and passed out them completely. (Yeah pretty awkward.) So that's why...

Homework Statement Find the gradient vector of surface z=(x^2) * (y^3) at A(1,1). Homework Equations The Attempt at a Solution I am confused with book's solution. Books solution is : f(x,y,z) = (x^2) * (y^3) - z grad(f) = < 2x(y^2) , 3(y^2)(x^2) , -1 > at A(1,1) =...

Homework Statement We have a surface z^2 = 4x^2 + 2yx + 5y^2 , find the shortest distance to Origin. Homework Equations The Attempt at a Solution My trouble is , i think z^2 - 4x^2 + 2yx + 4y^2 = 0 as a constraint to function L = x^2 + y^2 + z^2 (Square of distance...

algebrat you are right about that. Thanks for it. det(A)=0 actually comes from Cramer Rule for me. Since for finding the first unknown we use the special determinant for it divided by det(A) so since det(A) is 0 , that creates a uncertainty which avoids us finding a trivial solution. That's how...

Homework Statement Show that , the maximum value of function f(x,y) = x^2 + y^2 is 70 and minimum value is 20 in constraint below. Homework Equations Constraint : 3x^2 + 4xy + 6y^2 = 140 The Attempt at a Solution Book's solution simply states the Lagrange rule as ...

I am also wondering the answer of this question. And yes I know these topics you posted Klockan. Also have a little Calculus 1 knowledge. what math skills you can offer me to work on ?

Well if you cannot understand the Quantum Physics , don't be sorry for that because nobody does :) Feynman says that , there are lots of Physicists that understood the General Relativity , but not any of Physicists understood Quantum including himself. So don't struggle to understand it :)...

Well your basic Maths should be good. Like mostly we use ; Numbers Functions Equations and Non-Equations Quadratic Equations also maybe mostly the College maths. But I believe these will be shortly re-told to you by your teacher at the beginning of the Calculus 1 for making you remember...

First of all , I'm glad I found this forum while searching the mathematics of string theory. I want to directly tell you my problem. Well ; I have two ambitions in my life and one is Theoretical Physics. It is a bit more like a passion. In my country , high school education divides into three...