12. (4 points) Find all locations and values of the local maxima and minima and location...
1. Find all local maxima, local minima, and saddle point ima, local minima, and saddle points of the following functions. f(x, y) = 27° +2y3 - 9x2 + 3y - 12y
Find all the local maxima, local minima, and saddle points of the given function.f(x,y)=x²+xy+y²+6x-6y+7Select the correct choice below and fill in any answer boxes within your choice.A. There are local maxima located atB. There are no local maxima.A. There are local minima located atB. There are no local minima.A. There are saddle points located at
Find all local maxima, local minima, and saddle points for the function given below. Enter your answer in the form (x, y, z). Separate multiple points with a comma.f(x,y)=2x-2x²+2xy-y²-6
13.7.7 Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2x² + 3xy + 4y? – 5x + 2y Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at (Type an ordered pair.Use a comma to separate answers as needed.) The local maximum value(s) is/are. (Type an exact answer. Use a comma to separate answers as needed.) B. There are no...
only for part e A) Unconstrained optimization: 1) Find the local maxima, local minima and saddle points of the following functions: a)f(x, y)=x²+ y2+2x–6 y+6 b)f(x,y)=(x-1)2-(y-3)? c)f(x,y)=x2-y2–2x-4 y-4 d)f(x,y)=2xy-5x²-2y +4x+4y-4 e)f(x,y)=e(x²+y?)
Find and classify the critical points of these functions (that is, are they local maxima, minima, saddle points, or points where the function is not differentiable) (a) h(x, y) = (12-2) (b) k(x,y) = sin(I) cos(y), with the domain {(1,y) |+ y2 < 4}.
Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 2x + 2y + 1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at _______ (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are _______ (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local maxima.
3. Find all local maxima, local minima and saddle points of the graph of f(x, y) 2x4-x2 + 3y2.
Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2 - 4xy + y2 + 6y +1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The loal maximum value(s) is/are (Type an exact answer. Use comma to separate answers as needed.) OB. There are no local...
Let f(x,y)=1+x2−cos(5y). Find all critical points and classify them as local maxima, local minima, saddle points, or none of these.