Consider the two relations R and S, as given below: R S A 1 A 1 в 2 C 2 D 3 D 3 F E 4 E 5 Solve the following: a. R union S. b. Rintersection S c. R-S d. S-R 4-

Q: Consider the relationship R CN x N, R(x, y) holds iff (/a /9) E N. True or False R is reflexive true…

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Q: The domain of F(x, y) =x*y+ x*+ = 1 D =R²- {(0, -)} A O D=R BO D=R? .C O D=R-{}

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Q: Given the relation 1 1 1 с х C y Make y the subject.

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Q: calculate r(t) and T(t), and evaluate T(1).  r(t) = (et, t2)

A: rt=et, t2 Differentiating with respect to t, we get r't=detdt,  dt2dt=et,  2t Now,…

Q: Find the value of c such that P(Z > c) = 0.28 %3D O a. 0.3 O b. 0.58 O c. 0.85 O d. 0.22

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Q: Consider the following sets A = {x |x > 1}, B = {x E N|1< x < 3} and C = (-2, 2). %3D 1. Find: (а)…

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Q: Which of the following sets are equal? A = {0, 1, 2} B = {x E R|-1<x< 3} C = {xE R|-1<x<3} D = {xE…

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t).

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Q: Find the following. (0, 1), v = (5, -3) (a) u|| (b) ||v|| (c) |u + || (d) |ll M (e) u+ v (f) |u+ v

A: Given  u = 0, 1, v = 5, -3

Q: W = {(x,y) ER?:x+ y=0} w= {(x,y) €R2:x+y=3} w = {(x,y) €R2:y= mx} O w= {(x,y) ER?:x=y}

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Q: Which of the following sets are equal? A = {0, 1, 2} B = {xE R| –1<x<3} C = {x E R|-1 <x< 3} D = {x€…

A: first we convert the given roster notation to set or interval notation then compare. ℝ=(-∞,…

Q: The domain of f (1, y) = (a) {(z, y) E R| r +y? > 1, z #0} (c) {(z, y) € R| + y? > 1,z # 3} 1. is D=…

A: Given that: f(x, y)=x2+y2-1x-3

Q: Let A = {x E R : 2 < x < 3} and B = {r €R: -1<r< 2}. Prove that |A| = |B|.

A: To prove this result we first show a objective map from [-1,2] to [2,3]. Then (2,3) is uncountable…

Q: calculate r'(t) and T(t), and evaluate T(1). r(t) =〈3 + 4t, 3 − 5t, 9t 〉

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Q: If f(x) = then, %3D 1. D; = R R; = {1,0} 2. D, = [1,00) R; = [0, c0) 3. D; = R R; = {1,–1} 4. D; =…

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Q: Let r= x i + y j + z k and r= |r|. 30. Verify each identity. (a) ∇ . r =3 (b) ∇ . (rr) = 4r (c) ∇2…

A: Given, we know that, So, And, Used concepts:

Q: B) If f(x.y) x'y? +x*y , find: axdy *Əyər

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Q: Given that A and B are independent with P(A ∪ B) = 0.8 and P(B c ) = 0.3, find P(A).

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Q: Recall the relation between degrees Celsius and degrees Fahrenheit: F = 1.8(C + 32) X and Y are…

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). ré)-클러- 29 + 글아k 3, r(t) 3 (a) r'(t) (b) r"(t)…

A: Given ,             r(t) = 3/2 t2i - 2tj+ 2/3 t3k We need to find-              r't = ?…

Q: 3. Determine whether each of these statements is true or false. а) ОєФ b) Ø E {0} c) {0} c Ø d) ø c…

A: We know that ϕ is subset of every set. And a∈A if a is an element of A.

Q: Find the following. u = 3(4, 9) %3D (a) u|| (b) v|| (c) |u+ v|| (d) (e) (f)

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Q: Which of the following sets are equal?A = { 0 , 1 , 2 } B = { x ∈ R | − 1 ≤ x &lt; 3 } C = { x ∈ R |…

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Q: What translation rule maps A'BCD to A'B'C'D' ? y C C BA D D' A' А. Т-1,0) B. T(1,0) о С. То, -1» O…

A: Consider

Q: Let X = {a,b.c.d.e| and let r= +=(.X.ta).(a.b).{a.e.d}.fa.b.c.d}.{a.b.e}}. %3D Find N

A: Given set is X={a,b,c,d,e}

Q: Give a counter-example to show that the following statement is false. Vx EN Vy E R Vz E R ((x² < y?)…

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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: Consider the relationship R C N x N, R(x, y) holds iff (/æ /T) E N. True or False R is irreflexive…

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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: Negate the following statements: a. (∃y ∈ Q) (y + 4 = 8) = b. (∃z ∈ B) (3z ≥ 0) = c. ∀x∃y, M(2x + 1,…

A: Since you have asked for a question with multiple sub-parts , we will solve the first three sub-part…

Q: 3. Let R= {(x, y) : x² + y² 0, y > 0}. Evaluate // Vz? + y² dA x2 +y? dA R

A: using polar coordinates x=rcos(θ)y=rsin(θ)x2+y2=r2,dA=r drdθ

Q: 12. Let {x| x EN and 1 B = {x| x € R and 1 25} <x < 50} A = %3D

A: Consider the given information as, Known fact;  a.

Q: Which of the following would represent an approximation of R(51) using information from R'(x)? O…

A: In the question it is asked to write the approximation of R(51) using information from R'(x).

Q: Determine that; 2+ni/ mi/a = (1+ i) i. 2+7 ii. eiy+2ni+x = ez

A: As per the instruction, we will be solving only the first question. For (a), (i),…

Q: Which relation is incorrect: a. i.j = 0 d. j.k=i b. ixj=k e. ii 1 c. ixi=0

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Q: Suppose X and Y are independent. Find Pr[X Compliment |Y ] if Pr[X ∩ Y ] = .42 and Pr[Y ] = .6.

A: According to the provided information,

Q: Let R, S CAΧΑ. Which of the following is true? (R° • S)° C R° • S (R • S°)° C S. R° (R • S°)° C S° •…

A: Please check step 2 for the solution.

Q: O Finel the solution of r eccurrene relation +454 -39 ニ %3D

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Q: te r'(t), r"(t), r'(t)·r"(t), and r'(t)xr"(t).

A: First differentiate wet to again differentiate wrt t Takke dot product of first derivative to second…

Q: Determine whether A and B are independent, positively associated or negatively associated in each of…

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Q: Find W for the set W y e R : 2x – y – 5z = 0

A: We will find out the required solution.

Q: Match the indicated sets below with the letters labeling their equivalent sets if A = {x € R: x >…

A: To find- Match the indicated steps below with the letters labeling their equivalent sets if A = x ∈…

Q: 5.12. Prove and interpret the given relations: a. ax:n E, ãx+17 A, na x | b. „Ez. |

A: Given  ax:n=Ex1 a¨x+1:n  axn|=Ax:n-Axd-Exn

Q: Let R=[0,1]x[0,1]. xy3 dA= R.

A: Let's find.

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: Vy E R Ja E R [ (x² + y² + 1)ª+y+1 = 1] O True O False

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Q: Given uo, u1, U2, U3, U4 and ug and assuming the fifth order differences to be constant, prove that…

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Q: By using chain rule, Find dwldr where: W=x? + y X=r+1 Y=r-1 none =0 =5 =7

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Q: Let a A =| d e f h i and 2a 2b 2с B = 2d 2e 2f i Given that det(A)=1/12, what is det( B-)? Answer:

A: Other