1. State whether or not the following relations are functions. а. {(2,2), (4,4), (6,6)} b. {(5,3), (5,4), (5,5), (5,6)} c. {(0,2), (3,-5), (0,4), (1,6)} d. {(x,y)/ у %3 3x - 8} x+3 е. X-5

Q: Give the domain of the function. z = 4x – 5y O {(x, y): x and y are real and 4x – 5y = 0} O {(x, y):…

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Q: 7. Here you may use Desmos or another graphing utility to graph the following functions: 1 y = 1, 1=…

A:

Q: Which of the following relation y = f(x) represents a function? %3D O 11r = 4y? – 19 - O 11r 4y? +…

A: We need to check if for any x we get one y or more than one y's.

Q: y(4)−10y‴+25y″=0, y(0)=3,  y′(0)=8,  y″(0)=25,  y‴(0)=0. y(x)=

A:

Q: Which of the following relation represents a function? Oa( (0, 0) (1, 2) (2, 3) } Ob (1, 1) (1, 2)…

A:

Q: Examine each of the following relations given below and state in eachcase, giving reasons whether it…

A: (i) R = {(2,1),(3,1), (4,2)} For one value of x, we got one value of y So it is a function.…

Q: Which among the folowing reletions are considered as functions? (You need to choose all the ccrrect…

A: Find your answer below

Q: For each function below, consider its level surfaces, where w = .-- 2, -1,0, 1,2.- it negative w's…

A: To check the equation of the surface, w can be taken as any constant and then check for the surface.

Q: For each part, determine whether the set of three functions is linearly dependent or linear…

A:

Q: Let f(x, y) = x* / Evaluate f(2, 4)

A: Now,

Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y)=…

A:

Q: Which of the following relations represent functions? W 11 11 11 -11 7. 7 11 11 11 11 XN XX

A: We are given the following relations.

Q: 4. Describe the domain of the function f(x, y)= In(6+ x-y). {(x, y): y<x-6} {(x, y): y 2 0} {(x, y):…

A:

Q: evaluate the function at the specified points. f (x, y) = x + yx3, (2, 2), (−1, 4)

A: Given function is fx,y=x+yx3

Q: Let A={2,4,6 } and B={1,3,5,}. which of the relations, R,S,and T defined below are functions from A…

A: We know that relation is said to be a function if every element in the domain have exactly one value…

Q: 1. Which of the following relation between x and y represents y as a function of x? Select all that…

A: Relation between x and y is given in the graph. we have to the relation as a function.

Q: State whether the following rule defines y as a function of x or not. 0 1 - 2 -3 3 - 9 - 19 X y 3 -…

A: Given.

Q: Find the residues of a function 1 f(z) 3 (z − 2)(z + 1)³

A:

Q: Select all of the following tables which represent yy as a function of xx. xx 2 8 15 yy 5 7 12 xx 2…

A: We have to check the function

Q: Which of the following relations is not a function? A. y 3 4 3. 4 8. 9. C. y D. y -2 1 4 1 2 6 3 5 1…

A:

Q: Find the axis of symmetry of the following function: f (z) = 4x² + 8z -- 20 %3D O 2=1 O z=2 2=-1 O…

A: C correct

Q: 5 The domain of the function f(x) = is. (x– 3)(x– 2) %3D a) R– {2,3} b) R-{-2,3} c) R-{-2,–3} d)…

A: Option (a) is correct

Q: y is a function of x, which of the following cannot be true?   A. When x = 3 and x = 7, then y = 2.…

A:

Q: dR/dt = a * R / (b + R) - c * R dS/dt = d - c * S (a,b,c,d are all constants) what is the…

A:

Q: Find fxx​(x,y), fxy​(x,y), fyx​(x,y), and fyy​(x,y) for the following function.…

A: To find fxxx, y, fxyx, y, fyxx, y and fyyx, y for the following function.fx, y=3x2y2+4x3+6y

Q: 46. The equation of any line in the coordinate plane can be written in the form Ax + MAFS.912.…

A:

Q: Let h(æ, y) = f(x)g(y) + (9(y))² and suppose that f(1) = 5, f'(1) = 3, g(2) = 8, g'(2) = 10. Then…

A: Given function is - h(x,y) = f(x) g(y) + g(y)2             ............................(1)We have to…

Q: Find y as a function of x if: x^(2)*y''+13xy'+36y=x^(4) y(1)=7 y'(1)=3

A:

Q: Which of these relations are functions? Select all that apply. y 17 15 13 8. 11 10 19 -12 19 17 4…

A: (a) x y 17 15 13 3 8 11 10 19 -12 19 To check whether the above relation is a…

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

A:

Q: Which of the following relations represent functions? W 4 4 7 7 7. 11- 11 11- 11 4 4 7 7 11 11 11 11…

A: Correct Option is (A) only X

Q: Which of these relations are functions? Select all that apply. y y y 19 -1 11 6. 18 15 4 16 7 10 -2…

A: To find which of the relations are functions x y 19 -1 16 5 20 -3 7 19 5 10 Since…

Q: Which of the following relations are functions of y in terms of x? 1) 2) 3) 4) 5- 5+ 5+ 4- 3- 2- 2-…

A:

Q: How do you show the image of the union of S and T is equal to the union of the image of S and the…

A:

Q: Find y as a function of a if y(0) = 2, y(0) = 3, "(0) = 7. y(x) = y"9y" + 18y = 0,

A: y'''-9y''+18y'=0y(0)=2, y'(0)=3, y''(0)=7To Find: y(x)

Q: 1. Classify each of the following relations as linear, quadratic, or exponential. a) b) c) d) e) f)…

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Q: Find a function from the set {1,2,.....30} to {1,2,.....10} that is a 3-to-one correspondence.

A:

Q: Determine whether z is a function of x and y + z2 = 1

A: see below the answer and explanation

Q: Which of these relations are functions? Select all that apply. y 16 17 3 15 -13 18 -4 4 15 2 4 10 10…

A:

Q: Let f(x, y) = e"r³ Evaluate f(3, 0)

A: The function of two variables  x and y will be of the form,   The function value of this kind of…

Q: 2. Use first differences, second differences, and/or ratios to classify each relation as linear,…

A: Concept: If the first difference values  are equal, then pattern is linear. If the second difference…

Q: Give the domain of the function. z = 4x - 5y {(x, y): x and y are real and 4x - 5y = 0} O {(x, y): x…

A:

Q: Find a function r(t) that describes the line through P(4,9,3) and Q(1,6,7). O A. r(t) = (4- 3t, 9+…

A:

Q: If f(x,y)=x²+3xy-2x+3, then f(x+h,y) is... Jika f(x,y)=x2+3xy-2x+3, maka f(x+h,y) adalah... 1. O…

A:

Q: For the function def ined by f (x) =x² on [0, 1] and P=0,-,- 4 4 4 1, then: U(f;P)=[X]

A: We will find U(f,P) for the partition

Q: For two sets X = {-2,0,1},Y = {-4,5,6}, if f (x) = a +i4 a bijective (i.e both injective and…

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

Q: Let f(x, y) = e*Yx4 Evaluate f(3, 5)

A:

Q: Differentiate implicitly the relation x³ + xy² = 2y³ – 4 to find y'. Then evaluate y'at (-1,–1)

A:

Q: Determine whether z is a function of x and y. x2z + 3y2 − xy = 10

A: Given expression:                                      x2z+3y2-xy=10   Taking half of the terms to…

Q: Which of the following sets does notdescribe a function? A. {(x.y) |xy– y = x² } B. {(x. Y) |2y° - x…

A: For simplicity, we will plot the relation to identifying whether they are function or not. For (A),…