Suppose you have the following relation: R: A-A where A = (a, b, c, d, e) %3D R= ( (a, b), (a, e), (b, e)) %3D Determine if it is reflexive, symmetric, anti-symmetric, and transitive.

Q: Evaluate: īdz when C Is the right-hand half:z =

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Q: Differentiate the function. H(z) = In a2 - z2 a2 + z? H'(z) :

A: Given function, Hz=lna2-z2a2+z2

Q: Q4) If VZA = |, such that AAT = 1. Find x? %3D %3D

A: Given that 2A=1-1   -1xT  such that AAT=ITo find x:

Q: Find f '(2), where f (t) = ü(t) · i(t), ü(2) = (1,2,–1), ū'(2) = (3,0,4), and v(t) = (t, t?,t3).

A: To find out the f'(2)

Q: Let f(æ1, x2, X3)=(x1³ + x2, x1? + x3). Find df(1,2,3) (-3, –2, –1)

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

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Q: Let f(x, y) = x² vI Evaluate f(4, 4)

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Q: Let f(x1, x2, X3)=( x1³ + x2, x1² + x3). Find df(1,2,3)(-3, –2, –1).

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Q: Q3- Find the numerical value of f. xdz,if c = c, + c2 + C3.defined in the given figure. (2,2) C2…

A: ∮C  x dz                C1:joining 1 ,1 to 2, 1r1t=t2, 1+1-t 1,1  t:0→1       =2t+1-t, t+1-t…

Q: Describe the long run behavior of f(t) = As too, f(t) → ? v As t→→∞o, f(t)→→ ? - 4tº + 2t6-3t5+1

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Q: The table gives values of z = f(x, y) on the rectangle Rwith 0 < x < 4 0 < y< 8.

A: Over and Underestimate: Remember that a planoconcave-up performance is one that's higher than its…

Q: tur f:R +Rf (z) = V100 – zHow many elements of the range of f (xare integers?

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

Q: Use the fact that dim(R(A)) = dim(C(A)) to explain why rank(A) = rank(A").

A: Here we can use the fact that  rankA=dimRA to prove the identity.

Q: Suppose that f(x, y) = e² / y on the domain D = {(x, y) | 0 < y < 2,0 < x < y³}. D

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Q: Let f(x, y) = e²x* %3D Evaluate f(3, 5)

A: Given :   f ( x, y) = exy x4   point ( 3,5)

Q: Find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. f(x,y) = 4x3 −…

A: The given function is,

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Q: Let f(x, y) : V 125 – 3x? – 2y² - Evaluate f(1, 2)

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Q: alp heve fore, lasie closer together than a and "a and c" oY b and C"

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Q: Vhat is the domain of the relation R given by: 6. R = {(x,y)ly = x + -;where x, y e N,x < 6}

A: The relation is given as R={(x,y)|y=x+6x; where x,y ∈N , x&lt;6}To find the domain of the relation.…

Q: Let f (x, y) = Vy – 2x Evaluate f(3, 10)

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Q: Which of the following windows will show all 6 points listed in the table? O A. Xmin: -4 Xmax: 9…

A: bh;k';l' '

Q: Given f(x, y) = 4x³y², evaluate f(1,y) and fy(x,2).

A: We are given a function: f(x,y) = 4 x3y2 We need to find the partial derivative of the given…

Q: O Evaluate, (a) / 3y* In (y) dy

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Q: Q3- Find the numerical value of f. xdz, if c = c + c2 + C3.defined in the given figure. (2,2) C2…

A: Given: I=∮xdz, c=c1+c2+c3

Q: C. (5+ y³senx)dx + 3y²cosxdy = 0 %3D

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Q: Given the relation am+1 = va, + 20 with a, = 1, then lim a, = n00 (a)5 (b)4 (c) 20 (d) 0 (e) None a

A: Proceed as shown below

Q: In the following problem, begin by drawing a diagram that shows the relations among the variables.…

A: According to question given :w=-x2+2y2+2z2z=2x2-y2

Q: Use the table of values of f(x, y) to estimate the values of fx(3, 2), fx(3, 2.2), and fxy(3, 2).…

A: We are given the following table. x                     y→ ↓ 1.8 2.0 2.2 2.5 12.5 10.2 9.3…

Q: 9. An advertisement for Snackers Crackers claims that eight out of 10 students prefer Snackers…

A: Use the ratio proportion and form the equation in terms of x.

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: Let fx) = cx and suppose that R4) = 8. Find the value of c. (Round your answer to two decimal…

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Q: Given f(x, y) = 4/32° + y + 8xy³, find f.(x, y) = f,(x, y) = |

A: Find the partial derivative of f(x,y) with respect to x to find fx(x,y) . Find the partial…

Q: You are told that Vf(2,3) =. %3D Given ü =, compute Düf(2,3).

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Q: Consider the diagram below. -10 A B o-9 - -7-6 -54 -3 -2 -1 9 10 3v2 -7 Which of the following…

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Q: Describe the long run behavior of f(x) AS I→ ∞, f(x) → ? v As → ∞o, f(x) → ? ✓ || H 2³

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Q: In the previous exercise, let G = G-{a,c,e,f} Gq = G[{a,8,e}] Draw G,U Ga. %3D

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Q: f(t) = abt = aekt = a · 2t/s, given that f(−20) = 5 and f(40) = 30.

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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…

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A: Given that w=x12+x22+x32+x42+..+xn2k for n≥2. Take the derivative with respect to x1,…

Q: Use the grapn of g(x) below to answer what follows 4 3 2 - 2 -it'23 4 5 4 1-

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Q: Find all values of x and y such that fx(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 5xy…

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Q: ple 7. Classify the following relation as constant, linear, quadratic, cubic, or neither. y First…

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Q: Find fx(x,y,z), fy(x,y,z), f₂(x,y,z), and fyx (x,y,z) for the following. 3 f(x,y,z) = 4x³ + 2xy -…

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Q: What is the degree of f(x, y) = 2y + √x² + y² ? 01 00 O 1/2

A: what is the degree of f(x,y)=2y+x2+y2 degree: it is the highest power of function

Q: For the following table, assume that y = a (x ^b). Then 2 5 7 7 9 11 11 17 13 25

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 3)i + tj, 32

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Q: Q5: If f(x,y) = 6x , g(x, y) = x-3y find Vf,Vg,V(fg) %3D

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

Q: Suppose FW = Ax+B, with F6)-r and F() - 8, pind F) interms of A,B,r,s

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

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.