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?

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 858571: 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 Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Substitute,

.
.

Take the derivative of L with respect to y and set it to zero.

Then,

RELATED QUESTIONS
This is a calculus problem. Consider two integers x and y such that x−y=12. What... (answered by richwmiller)

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)