2. Determine whether or not each of the following relations represents y as a function of x. Find the domain and range of those relations which are functions. a. (2, - 5) (3,7) (2, 6) (4, 1) b. y=x'

Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

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Q: Select all of the following graphs which represent y as a function of r.

A: To find that the given graph represent y as a function of x.

Q: Find y as a function of x if y′′′+81y′=0, y(0)=0, y′(0)=−81, y′′(0)=−81. y(x)=

A: Given that,                    y''' + 81y'=0.......equation(1)                 y(0) =0,  y'(0) =-81,…

Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

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Q: X- + 1

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Q: Find y as a function of x if y" – 11y" + 28y = 0, y(0) = 1, y(0) = 5, y"(0) = 6. y(x)

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Q: Which of the following tables which represent y as a function of x

A: To find out tables which represent y as a function of x To become a function, x value does not have…

Q: If f is a function defined by the equation y = f(x), then xis called the _______variable, and y is…

A: If f is a function defined by the equation y = f(x), then xis called the _______variable, and y is…

Q: Which of the following represents y as a function of x?

A: The following represents y as a function of x is

Q: Sketch the graph of the reciprocal of each function. c) a) y f(x) yaf(x) 4- -2 -2- 4 -2 2. 4. -6 2…

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Q: In (x – y²) 4 – x² – y² f(x, y) =

A: Given function is: fx,y=ln x-y24-x2-y2 We have to find the domain of the function fx,y.

Q: Find y as a function of x if x'y" + 5xy' + 4y = 0, y(1) = 9, y'(1) = -2. y =

A: Solution :-

Q: Select all of the following tables which represent y as a function of x and are one-to-one. x| 4 8…

A: From the definition of a function, There must not exist such x in its domain such that there is more…

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x.…

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Q: /hich of the following relations is NOT a function? *

A: Use the vertical line test to determine whether or not a graph represents a function. If a vertical…

Q: Let f (x, y) and g(x, y) be functions of two variables withthe property that ∂ f/∂x= ∂g/∂x and ∂…

A: Given: f(x, y)  and g(x, y) be functions of two variables with the property that ∂g∂x = ∂g∂x and…

Q: Sketch the level curves of the function f(x, y) = y + 3 corresponding toc = 2, c = -4, and c = 4. 6-…

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Q: Find the domain of the following function: X-2 f(x) = x25xtô a. (-∞,2)U(2,00) b. None of these…

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Q: x< -1 -1 <x< 0 x = 0 0 <x< 1 1, -x, f(x) = • 1, -x, 1, x 2 1.

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Q: Find the domain and range of the following function * x+1 y = х — 1 (-00,-1] U (1,00) R- R- [-1,1]…

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Q: 5. Which of the following tables illustrates a relationship in which y is a one-to-one function of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Select all of the following tables which. represent y as a function of x. -1 -3 -2 -3 -4 -5 1 2 1 3…

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Q: If f is a function defined by the equation y = f(x), then x is called the _________ variable, and y…

A: A function is represented by y=fx The variable x is called the input variable, referred to as the…

Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: Consider the following relation. — Зх — 4y 4 Step 1 of 3: Rewrite the relation as a function of x.…

A: We will solve the following

Q: Consider the following function: y = x²*. ||

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Q: * Find y as a function of æ if y" – 8y" – y' + 8y = 0, y(0) = 4, y'(0) = -6, y" (0) = 130. y(x) =

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Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

A: the graph of the function y=f(x) is given. the given statement is f(0)=0. we have to tell whether…

Q: Determine whether y is a function of x…

A: For a function to be a function of x, the two variables say y and x must be separable…

Q: Find y as a function of x if x²y" – 3xy' + 4y = x", y(1) = 3, y'(1) = –5. y =

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Q: Find y as a function of x if y" +81y' = 0, y(0) = 4, y'(0) = -27, y"(0) = 81. %3D |

A: Given that y’’’ = 81y’ = 0 And y(0) = 4, y’(0) = -27, y’’(0) = 81 y(x) = ? y’’’ = 81y’ = 0 let d/dx…

Q: (: Find y as a function of x if y" + 64y' = 0, y(0) = -1, y'(0) = -24, y"(0) = 0. y(x) =

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Q: Which among the following relations are NOT considered as functions? A y= 4x2 – 2x+7 B 2 = x3 – 8x²…

A: Which of the following relation is not a function: y=4x2-2x+7 y2=x3-8x2-4x+5 x,x2-2x+6x∈ℝ x,3xx∈ℤ…

Q: Consider the following. (x² - 2, f(x) = xS0 5x + 2, x > 0 Sketch the graph of the function. y y 10…

A: Given f(x) = x2-2,x≤05x+2,x&gt;0 We know, when the two-sided limit exists, but is not equal to the…

Q: ( ') Find y as a function of x if y"-3y"-y' + 3y = 0, y(0) = 5, y'(0) = -9, y"(0) = -27. y(x) =

A: As Per Bartleby Answering Guidelines We Solve Only First One Problem

Q: Which among the following relations are NOT considered as functions? A y=4x² - 2x+7 ® {(x,x²–…

A: Option C

Q: 2. Find and sketch the domain of the following function f(x,y) = 4– x² – y2 + V1- x2

A: Consider the given function as fx,y=4-x2-y2+1-x2

Q: Identify the range of arctan(x) so that the relation is a function. ) - TI< y< 7[ 00<y<

A: here range of arctan(x) is -π/2 to π/2 because if we put π/2 it give infinte value  so range…

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: Which of the following is the graph of the function f(x) = Vx %3D

A: here we know that y= root x than y^2=x

Q: Which of the following restrictions on the domain of the relation shown in the graph below will make…

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Q: What will be the orientation of the curve of the graph of the function f(x) = 3 on (-3,0)? z² z+3 O…

A: Given the function f(x) = x2x+3on -3, 0. To find the orientation of the graph of the given function.…

Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

A: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

Q: Define y as a function of x: 2xy + 5y2= 4 Please explain as specific as possible. I want to be…

A:

Q: Find y as a function of x if x'y" – 9xy' + 25y = x", y(1) = 2, y'(1) = -5. y =

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Q: Which of the following equations DOESN'T define y as a function of x ? Select one: O y= x3+2 O…

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Q: Find the rule of the function associated with the following table. 1 2 3 y 1 2 4 8 Oy = 2(2)* Oy =…

A: Given, The data table between x  and y  We have to find the function associated with the table.

Q: which of the following relations is currently a functions but fails the vertical line test when the…

A: If a vertical line intersects the graph in some places at more than one point, then the relation is…