Let Az = { k, k + 1, ..., k²}, for k 1,2,3, .. Find U은1Ak-nE1 Ax

Q: Graph the solution set for each system of linear inequalities. a) y >x- 2 y<x+3 y-10 5- -10 -5 10…

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Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: Suppose that A = and B = for some real numbers x and y. Find y 1 9 y all ordered pairs (r, y) such…

A: Given: A=x0y1B=xx9yAB=BA

Q: b) Show that z, + z, = z, + Z, . 2

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Q: Suppose Duf(xo, Yo) exists. Show that Duf(xo, yo) = - Duf(xo, yo).

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Q: The numbers 1, 2, ... 10 are written in a row. Is it possible to put signs - and + between them so…

A: We know that the sum of all the numbers from 1 to 10 is 55

Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Evaluate -k2 _ (3k - 5n) + 4n; k = -1 and n = -2. a. -16 b. -14 c. 6 d. 4

A: -k2 _ (3k - 5n) + 4n;   k = -1 and n = -2

Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

Q: Which set of points includes all of the solutions for y= 2/2

A: Giveny=52x+32

Q: E. On the right: a. r*ak + r*(-ak) = r*(ak + (-ak)) b. r*(ak + (-ak)) = r*0 c. r*0 = 0 F. So, r*(aj…

A: the last three lines also proves b and c too.

Q: Is (2,1)=(1,2)?

A: The objective is to determine whether 2,1=1,2.

Q: 19./1-√ dr

A: 39.

Q: Given: F(s) = (2s+3)/(s² -2s +5). Evaluate: f(1) Use 2 decimal places. 5.67

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Q: 28) 28) -4 < xs -2 A) (-4, -2) B) (-4, -2] C) [-4, -2) D) [-4, -2]

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Q: be the sets B1={u1=(-3,0,-3),u2=(-3,2,-1),u3=(1,6,-1)} B2{v1=(-6,-6,0), v2=(-2,-6,4),v3=(-2,-3,7)}…

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Q: 2. Show that if a]b then a'|b² for all integers a and b (Symbols V, 3, A, V, V,A,→,-)

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Q: 5) For each + ive integer i, where i is equal to three, then find the union and intersection of…

A: 5 Given that Ai=x∈R|−1i&lt;x&lt;1i=−1i,1i. a We have to find the A1∪A2∪A3 and A1∩A2∩A3. Here,…

Q: 13) If x = 5a*, and a = 2b3, express x in terms of b.

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Q: actortise the expression: a^(2)+by^(2)+bxy +axy

A: Given expression: ax² + by² + bxy + axy

Q: 5.Find h(-), if 4x* – 3x2 + 2x – 2.

A: Given: hx=4x4-3x2+2x-2

Q: Prove that if x is real number then L2xd =LxJe bx+!]

A: We will prove the expression by two  steps taking real number x in two form.

Q: Find AB if 101 1 2 1 2 1 1 ----- () and B= 2 3 1 0 1 1 422 112 A =

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Q: 6) Show that=1

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Q: Letu = (1,−1,3,5)andv = (2,1,0,−3).Findscalarsaand b so that au + bv = (1, −4, 9, 18).

A: The given vector is u=1, -1, 3, 5 and v=2, 1, 0, -3 such that au+bv=1, -4, 9, 18. We have to find…

Q: 2. Find all numbers z such that Az3 + Bz² + Cz = D -3 -5 a. A [4] B =[₁₁1] c = L-₁₁ ย -11] A = 11 3…

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Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution