Let ā = (3, −7, 6) and b = (4, 4, 8). b) b) x (a + b) a

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A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: Find a b. a = 61 + , b-1 - 9) + k

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Q: 9.) Simplify 5a2+ a2+ 7a a. 5a2+7a b. 6a2 + 7a c. 12a2 d. 13a3

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Q: Let A = {1}, B = {2}, and C = {3}. (a) Explain why A x B B x A. (b) Explain why (A x B) × C # A × (B…

A: Cartesian product: The cartesian product of the sets A and B is defined as the set of all the…

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: 6. fx√4x+1dx

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Q: Verify A(BC) = (AB)C, where 3 0 A = [¹, 3). B-² i 2). C= ² 1 01 0.2 = -3 1 1 1

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Q: Cx-3) Gょ2)tG3)

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Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

Q: d) -1 2(1 + 1)d

A: Ans:

Q: 2.) 8(b+ 1) + 4 = 3(2b – 8) – 16

A: We can find the value of b in the following step

Q: ;) 2r-11x-21 0 ii) x + x 22

A: 1)                                          2X2-11X-21 =0                         To solve this…

Q: 2 31 Find 24³ – 4A + 5 I. 2. Let A = -31

A: Given: The matrix is A=124-3. To Find: 2A3-4A+5I.

Q: If 3x - 6y = 8 , then x - 2y = A) 4 B) 3 C) 2 2/3 D) 5

A: A detailed solution is given below.

Q: lim (Vx2 +2x-x) ズ→

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Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

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Q: lAcOs3x+B sin sx) この

A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

Q: x³ +x² +x+7 x² – 1

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Q: Find the GCF of 36a and 45a? . Ο 27α? O 9a? O 8a? O 46a3 O 45a3

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Q: What is the inverse of the function f(x) = log5(-x – 3) ?

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Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: 10) Find mMX 6x + 4 7x+13 6x + 14 7.

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Q: 3. State the GCF of each pair of terms. a) 6x and 10x b) 154³ and 20² c) ab and a²6² d) -2x¹y¹ and…

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Q: Assume that 12 + 22 + · · · + n2 = an3 + bn2 +en + d. Find a, b, c, and d.

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Q: Suppose that A = {b, c, d} and B = {a, b}. Find: Q6.1 (A × B) N (B × B)

A: A=b, c, d  and  B=a, b Now, A×B=b, a, b, b, c, a, c, b, d, a, d, b&B×B=a, a, a, b, b, a, b, b

Q: Exl show that 9dx (x²+4)² 97 16 H.W

A: Here we have to show the above integral.

Q: 1.fし) -x' + 5 and glx) =x²+4x-12 ラ

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Q: 1+x dr 1+ x?

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Q: 6a - 4b when a = 5 and b

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Q: 15. Find mzN. (8x+17) (12x-39)

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

Q: Given that (AB) = 256, (aB) =768 ,(Ab) =48 and (ab) =144 find whether a and b are associated or…

A: To conclude, if the attributes 'a" and "b" are independent, the formulated Yule's Coefficient of…