. For the given function f(x,y)=x²-y (a) Draw level curves for f(x,y)=k, for k= 0, 1, 4, and 9. (b) Draw the surface z=f(x,y) on a three dimensional axis system.

Q: 2) Draw contour maps for functions f(x, y) = x² - 4y², and g(x, y) = x² + 4y². What shape. are these…

A: The contour of function f(x,y) represents parabolas.

Q: Sketch the graph of f(x,y) = 5x + 4y - 20. State the domain and range of the function. Which of the…

A: f(x,y) = 5x + 4y - 20 Domain = R2 Range = R

Q: (10) Let f(x, y) = /x-y a) Find the domain and range of f (x, y). Sketch the domain on the x-y…

A: Step:-1 Given that fx, y =x-y Part (a):- The square root function is real when x-y≥0 x-y≥0⇒x≥y⇒y≤x…

Q: Let f: R2R be given by and let S be the surface given by z=f(x,y). (a) Find the equation of the…

A:

Q: б. (a) Sketch the level curves z = k for k = 0, 1, 2 if z = x2 – y?.

A: The level curves of a function f of two variables are the curves with equations f(x, y) = c, where c…

Q: Plot the level curves for c = -2, -1, 0, 1, 2, for the function f(x, y) = 5x + 2y2 using geogebra

A: Given : f(x,y)=5x^5 +2y^2 To find: To plot the level curves for c=-2,-1,0,1,2 for the given function…

Q: Sketch a typical level surface for the function f(x,y,z) = 3x² + 3y² + 3z².

A: Given that the function is                       f(x, y, z)=3x2+3y2+3z2.

Q: Find an equation of the tangent plane to the surface x-xyz 56 at the point (-4,5,2). Select one:…

A:

Q: (b) Define Level curve and level surface. Sketch the level surface f(x, y, z) = k. where…

A: Level curves are points of intersection of a surface with parallel planes.  Joining of level curves…

Q: Consider the function z = 4x²+4y²-4 z = f(x, y). Find equations for the xy-trace, xz-trace, and…

A: Consider a function z=f(x,y) .The xy trace occur at z=0 .The yz trace occur at x=0.The xz trace…