Find the local maximum and minimum values and saddle point(s) of the function. If you have three - dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.

$$f(x, y) = x^3 - 3x + 3xy^2$$

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.f(x,y)=e^xcosy

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. f(x,y)=xy-2x-2y-x^2-y^2

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function f(x,y)= (x-y)(1-xy)

Find the local maximum and minimum values and saddle point(s) of the function. If you have three -dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.

$$f(x,y ) = x2 + y4 + 2xy$$

Find the absolute maximum and minimum values of f on the set D. f(x,y)=xy^2, D={(x,y)| x>=0, y>=0, x^2+y^2<=3}

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.

$$f(x, y) = x^2-xy+y^2+9x-6y+10$$

Find the local maximum and minimum values and saddle point(s) of the function f(x,y) = 6 − x^4 + 2x^2 − y^2. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and point that reveal all the important aspects of the function. $f(x, y)=(x-y)(1-x y)$

Find the absolute maximum and minimum values of on the set f(x, y)=x^2+y^2+x^2*y+4, D={(x,y)| |x|<=1, |y|<=1}

Let F(x, y, z) = 3x2 yi + (x3 + y3)j. (a) Verify that $\text{curl}\mathbf{F} = \mathbf{0}$. (b) Find a function $f$ such that $\mathbf{F} = \nabla f$.

Find the exact location of all the relative and absolute extrema of each function. $f(x)=x e^{1-x^{2}}$

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.
$f(x, y)=x \sin y$

Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersection. L1: x = 3 + 2t, y = 4 - t, z = 1 + 3t L2: x = 1 + 4s, y = 3 - 2s, z = 4 + 5s