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: of of Find and for the furction f(xy,z) = x y+ y + xỉ ôx 'ay

A: For the function f( x, y, z ) = x2y + y2 + xz2 . We need to find some partial derivatives.

Q: V Find the matimize of the function fex) = 9" %3D by fibonacci method using N= 8 by

A: Thank you for your question!! Since, you have posted two questions in single request I will answer…

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: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

Q: S(x)dt, iff(x)= Vx-k+1;k-13x< i, k=1, 2.n.

A: By substitution, we calculate the following Integral.

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: The x and y coordinates of the inflection point(s) of the function f(x) = x + 21x* is (are): A. No…

A: Solution :-   Given fx = x3+21x2We have to find inflection point for this, we put f''x = 0

Q: Describe the domain of the function f(x, y)= In(6+x-y). {(x, y): y<x-6} {(x, y): y 2 0} a. {(x, y):…

A:

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: Q2: Find ôf ôf - for the function f(x, y, z) = x²y+ y° + xz² and Əx 'dy

A: We will find out the required values.

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

A:

Q: I+1 The maximum value of f(x) = on the closed interval -4, 4] is 748

A: Given,fx=x+1x2+8differentiating both the sides with respect to…

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: The range of the function f(x, y) = 6 - 4 - x2 - y² is (-00, 6] o [4, 0) [4, 6] (-0,4] [6, 00)

A:

Q: Prove that v5 is irrational.

A:

Q: Siven the function f(x.y) = In (6x + 3y), answer the following questions. Find the function's…

A: "Since you have posted a question with multisubparts, we will solve first three parts for you. To…

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:

Q: 16xydx- 24ydy = -8x²dy %3D

A: The given differential equation can be written as:16xy−24yy' =−8x2y' An ODE Mx, y+Nx, yy'=0 is in…

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.