z=3x^2+2y^2-xy-4x-7y+12
Find the extreme values; determine whether the function is at
maximum, minimum, then evaluate the...
z=3x^2+2y^2-xy-4x-7y+12
Find the extreme values; determine whether the function is at
maximum, minimum, then evaluate the critical values for the
following function:
1. a. Find the relative maximum and minimum values of f(x, y) =
(3x^2) − (2y^2) b. Find the relative maximum and minimum values of
f(x, y) = (x^3) + (y^3) − 6xy . The expression that you may need D
= fxx(x0,
y0)fyy(x0, y0) −
(fxy(x0, y0))2
Find the maximum and minimum values of the function
f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and
x+y−z=9. Maximum value is Maximum value is , occuring at
( , , ). Minimum value is , occuring at ( , ,
).
2. Find the maximum value of the objective function z = 4x + 6y
where x ≥ 0 and y ≥0, subject to the constraints
a. −x + y ≤ 11
b. x+ y ≤ 27
c. 2x+ 5y ≤ 90
please do a detailed graph so i can understand better.
1. Find the derivative.
f(x) = x6 ·
3x
2. Find the absolute maximum and
minimum values on the closed interval [-1,8] for the function
below. If a maximum or minimum value does not exist, enter
NONE.
f(x) = 1 − x2/3
3. Find the derivative.
f(x) = x5 ·
e6x
Consider the following.
f(x) = -19ln(84x)
Compute f '(x), then find the exact value of
f ' (3).
a.Find the absolute maximum and minimum for z=xy-x-y/2 over the
region bounded by y=x^2 and y=3x;
b. Find the critical points and critical values for
z=x^2+2y^2-2xy+3x+y+3.