For the next 3 questions, write the elements of the set of your answer in ascending order. If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 4, 6, 8}, B = {3, 5, 7}, C = {1, 5, 7, 8, 9}, find:

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Q: x+y= 3 _;b%3D m = x-2y = -6 m = %3D %3I

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Q: Attempt all the questions: Q1. (a) verify whether (A + B)(A + B) = A² + 2AB + B²

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Q: 1 3. Find the coordinate Vector [x]3 of the vector x = relative to the given basis B. 1 3 B = -4

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Q: Which of the following is a binary operation if a and b are in S? a.a*b = ab+ b², S= set of negative...

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A: W and Y do not represent tariff revenue. They are deadweight loss.  

Q: 8 w y - 1 A UIE TNUerse of 7. We then have:. B has an inverse if and only if it is bijective, Theore...

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Q: 9. Find all real values of c such that the vectors and are linearly independent.

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Q: Exercise 3 Calculate the Taylor series of order 3 in x =1 of In(1+ x) x2

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Q: For what value(s) of k will y 1 be a solution of ty" + (t – 3)y' + ky = 2te¬2t? e2t

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Q: Eill in the blanks to complete the formal. proot of the following argument: of

A: This is a problem of Logic.

Q: The valu 3

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Q: The determinant of the matrix M is shown below is 1 2 0 3 4 0 0 0 0 0 2 M = 4 3 1

A: Solution:-

Q: Mark each statement True or False. Justify each answer. (d) Between any two unequal rational numbers...

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Q: Find the bases and the dimensions for the null, column, and row space of the matrix A. What is the r...

A: To find the bases and the dimensions for the null, column, and row space of matrix A. A=13-51501-227...

Q: Let U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {3,4,6,7,8,10,11} D= {1,3,5,6} Find...

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Q: -3t Evaluate (i) , te sin t dt sin mt dt (iii) L 0. e sin t dt (ii)

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Q: What is the area of the shaded region? 97 mm 34 mm 87 mm 38 mm

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Q: A- Use the fixed point and Newton-Raphson methods to estimate the root of the function, employing to...

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Q: ant of the ma 2 0 01

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Q: C. Complete or identify the trigonometric and hyperbolic functions = quịs e b. 2 C. 2. = eyuis p

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Q: Problem 1. Find a b if Jal = 10, b| = 9, and the angle between a and b is -4 radians. %3D a b=

A: Given that: a=10, b=9 and the angle between a and b is −π6. To determine the dot product of a and b.

Q: The integers -10, -8, -6, -4, -2, 0, +2, +4, +6, and +8 LEARN ON ME.: are assigned to the letters W,...

A: Given: The integers -10, -8, -6, -4, -2, 0, +2, +4, +6, +8 are assigned to the letters W, L, E, O, A...

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A: This is a problem of linear transformation.

Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0.35 ...

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Q: Find the transpose of the matrix. 1 4 62 4 98 3 6 8 9 0 2 3 08

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Q: (PVQ)→ R RVS 2. P-

A: We have to complete the indirect proof by contradiction.

Q: 3. Decide if the following improper integrals converge or diverge. dx (a) x2 + 4 (b) . xe" dx da (c)...

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Q: dx Solve the differential equation dt

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Q: 2 5 Given A = The value of the 0 3 determinant |Aª -5A³ + 6A² + 21| = %3D

A: A2 = 25032503 = 2×2+5×02×5+5×30×2+3×00×5+3×3 = 42509 6A2 = 642509 = 24150054

Q: QUESTION 9 By using the principle of mathematical induction, prove that n (3n - 1) 1+4+7+.......+ (3...

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Q: 60 8.

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Q: SI Find the point of intersection of the following lines and groph them. 2r+3y=6 and x-y=)

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Q: Answer the following True or False. (h) (0,1/2) is an element of Q x Z (i) (0,1/2) is an element of ...

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Q: The inverse of the proposition it xy = 0 thenx-0 is O xy = 0 only if x=0 O if xy=0 then x0 • if x = ...

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Q: 4х + 2у -8 6x - + 3у — 12

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Q: Let u = (-1,3)and v = (1, -1), then proj,yu is:

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Q: urve de- ), y =

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