3. Find the absolute maximum and absolute minimum values of f(x, y) = x' +xy+ y° – 3x+3y on the triangular region cut from the first quadrant by the line x + y =4 (Sketch the region).

Q: Graph ƒ(x, y) = 100 - x2 - y2 and plot the level curves ƒ(x, y) = 0,ƒ(x, y) = 51, and ƒ(x, y) = 75…

A: Given the function fx, y=100-x2-y2 Plot the level curve fx, y=0 Therefore the curve is:…

Q: Find the minimum distance from the point (2, -1, 1) to the plane x + y - z = 2.

A:

Q: Find ƒyxyz if ƒ(x, y, z) = 1 - 2xy2z + x2y.

A: Given that, fx, y, z=1-2xy2z+x2y           ...(1)

Q: find the local extrema for the following function  f(x,y)= x^2 +y^2+xy-7x+4y+9

A:

Q: Find the equation of the tangent plane to the surfaceln(x3 + y3 + z3) = x2z + 1at the point (1, 1,…

A: The objective of this question is to find the equation of the tangent plane to the given surface at…

Q: the shaded area shown in the figure is bounded by the line with equation y = 12-7x-x² and the line…

A: given functions are                                              y=12-7x-x2, y=4…