CalcIII extreme values and saddle points

  • Thread starter Thread starter chronie
  • Start date Start date
  • Tags Tags
    Points
chronie
Messages
23
Reaction score
0

Homework Statement



http://img121.imageshack.us/img121/4601/54510849.png

The Attempt at a Solution



I separated the partial derivatives. However I do not know how to solve a linear function with a raised power. I know that I will have to solve for (0,0) and another answer. Yet, I just do not know how to solve for that power. Technically I can graph the functions but I cannot use a calculator in my clac class. If anyone can help me out that would be great.
 
Last edited by a moderator:
Physics news on Phys.org
I would solve the Fx equation for y and then substitute the y value into the Fy equation, and vice versa.
 
oh I totally forgot about substitution. Thank you!
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Understanding Fixed Points in Hamiltonian Systems
Replies
2
Views
2K
How do I solve systems of equations to find local max, min, and saddle points?
Replies
2
Views
2K
Parabola: Vertex =(?,0) and know 2 arbitrary points. How solve x?
Replies
12
Views
2K
Finding Local Max and Min values and saddle in mult. Calculu
Replies
1
Views
2K
Classifaction of equilibrium points for a Hamiltonian System
Replies
4
Views
2K
Using Green's Theorem for a quadrilateral
Replies
3
Views
2K
Surface Area of a Sphere in Spherical Coordinates
Replies
14
Views
2K
Local Max/Min and saddle points
Replies
9
Views
5K
Finding Saddle point for a function
Replies
6
Views
3K
Finding the local extrema or saddle points of a function
Replies
3
Views
3K

Hot Threads

Recent Insights

Back
Top