1.68. Let A = {a, b} and B = {1,2,3,4}. Find (a) A × B and (b) B × A.

Q: -1) nt2 3.

A: To evaluate:    Rewrite the given form in simplified form:

Q: Problem 1. Do the following sets of vectors span R3? Select an Answer 1. 2 -8 2 2 -8 -1 2 Select an…

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Q: Find each difference

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Q: Let a = (-5, 5, 4) and 6 = (-1,-4, 5). (a) a × b x (41,-21,24) x (b) b × ā X = (c) (ã × b) × ã = (d)…

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Q: 4.) -8n + 4(1 + 5n) %3 -бп — 14

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Q: In a class of 50 students, 13 take chorus only (r₂), 23 take band only (r4), and 2 take chorus and…

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Q: Decide if the following n can be expressed as the sum of squares. If it is possible then provide…

A: This problem is based on the sum of two squares theorem. We first state the theorem and then give an…

Q: 3.9b + a3 + 27 - 3a2 + 5a3 - 2a2 + 2.1b + 7

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Q: 6 Q3. Evaluate Σή=1 5n2 - 7n.

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Q: 6.) Simplify: -2.5(-2b+ 3) – 6b

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Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

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Q: D \36 ст B 4 x +8

A: The tangent of a circle is line which touches the circle exactly at one point. If two tangents of a…

Q: Then where a11 where C11 = a12 = C12 = a21 = C21 = a22 C22= A 1 = (§ 8), B= ( − 4 ³ ) ,0 = (1 ²).…

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Q: If p = [7, 2]  and  q = [5, -1], find p - q.

A: Given: p = [7, 2] and q = [5, -1]

Q: A : x +5 = y+7 93. B: z+6 = x + 3 %3D C: y+3 = z+ 4 cars/ min cars/ min 7 () B cars/min cars/min…

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Q: Farmer Jim plants apple trees in a square pattern. To protect the apple trees against wind, he…

A: The problem can be simply solved by observing patterns of the red and green dots.

Q: The order of (3, 4) in Z4 × Z10 is  a. 4 b. 12 c. 40 d. 5 e. 20

A: The objective is to find the order of 3,4 in Z4×Z10 First find the order of 3 in Z4, then find the…

Q: Find x if mZ1 2x+ 10 and m22 3x-6. O a. 4 Ob. 24 Oc. 42 Od. 16

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Q: = B=( nds 2A – 38. Sean A %3D y B = Finds 2A 3B.

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Q: What is the sum of 5x + 3x - 7 and 12x + 12? A. 5x + 15x + 5 B. 5x+ 15x + 19 C. 17x + 3x + 5 D. 17x…

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Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: a. 4(3x- y) and 12x – 4y b. 32+ 16y and 8(4 + 2y) C. 3(x + 2y) and 3x + 2y

A: We have to find

Q: Which Decimal Squares best describe the following computations? a. 0.3 + 0.45 = 0.75 b. 0.350 – 0.2…

A: In a 10×10 grid, one of the smallest square has value 0.01. If the 10×10 grid is divided into 10…