Suppose f(x,y)=(x−y)(16−xy).f(x,y)=(x−y)(16−xy). Answer the following. 1. Find the local maxima of f.f. List your answers as...

Suppose f(x,y)=(x−y)(16−xy).f(x,y)=(x−y)(16−xy). Answer the following.

1. Find the local maxima of f.f. List your answers as points in the form (a,b,c)(a,b,c).
Answer (separate by commas):

2. Find the local minima of f.f. List your answers as points in the form (a,b,c)(a,b,c).
Answer (separate by commas):

3. Find the saddle points of f.f. List your answers as points in the form (a,b,c)(a,b,c).
Answer (separate by commas):

Expert Solution

milcah answered 2 years ago

1. Find the local maxima of the function: (1) f(x,y) = xy, subject to the constraint...

1. Find the local maxima of the function: (1) f(x,y) = xy, subject to the constraint that x+y-1=0. Result should be 1/4. 2. Find the local minima of the functions: (1) f(x,y) = x^2+y^2, subject to the constraint that xy-3=0. Result should be 6. (2) f(x,y) = x^2+4xy+y^2, subject to the constraint that x-y-6=0. Result should be -18.

Find and classify the local extrema of the function f(x,y) = (x^3)y+12(x^2)+16(y^2).

1. Find absolute max and min of f(x,y)= x^2- xy + y^2 +1 on the closed...

1. Find absolute max and min of f(x,y)= x^2- xy + y^2 +1 on the closed triangular plate in the first quadrant x=0, y=4, y=x 2. Given position of a particle by π (t)= Cos2ti + 3 sin2ti, Find the particle velocity and acceleration at t=0

For the function f(x)=x4-4x3 , find the following: local minima and/or maxima (verify) inflection point(s) (verify)

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 − 2x2 − 4x + 4, [−1, 3] absolute maximum (x, y) = absolute minimum (x, y) = 2. f(x) on the interval [a, b]. f(x) = x3 − 3x2 − 24x + 8, [−3, 5] absolute minimum (x, y) = absolute maximum (x, y) =

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 − 2x2 − 4x + 4, [−1, 3] absolute maximum (x, y) = absolute minimum (x, y) = 2. f(x) on the interval [a, b]. f(x) = x3 − 3x2 − 24x + 8, [−3, 5] absolute minimum (x, y) = absolute maximum (x, y) =

Question

Suppose f(x,y)=(x−y)(16−xy).f(x,y)=(x−y)(16−xy). Answer the following. 1. Find the local maxima of f.f. List your answers as...

Solutions

Expert Solution

Related Solutions

1. Find the local maxima of the function: (1) f(x,y) = xy, subject to the constraint...

Find and classify the local extrema of the function f(x,y) = (x^3)y+12(x^2)+16(y^2).

1. Find absolute max and min of f(x,y)= x^2- xy + y^2 +1 on the closed...

For the function f(x)=x4-4x3 , find the following: local minima and/or maxima (verify) inflection point(s) (verify)

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Given the joint probability density function f(x ,y )=k (xy+ 1) for 0<x <1--and--0<y<1 , find...

Find the absolute maximum and minimum values for the function f(x, y) = xy on the...

Find the equation of the plane tangent to the function f(x, y) = (x^2)(y^2) cos(xy) at...

Find the relative maximum and minimum values. f(x,y)=x^2+xy+y^2−10y+3