Showing that four stationary points of a multivariable function are at specific points.
A surface is described by the multivariable function f(x,y) where: f(x,y) = x^3 + y^3 + 9(x^2 + y^2) + 12xy a) Show that the four stationary points of this function are located at: (x1, y1) = (0, 0) (x2, y2) = (-10, -10) (x3, y3) = (-4, 2) (x4, y4) = (2, -4)
We are learning Rolle, Lagrange, Fermat, Taylor Theorems in our Real Analysis class. We just finished continuity and are now studying differentiation. We are using the books by Rudin, Ross, Morrey/Protter. ****************************************************** Let f: [a,b] --> R, a < b, twice differentiable with the second der ...continues
Based on the Rolle, Lagrange, Fermat and Taylor Theorems. ****************************************************** Let f: [a,b] --> R, a < b, twice differentiable with the second derivative continuous such that f(a)=f(b)=0. Denote M = sup |f "(x)| where x is in [a,b] and g:[a,b] --> R, g(x)=(1/2)(x-a)(b-x) i) Prove ...continues
We are learning Rolle, Lagrange, Fermat, Taylor Theorems in our Real Analysis class. We just finished continuity and are now studying differentiation. We are using the books by Rudin, Ross, Morrey/Protter. ****************************************************** Let f: [a,b] --> R, a < b, twice differentiable with the second d ...continues
We have learned Rolle, Lagrange, Fermat, Taylor Theorems in our Real Analysis class and we have finished differentiation. We just started integration. In this problem we are not supposed to use any material we haven't learned, ie integration. We are using the books by Rudin, Ross, Morrey/Protter. **************************** ...continues
We have just finished up integration and are done with a first course in analysis, chapters 1-6 of Rudin. We are also using the Ross and Morrey/Protter book. Please answer question fully and clearly explaining every step. Any solution short of perfect is useless to me. So if you are not 100% sure whether your answer is right, ...continues
We have just finished up integration and are done with a first course in analysis, so chapters 1-6 of Rudin. We are also using the Ross and Morrey/Protter book. Please answer question fully and clearly explaining every step. Any solution short of perfect is useless to me. So if you are not 100% sure whether your answer is right, ...continues
I need a correct and concise solution. Leave me an email address so that I can email you with questions if I don't understand something in your solution. We just finished integration and are done with a first course in analysis, i.e. chapters 1-6 of Rudin. We are also using the Ross and the Morrey/Protter book. The P ...continues
I need a correct and concise solution. If the answer is not 100% correct, I will ask for my money back! We just finished integration and are done with a first course in analysis, i.e. chapters 1-6 of Rudin. We are also using the Ross and the Morrey/Protter book. The Problem: f : R --> R , f ' ' ' ' continous. ...continues
Rewrite the function f(x)=x^2+13/3 x+7/3 in the form f(x)=(x+13/6)^2+ c Then need to find the vertex of parabola as the graph of f, finding the y and x intercepts. Find the fixed points of f state whether they repel, attract or are indifferent. Using a gradient, find the interval of attraction for one of the fixed ...continues
