Find the domains and ranges of following functions HW 2.1 x2 - y2 1 HW 2.2 y = Vx-Vx-3

Q: Decide which of the two given functions is linear and find its equation. 1 3 4 fx) g(x) |–1.5 |-2…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Evaluate y' of the given functions: 1. y = (x² – 2)(x + 3)

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Q: Select all of the following equations for which y is a function of x. Ox + 3y = 3 Oa = y' + 3y O2? +…

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Q: Find the value of the given function. s(q) = |q + 1; s(3) %3D s(3) =|

A: Put q=3 Then S(3)=|3+1| =|4| =4

Q: Plot the following functions 1. y = - v2x +1 2. у %3D (х — 1)3+2 3. y =- 2x

A: 1. Plot of y=-2x+1 is shown in below figure:

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: B: Find the domains and associated ranges of the following functions: 1. y = 2. y = 2x2 – 2

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Q: Find the value of the constant k that makes the function continuous.

A: We shall try and understand this concept, in simple terms.A function is continuous at a point, if…

Q: (c) ( s) Find and sketch the domain of the function f(x, y) = x°y' /3x + 2y + 5.

A: The given function is f(x,y)=x3y33x+2y+5

Q: Find a function y(æ) such that byy' = x and y(6) = 5. y =

A: y' = dy/dx y(6) = 5 means at x=6 => y=5

Q: Evaluate y' of the given functions: xy² = x²

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Q: Q1/Find the domain and range for the following functions: a) y = -2 +J(1 – x). b) y = |x| – 2. %3D…

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Q: Eliminate the arbitrary constant on the given function : 2x y = cje + Cze %3D

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Q: H.W 1-Find the domain for each function : (1) f (x,y)=/y -x -2

A: By using graph of function

Q: Find the domain of each of the functions below. s(y) = 3y/ y +5

A: In this question possible values of y are domain. Denominator can't be equal to 0 in a function.

Q: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

A: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

Q: Find Ay and f'(x) Ax for the given function. 13) y = f(x) = x + x2, x = 8, and Ax = 0.05

A: Q13)

Q: Find the values of a and b that makes the following function differentiable. S(2) – {3e¬3 la(6 – 2)²…

A: Given fx=3ex-3      if x<3a6-x2+b   if x≥3

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: Evaluate y' of the given functions: 1 Find y"'for y (x+4)3

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Q: Q1/Find the domain and range for the following functions: a) y = -2 +J(1 – x). b) y = |x| – 2. | |

A: To find: the domain and range of a) y=-2+(1-x)b) y=x-2

Q: find max ., min. and saddle points for the following functions: e f = 4x - 6xy +5y" -20x +26y

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you…

Q: Differentiate the function. z(y) = A/y12+Bey

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Q: Find the fx(x, y) and fy(x, y) of the following function x2 — уз – y3 f(x, y) = Inxy

A: While finding partial derivative in multivariable function, if we have to find the partial…

Q: Find the fixed points of the following functions: (a)         f(z) = 4z3   (b)           g(z) =…

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Q: Which of the following statemens is true for the following function? (x, y) = (0,0) (x, y) + (0,0) *…

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Q: Identify the relative extremes and saddle points (if any) of the functions bellow. a)f(x, y) = x +…

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Q: i Verify the domains and associated ranges of the following functions: a) y = v2 -x b) y = v2- x c)…

A: To find the domains and associated ranges of the given functions.

Q: 4. Find the domain and the range for the following functions. Then, sketch its graph. (a) :=+/8-x² -…

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Q: Consider the tables of values for the two functions shown. y =fx) y = g(x) -2 1 -2 -1 1 3) -1 4 0.…

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Q: Q2// Find the domain and range of the following functions: 1 1) y 2) y = Vx +4x +3 1 1 * +2

A: Given: 1) y=11-1x+22) y=x2+4x+3

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 and range of the given function. xy f (x, y) = x+y

A: We will find the domain and the range of the function as following.

Q: Evaluate the function at the given values of the independent variables. = x³ + 3xy + y²; x = -1, y =…

A: z=x3+3xy+y2x=-1  and y=1 Replace the x  and y values in the given function

Q: Plot the following functions 1. y = - V2x + 1 2. y = (x- 1) + 2 3. y=-1 2x 4. y? = 6 -x 5. y = 1-…

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Q: 1. Find the Domain and the range of the function: f(x, y) = /[xy| + y2 %3D

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Q: Which one of the following functions is odd? Oy = 3x² Oy = 3x y = x³ Oy=3+x What is the parent…

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Q: (i) g(x, y, z) = In(3.x²yz); . %3D

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Q: Find the value of the composed function at the given point. If f(x) = -6x – 4 and g(x) = -2x + 4,…

A: Solve the function

Q: Find fg (x,y), fy (x,y). fx(x,y), and fyy (x.y) for the following function. f(x.y) = 4x²y² + 2x³ +…

A: The given function is: f(x,y)=4x2y2+2x5+6y

Q: Find the domains and the ranges of the following function y=2+ J4-8x

A: Explanation of the answer is as follows

Q: f(x) = 6x5 – 4x3 + 10

A: To classify the stationary points of the function: f(x)=6x5-4x3+10

Q: b. z = x² + 12xy + 2y², if 4x² + y² = 25. %3D

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Q: Which one of the following functions is odd? Oy = 3x² = Oy y = 3x y = x³ Oy=3+x What is the parent…

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Q: Evaluate the function at the given values of the independent variables. x² + xy; x = 5, y = 4 x - y…

A: Given : z=x2+xyx-y

Q: х+3 (iї) у3 y = x2 — Зх — 10

A: Consider the function: y=x+3x2-3x-10 In rational function, the point of discontinuity occurs when a…

Q: Evaluate y' of the given functions y = /3x + 4)(x + 3)

A: We can find the derivative as below.

Q: Which of the following represent a direct variation function? Oy = 1 3x O y = 2x - 1 Oy = Oy = 3x2

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Q: H.W 1-Find the domain for each function : (2) f (x,y)= In(x'+y-4)

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Q: Consider the tables of values for the two functions shown. y = f(x) y = g(x) -2 1 -2 1 2 1 3 -1 1 4…

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