Part 1: 1. Write the following sets in roster method. a. A={x]x is the letter of the word discrete} b. B={x|3

Q: 10! 9! с. 4!(10-4 )! d. 8p5 9! 10! b.

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Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

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Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

Q: tsmat

A: Topic : Laplace transform

Q: F (2, 12)

A: Given that  F( 2 ,12) It is the F statistic with the df1 = 2  and df2 = 12 df1 = Degrees of freedom…

Q: U W V

A:

Q: w(w-10)+40=0

A:

Q: 4. Swin (w - 2) dw

A: The given integral is: I=∫wlnw-2dw   Apply the integration by parts to solve the above integral.…

Q: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U…

A:

Q: Determine the equation of the hyperbola, h(x).

A: Equation of hyperbola: The equation of hyperbola center at (h, k) and semi-axis a=b=2A is given by,…

Q: Use the union rule to answer. If n(A) = 6, n(B) = 10 and n(A N B) = 4, what is n(A U B)? n(A U B) =

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Q: dx. Evaluate - 1)²(x² + 2) x+3

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Q: Let B = [b1, b2, b3] = -1 -1

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Q: 2+x2 x³dx 4. S (a²+x2)2

A: We have to integrate.

Q: Let B = [b1, b2, b3] = -1 -1

A:

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: z = b +, for a + 9 = . a

A:

Q: Use the union rule to answer. If n(A) = 10, n(B) = 15 and n(AB) = 8, what is n(A U B)?

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Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

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Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

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Q: 3 4 1 2 -2 -1 6 -3| Select one: а. 4 b. -40 C. 40 d. -4

A: Solve for the determinants

Q: 1 tX

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute  take…

Q: 10 Find whether A and B are independent in the following cases: (AB) = 256 ; (.B) = 768 ; (AB) = 48…

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Q: Find a and b such that 2 1 = a -4 + b -4

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Q: Find uxv

A: Given: u=-12;    v=31Note: if u=(A)2×1 ,…

Q: We expect a car's highway gas mileage to be related to its city gas mileage. Data for all 1198…

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Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

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

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: Let á = (–1, 0, 1), b = (0, 3, − 1) and ₹ = (1, 2, —2). a. Find à x b. b. Find (a + b) x č. c. Find…

A: NOTE: Refresh your page if you can't see any equations. . here we have . find the determinant

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: If A=(7,8) and B=(2,4,6) find A x B

A: Explanation of the answer is as follows

Q: z - 8 j, k, 64y3 + 125 I. -60x² +315x - 75

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Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: Let B = [b1, b2, b3] = -1 -1

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Q: j2 -j3 2 Determine 1+j)

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Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: We are given that, a→=6,7,-4, b→=3,2,2 We have to find: a→-b→×a→+b→

Q: Find u. v. [1.14, -3.26, 2.09, -1.87] = [-2.29, 1.72, 4.33, -1.54] = V =

A: Given u=[1.14, -3.26, 2.09, -1.87] =[u1 u2 u3 u4] say   v=[-2.29, 1.72 ,4.33, -1.54]=[v1 v2 v3 v4]…

Q: C. In the picture, prove that a(a+b)=c(c+d). a

A: Given : To prove : aa+b=cc+d

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.