Describe the domain and range of the function. f(x, y) = 4x2 - y Domain: o {x, y): x 2 0, y 20

Q: Find the x- and y-intercepts for the function. x + 3 f(x) = x² + 4 %3D x-intercept (x, y) =…

A: the  y-intercept is given by (0, f(0)) and find the x -intercepts by setting the numerator equal to…

Q: Find and sketch the domain for f(x, y) = ² 2x-14y²

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Q: f(x,v) x2

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Q: The range of the function f(x, y) = 6 – V9 – x2 - y? is O (-∞, 6] O (-0, 3] O [3, 00) O [6, 00) O…

A: Given:     f(x,y)=6-9-x2-y2    Range of the function is         9-x2-y2≥0          9≥x2+y2…

Q: Find of the function x³ z2 – 5æyz = a? + y %3D

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Q: Find all points (x, y) where the functions f (x),g(x),h(x) have the same value: f(x) = 2²-5 + 3,…

A: First we out x values that makes g(x) and h(x) equal set it equal to each other and solve for x…

Q: Find all the points of discontinuity and classify them for the functions: x² + x (i) f(x) = x3 + x²…

A: Hey, Thanks for the question , "Since you have posted multiple questions as per our guidelines we…

Q: Locate the absolute extrema of the function f(x)=-2r+ 12x+ 3 on the closed interval [-6, 6].

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Q: a) Determine the domain and range of the function: 1 + x – 2y f(x, y) = Vx² + y² – 1 b) Sketch the…

A: Given: fx,y=1+x-2yx2+y2-1 We need to find the Domain and  Range of the given function…

Q: Find and sketch the domain of f(x, y) = /9-x²-y² Vy²–1 What is the range of f ?

A: Given function is  fx,y=9-x2-y2y2-1 The graph of given function is

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: (a) What is domain and range of the function f (x) = v1 – 9x² (b) Is y(x) = v2x + 5 a function? 1.

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Consider the function: f(x) = 3x2 + 12x – 180 %3D - The y-intercept is at y The x-intercepts are at…

A: Given function is : f(x) = 3x2 + 12x - 180 Let, y = f(x) = 3x2 + 12x -180 To determine the…

Q: 4x² + y² Consider the function f(x, y) : 2

A: Consider the function fx, y=4x2+y22. i) Draw a cantour map of f for k=0, 1, 2, 3. ii) Using the part…

Q: f(x, y) = In(3 - x) √x² + y² = 8 - a) Find the domain of the function b) Sketch the Domain

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Q: Find the domain of the function f(x, y) : Vx2 + 8y2 – 5.

A: follow next step

Q: Consider the function f(x.y) = x2 +y? – x + 3y. What is the value of f(-2,3)?

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Q: Graph and shade the domain of f(x, y) = vy + x² – 2.

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Q: Q2// A :- find and sketch the Domain of f(x, y)=v(x-4)+y' -9 + V4-x²-y° 2

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Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

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Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: "Find the domain of the function f(x) = g(z) +, where g is a function whose domain is (-, 10]." VT-4…

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Q: V4 – x2 – y? In(y – x) - Find and sketch the domain of f(x, y) -

A: Given,fx,y=4-x2-y2lny-xRoots are:y=-4-x2y=4-x2Domain is: (x,y)∈R2:log(y-x) ≠0 and x<y and x2+y2≤4

Q: Q1// B :-find and sketch the Domain of f(x,y)=v(x-4)+y -9 + 4-x-y

A: Let's find.

Q: Find and sketch the domain for the function

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Q: 2. Find whether the function F = (x -y')i+ – 3x)7+(z² - xy )k i %3D

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Q: Find the largest domain (in R²) for the function 1+ Vr+ Vỹ x² + y² f(x, y) : =

A: Given: The function f(x, y)=1+x+yx2+y2.

Q: Find the range of the function f : R R,f(x) = x² – 4x + 3. Select one: a. [-1, c0) b. (-∞, 1] U [3,…

A: The objective is to find the range of the function.

Q: Find the domain and range of the function f(x,y) = √√y − 4 + x2

A: Given: Domain: We must have y-4>=0 and x to be not equal to 0. So,          Domain = -∞, 0∪0,…

Q: The range of the function f(x, y) = 4 – V4 - x² - y is [2, co) (-00, 2] (-0, 4] [2, 4] [4, c0)

A: Range of a function:The set of all possible values of y after substituting all the possible values…

Q: Draw the domain of the function: f (x, y) = Vx² + 9y² – 36

A: Please refer the attached image for complete solution. THANKYOU.

Q: b. Find and sketch the domain of f(x, y, z) = Vz-x² – y²

A: (b) domain of function f(x,y,z) is set of those values of x,y,z where function f(x,y,z) is defined…

Q: For the function f(x, y) = /(x – 1)² + y² +1 a) Categorize the domain and range for function f(x, y)

A: Given,  f(x,y)=(x-1)2+y2+1

Q: Find the domain and range of the function z = xy /(x + y)

A: Solution:- The given function is  f(x,y)=z=xy(x+y) ⇒f(x,y)=xy(x+y) domain  is the all the input…

Q: a) Consider the function f(x, y) = /In (4 – x² – y?). Find the domain and range of f(x, y).

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Q: A) Find the Range and the Domain 1 1. y = x+1 2. y = J %3D 3. y x2 +1

A: 1. y=1x+1; the denominator can't be zero.so we can have all real values for x as domain except…

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: Find and sketch the domain of the function f(x,y), (sqrt y-x^2)/4-x^2

A: Using the question asking by student  F(x, y) =(√y-x^2) /(4-x^2)  4-x^2(exclude)  √y-x2(need)

Q: ôf What is for the same function f = x*y+3y'z² ? ду X,Z

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Q: Find the domain of the function. f(x, y) = x² + y? – 7

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Q: Draw the domain of the function: f (x, y) = Va + y? + 5

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Q: Find Vf(x, y) for function f(x, y) = 5-- 50

A: We have to find the gradf or del f(x,y)

Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: ) Consider the function 2 = f(x, y) = /16 – (x² + y?)². Find the do- %3D main and the range of…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: Evaluate the function. f(z) = –x² + 3 %3D Find f(-2)

A: Topic = Functions

Q: Find the domain and range of the function. F(x, y) = V64 – x² - y2 Domain: {م تره تم o{e y y): o{x,…

A: value=?

Q: Determine the global extreme values of the function f(x, y) = 2a³ + 2a?y + 3y?, a, y > 0, æ + y <1…

A: Consider the given function fx,y=2x3+2x2y+3y2,x,y≥0,x+y≤1 we shall find the first order partial…

Q: The function f(x,y)=/26-2x²-y² is continuou at point (2,-3). .A False .B True

A: Givenfx,y=26-x2-y2

Q: Find the domain of the function. (Enter your answer using interval notation.) k(x) =, Vx+4 x - 2

A: Given function k(x) = x+4x-2TO find : Domain of the function