Find the extremum of f(x,y) subject to the given constraint,
and state whether it is a...
Find the extremum of f(x,y) subject to the given constraint,
and state whether it is a maximum or a minimum.
f(x,y)=(4x^2)+(3y^2)-4xy; x+y=22.Find the Lagrange function
F(x,y,lambda).Find the partial derivatives.
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.
Given the following utility function U(X,Y)=X0.4
Y0.6 subject to the constraint
I=XPx+YPy
find:
a the marshallian demand functions for X and Y
b the indirect utility function
c the expenditure function
d the compensated demand functions for X and Y
e from 1 and 2 establish whether x and y are inferior or normal
goods
f discuss the compensating variation, and distinguish it from
equivalent variation, for a normal and inferior good. give real
life examples
Given f(x,y) =(x3y- 2x2y)
a) find the directional derivative of f(x,y) at (1, 2) in the
direction of <-3,4>
b)find the maximum value of directional derivative at (2,4) and
the direction in which this occurs
Given function f(x,y,z)=x^(2)+2*y^(2)+z^(2), subject to two
constraints x+y+z=6 and x-2*y+z=0. find the extreme value of
f(x,y,z) and determine whether it is maximum of minimum.
Given the plot of y=f(x) below, find
the plot of y=f−1(x).
A coordinate plane has a horizontal x-axis labeled from negative
7 to 7 in increments of 1 and a vertical y-axis labeled from
negative 7 to 7 in increments of 1. A curve starts at the point
left-parenthesis negative 1 comma 0 right-parenthesis, rises at an
increasing rate from left to right and passes through
left-parenthesis 1 comma 1 right-parenthesis and left-parenthesis 4
comma 6 right-parenthesis.
Select the correct...
Given the following vector force field, F, is
conservative:
F(x,y)=(2x2y4+x)i+(2x4y3+y)j,
determine the work done subject to the force while traveling along
any piecewise smooth curve from (-2,1) to (-1,0)