(a) (i) If (a + b)2 = -5 + 12i, find a and b given that a, b € R.

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A: Here the given expression

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Q: For a = -3i+2j − 2k and b = −7i+ 3j, a × b = -6i - 5j – 14k. Select one: True O False

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Q: (c) Show that (AB)² + (A x B)² = (AB)².

A: Given ( A.B )2 + ( A×B )2 = ( AB )2

Q: (Vx – 1)5

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Solution

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A: Note: It is being assumed that the expression: (14+ x) ÷ 2 needs to be evaluated when x=4.   In the…

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A: Given the given function is gx,y=xlnx+y,    x,y=-2,3. Apply gradient formula ∇f=∂f∂xi+∂f∂yj

Q: Find: W(e2x, –5e3x) A. 5e3x B. 4e5x C. -5e5x D. -4e* E. None

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Q: 2. Find the value of x (3r - 7) 29 D

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Q: Find a side and diagonal relationship to find √10. Then use it to find an approximation to √10…

A: To find a side and diagonal relationship to calculate √10, consider a right-angled triangle where…

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

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Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

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Q: (9х2 — 9х — 10) : (3х — 2)

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Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: To determine whether the series ∑n=1∞​(3+8n2)(2n2+1)​​ converges or diverges, I'll use the Direct…

Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

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Q: If n(A U B) = 96 and n(A) = n(B) = 69, find n(A n B).

A: Let A, B be sets and n(A), n(B), n(A∪B) be the cardinality of the sets A, B and A∪B respectively. It…

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Q: What is the value of sec¹(2)? A B C D 5 T 되어 3 -- 3 3 5T 3

A: Let sec-12=x  then     secx=2 As secant is the reciprocal of the cosine function, i.e.…

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

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Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

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A: Given, 3(i-2j)-6(i+6j)

Q: (b). Apply the indicated operator A2(x3 + 6x2 + 2x).|

A: Given term is  ∆2x3+6x2+2x

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Q: If w= = 3/4x

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Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

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Q: A = - 13 -2 1 3 0 4 , C = 2 1 7 2 -3 5 -9

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Q: а. (4D + 1)(D — : с. (D — х)(D + х)

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: S7=1−1/√2+1/2−12/√2+14−14/√2+1/8.

A: Given:

Q: If n(A) = 104, n(A U B) = 141, and n(A n B) = 42, find n(B).

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Q: If n(A) = 102, n(A U B) = 159, and n(A n B) = 45, find n(B).

A: Hi there! Since there are two different questions we will solve one question for you. As the first…

Q: 2√√/2x-x2 S S 0 0 5√x² + y²dydx

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Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: (2). 2 Z√2 5

A: Solution: (z√2)5/(z√2) = {z5(√2)5}/(z√2)                         = z4(√2)4                        =…