Question

Find the exact extreme values of the function z = f(x, y) = x^2 + (y-19)^2 + 70 subject to the following constraints x^2 + y^2 <= 225 Complete the following: Fmin=____at(x,y) (__,__) Fmax=____at(x,y) (__,__)

Answer #1

Find the exact extreme values of the function z = f(x, y) =
(x-3)^2 + (y-3)^2 + 43
subject to the following constraints: 0 <= x <= 17
0 <= y <= 12
Complete the following: Fmin=____at(x,y) (__,__)
Fmax=____at(x,y) (__,__)

Find the extreme values of f subject to both constraints.
f(x, y, z) = x^2 + y^2 +z^2; x - y = 1, y^2 - z^2 = 1

Determine the global extreme values of the function
f(x,y)=2x3+2x2y+2y2,x,y≥0,x+y≤1
fmin=
fmax=

Find the maximum and minimum values of the function f(x, y, z) =
x^2 + y^2 + z^2 subject to the constraints x + y + z = 4 and z =
x^2 + y^2 .

Use Lagrange Multipliers to find the extreme values of f(x,y,z)
= x2 + 3y subject to the constraints x2 +
z2 = 9 and 3y2 + 4z2 = 48.

Find the maximum and minimum values of the function
f(x,y,z)=3x−y−3 subject to the constraints x^2+2z^2=324 and
x+y−z=−6 . Maximum value is , occuring at ( , , ). Minimum value is
, occuring at ( , , ).

Find the maximum and minimum values of the function
f(x,y,z)=x+2y subject to the constraints y^2+z^2=100 and x+y+z=5. I
have: The maximum value is ____, occurring at (___, 5sqrt2,
-5sqrt2). The minimum value is ____, occurring at (___, -5sqrt2,
5sqrt2). The x-value of both of these is NOT 1. The maximum and
minimum are NOT 1+10sqrt2 and 1-10sqrt2, or my homework program is
wrong.

f(x,y)=xy ; 4x^2+y^2=8
Use Lagrange multipliers to find the extreme values of the
function subject to the given constraint.

Use the method of Lagrange multipliers to find the extreme
values of f(x,y)=
x^(2) + y^(2) − xy − 4 subject to the constraint x + y = 6.

Find the relative extreme values of the function.
f(x, y) = 3xy − 2x2 − 2y2 + 14x − 7y −
2

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 2 minutes ago

asked 15 minutes ago

asked 18 minutes ago

asked 24 minutes ago

asked 31 minutes ago

asked 34 minutes ago

asked 35 minutes ago

asked 45 minutes ago

asked 47 minutes ago

asked 50 minutes ago

asked 57 minutes ago