2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² - y²-z) √z

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Decide if the following functions are linearly independent in the interval (-00, 00) f1(2) = 1+r,…

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Q: The height of a hill is given by h(x, y) = 2xy- 3x2- 4y2- 18x+ 28y+12. Here, x is the distance east…

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Q: t(x, y) x² + y?

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Q: Find the domain and range of the function g(x, y) = x√y

A: Given , gx,y=xyNow , x∈R , y>0 i.e y∈R+∴ Domain .    x,y/x∈R , y∈R+…

Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

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Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

A:

Q: 2) Differentiate and simplify: f(t) = 2et e2t+ 1

A:

Q: a) Find the local extreme values of the function f(x,y) = 2xy – x² – 2y2 +3x + 4. %3D

A:

Q: For the function f(x,y) = x³ ²xy, find fx and f.

A: Given function:- fx,y=x3e2xy

Q: Find and sketch the domain for the following function: g(x, y) = x-y

A: The given function gx, y=4-x2-4y2x-y. We have to find its domain and sketch its graph.

Q: If g(x, y) = √√3xy - 7x, find gx and gy. 9x = gy =

A: partial derivatives

Q: p(x, y, z) = 4 – x² – y²

A: Domain of the function is the values of x,y and z for which function is defined.

Q: How can you display the values of a function ƒ(x, y) of two in-dependent variables graphically? How…

A: For a  function ƒ(x, y) of two in-dependent variables. It can be plotted graphed using 3d plotting…

Q: dw at (u,v) = (5,4) for the function w(x,y) = xy – y; x= u – v, y= uv. Evaluate du O A. 21 O B. 1 O…

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Q: Find the equation of the tangent plane to the graph of 7y √x f(x, y) = at the point (9,-1). (Use…

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Q: For the function f(x,y) = ³xy, find fx and fy. fx = (Simplify your answer.)

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Q: 3. Sketch these functions and find their domain and range. a) f(x) = √√3x b) y = x³

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Q: Find y" from the function: y = x² – 2xy + 3y? = 4 %3D -

A:

Q: the doi n ain of the functions

A: We have given two functions : f(x,y)=1xy…

Q: Find all functions from X = {a,b} to Y = {p,r,t}.

A: Given :- To find all functions from X = a,b to Y= p,r,t.

Q: fex)= J4-x +2

A: The function is given by f(x) = 4-x + 2 To evaluate : The graph of the function f(x)

Q: Find the domain of this 2-variable function and sketch it (shade it in): f (x, y) = V1– x² – y2 y 1…

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Q: f(x,y) = 5 + Vx – y² +4

A: To determine theb domain and range of the following function.fx, y=5+x-y2+4

Q: Determine whether the following function y = C₁ x + C₂ x³ + 2x² ex- 2x ex a solution to the…

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Q: The domain of f(x,y) = /36 – x² – y² is

A: Given: The function in two variables, fx, y=36-x2-y2.

Q: デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT a. Get the domain, range and graph of the…

A: Step 1:Step 2:Step 3:

Q: For the given function 6=x²yz C=3x²yi+yz²j-xzk and Find 82 Sysz (c) at point (1, -2, -1).

A: