Mini Max
0
Posted by admin | Posted in archery | Posted on 07-05-2010
Tags: apple, howto, mac, mini max, mini max aircraft, mini max brooklyn, mini max usa, mini maxx, osx, software
 |
 VORTEX MINI MAX BROADHEAD REPLACEMENT BLADES ARCHERY ARROW 6 125 BLADES NIPKG $12.99 Time Remaining: 28d 20h 58m Buy It Now for only: $12.99 |
 Marden Mini Max 3 100 Grain 2 Broadhead 3 Pk $22.49 Time Remaining: 24d 12h 2m Buy It Now for only: $22.49 |
 Marden Mini Max Solids 100 Grain 2 Cut Broadhead 3 Pk 1980 90Y $25.99 Time Remaining: 2d 15h 2m Buy It Now for only: $25.99 |
 Marden Mini Max Solids 100 Grain 2 Cut 3 Pack $24.99 Time Remaining: 18d 10h 33m Buy It Now for only: $24.99 |
 Marden Safety O Rings For Mini Max 75 100 Grain 12 PK $2.99 Time Remaining: 7d 16h 11m Buy It Now for only: $2.99 |
 Marden Mini Max Steel 75 Grain 1 1 2 Cut Broadhead 3 Pk X001 4 $23.99 Time Remaining: 2d 15h 21m Buy It Now for only: $23.99 |
 Mathews FX bow minimax bow string Mathews Bow new Mathews Tiger Twist ZS $15.00 Time Remaining: 6d 14h 13m Buy It Now for only: $15.00 |
 Marden Mini Max Steel 100 Grain 1 1 2 Cut 3 PACK $27.99 Time Remaining: 16d 10h 25m Buy It Now for only: $27.99 |
 Marden Mini Max Steel 75 Grain 1 1 2 Cut 3 PACK $26.05 Time Remaining: 7d 7h 26m Buy It Now for only: $26.05 |
 Marden Mini Max Steel 125 Grain 1 1 2 Cut 3 PACK $24.49 Time Remaining: 2d 9h 3m Buy It Now for only: $24.49 |
 Marden Split Rings For Mini Max 3 12 Pk $2.99 Time Remaining: 13d 11h 16m Buy It Now for only: $2.99 |
 Marden Safety O Rings For Mini Max 3 125 Grain 12 pk $2.99 Time Remaining: 24d 12h 8m Buy It Now for only: $2.99 |
 MATHEWS MINI MAX CAM FFL LEFT HANDED $55.00 Time Remaining: 5d 23h 45m Buy It Now for only: $55.00 |
 Mar Den Mini Max 3 125 gr Expandable Broadhead Safety O Rings New Pack $5.99 Time Remaining: 5d 36m Buy It Now for only: $5.99 |
 Marden Safety O Rings 011 For Mini Max 3 125 Grain 12 Pk X092 103 $2.99 Time Remaining: 3d 12h 37m Buy It Now for only: $2.99 |
 Marden Safety O Rings For Mini Max 75 100 Grain 12 Pk PK008 X039 55 $2.99 Time Remaining: 3d 12h 7m Buy It Now for only: $2.99 |
 Marden Split Rings For Mini Max 3 12 Pk PKBR001 X079 91 $2.99 Time Remaining: 3d 12h 29m Buy It Now for only: $2.99 |
 Marden Mini Max 3 80 Grain 2 Broadhead 3 Pk 1994Y $27.99 Time Remaining: 2d 15h 3m Buy It Now for only: $27.99 |
How to find max and min values?
Find the maximum and minimum values of f(x,y) = x^2 + y^2 subject to the constraint x^4 - y^4 = 1.
I attempted this question and got that the answer should be f(1,0) and f(-1,0) which both equal to 1. Thinking about the 2 functions in 3D, wouldn't it be equal to 1 for every other point as it is a plane? There is is no max and mini values?
f(x,y) = x^2 + y^2
x^4 - y^4 = 1
x^4 = y^4 + 1
x^2 = (y^4 + 1)^(1/2), -y^4 + 1)^(1/2)
f(x,y) = (y^4 + 1)^(1/2) + y^2
f' = (1/2)(y^4 + 1)^(-1/2)(4y^3) + 2y
(1/2)(y^4 + 1)^(-1/2)(4y^3) + 2y = 0
(y^4 + 1)^(-1/2)(y^3) + y = 0
(y^4 + 1)^(-1/2)(y^3) = -y
y^3 = -y(y^4 + 1)^(1/2)
y^6 = y^2(y^4 + 1)
y^6 = y^6 + y^2
y^2 = 0
y = 0
x^4 = y^4 + 1
x^4 = 1
x = 1, -1
Tom's Mini-Max