SOLUTION: This is a calculus problem.
Consider two integers x and y such that x−y=12. What value of y will minimize x^2+y^2?
Algebra.Com
Question 855951: This is a calculus problem.
Consider two integers x and y such that x−y=12. What value of y will minimize x^2+y^2?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
min{z = 2 (x^2-12 x+72)} = 72 at x = 6
parabola
focus | (6, 577/8)~~(6, 72.125)
vertex | (6, 72)
semi-axis length | 1/8 = 0.125
focal parameter | 1/4
eccentricity | 1
directrix | z = 575/8
RELATED QUESTIONS
This is a calculus problem. Consider two integers x and y such that x−y=12. What... (answered by Fombitz)
calculus. Consider two integers x and y such that x−y=12. What value of y will... (answered by stanbon)
Consider angles x and y such that 0 <_ y <_ x <_ pi/2 and sin(x+y) = 0.9 while sin(x-y) = (answered by ikleyn)
consider the equation x^2+y^2=2007 .how many solutions(x,y) exist such that x and y are... (answered by Edwin McCravy)
consider the equation x^2+y^2=2007 .how many solutions(x,y) exist such that x and y are... (answered by KMST)
If x and y are positive integers such that x=8, what is the maximum possible value of... (answered by Alan3354)
This is a calculus problem. Consider the graph of y= root x. There is some point on this... (answered by Fombitz)
Please help! Could you tell me if I made a mistake in this problem and if I did, where?
(answered by ewatrrr,Theo)
Find all pairs of integers x and y such that
{{{x^2-y^2}}}=... (answered by checkley71)