Question

What is the minimum value of f(x,y,z)=y^2-10z subject to constraint x^2+y^2+z^2 =36 ?

What is the minimum value of f(x,y,z)=y^2-10z subject to constraint x^2+y^2+z^2 =36 ?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the indicated maximum or minimum value of f subject to the given constraint. ​Maximum: ​f(x,y,z)...
Find the indicated maximum or minimum value of f subject to the given constraint. ​Maximum: ​f(x,y,z) = (x2)(y2)(z2)​; x2 + y2 + z2 =  6
The function f(x,y,z)= 4x+z^2 has an absolute maximum and minimum values subject to the constraint of...
The function f(x,y,z)= 4x+z^2 has an absolute maximum and minimum values subject to the constraint of 2x^2+2y^2+3z^2=50. Use Lagrange multipliers to find these values.  
Use Lagrange multipliers to find the minimum value of f ( x , y , z...
Use Lagrange multipliers to find the minimum value of f ( x , y , z ) = 2 x 2 + y 2 + 3 z 2 subject to the constraint 2 x − 3 y − 4 z = 49. The minimum value of f ( x , y ) subject to 2 x − 3 y − 4 z = 49 is
Find the relative minimum value of ​f(x,y)=4x2 +4y2 -2xy, subject to the constraint x+y=4. The value...
Find the relative minimum value of ​f(x,y)=4x2 +4y2 -2xy, subject to the constraint x+y=4. The value is f(_,_)= _
Find the indicated maximum or minimum value of f subject to the given constraint. Minimum :...
Find the indicated maximum or minimum value of f subject to the given constraint. Minimum : f(x,y)= 2x2+y2+2xy+3x+2y; y^2=x+1
Find the minimum value of the function f(x,y)=2x+y, subject to the constraint x2+y2=5.
Find the minimum value of the function f(x,y)=2x+y, subject to the constraint x2+y2=5.
The function ​f(x,y)=4x-4y has an absolute maximum value and absolute minimum value subject to the constraint...
The function ​f(x,y)=4x-4y has an absolute maximum value and absolute minimum value subject to the constraint x^2-xy+y^2=9. Use Lagrange multipliers to find these values.
Find the relative maximum value of f(x,y,z)=xyz2, subject to the constraint x+y+5z=6 The Relative Maximum value...
Find the relative maximum value of f(x,y,z)=xyz2, subject to the constraint x+y+5z=6 The Relative Maximum value is f(_,_,_)=_
Let F(x, y)= xy. consider the constraint 2x^2 + y^2 =36. what are the maximum and...
Let F(x, y)= xy. consider the constraint 2x^2 + y^2 =36. what are the maximum and minimum possible values of F given the constraint?
(Lagrange Multipliers with Three Variables) Find the global minimum value of f(x,y,z)=(x^2/4)+y^2 +(z^2/9) subject to x...
(Lagrange Multipliers with Three Variables) Find the global minimum value of f(x,y,z)=(x^2/4)+y^2 +(z^2/9) subject to x - y + z = 8. Now sketch level surfaces f(x,y,z) = k for k = 0; 1; 4 and the plane x-y +z = 8 on the same set of axes to help you explain why the point you found corresponds to a minimum value and why there will be no maximum value.