1. Find and sketch the doma in of the function. Ans A f(x,y) =Vy +V64 – x2 – y2 a. ((x,v)| 64 > x? + y²) b. ((x,v)| 64 > x2 + y?} c. (x,v)| 64 s x² + y?} d. ((x,y)\- ∞< x < ∞, - ∞

Q: Find the indicated value of the function f(x,y,z) = 4x - 5y² +8z³ - 7. f(4, -3,1) f(4, -3,1)=

A: Given,

Q: 3. Find the largest domain (in R2) for the function In(3 + y) 1- x + y f (x, y) :

A: Let's find.

Q: Find the maximum and minimum values of the function f(x,y)=x3 + y3-3x-12y+2 on the square -3<=x<=3,…

A: fx,y=x3+y3-3x-12y+2; -3≤x≤3, -3≤y≤3

Q: Locate and classify the local extremum of the function f (x, y) x² + y? – 8x – 2y + 6. | -

A:

Q: Find the domain and b) Sketch the domain of f(x, y)= In(4x² – y) -5 -2 -1 3 4 5 x

A:

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Find all local extrema of the function f given by f : R? → R, f(x1, r2) = 3x7x2+ x} – 3a? – 3x3 + 2.

A:

Q: Find fx and fy for f(x, y) = (1 - 2x + y)ex+2y Select one: a. None of these b. fx = c. fx (2 + x -…

A:

Q: Find the maximum value of f(x,y) = 31-x² - y² on the line x + 5y = 26.

A:

Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

A:

Q: Determine the interval(s) over which f(x) = (x − 4)³ is concave downward. O a O b Od (-∞0, 4) (-∞,…

A:

Q: 2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1;…

A:

Q: Let f(x, y) = √175 – 3x² – 4y² Evaluate f(5,3)

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.