True or false. Note that you must explain your work. It is not enough to just answer true or false. (iii) In the multiplication table of Zn, each element of Zn appears exaclty once in each row and each column (except for the first row and first column).

Q: 2-201 0 1 1 1 103 A = 0 1 -1 3 0 1 1 1 1 1 1 Which is the element A3,2?

A: To find the element A3,2  of the given matrix A.

Q: (a) 5 Find the coefficient of x in the expansion of (2x -) . (b) Hence find the coefficient of x in…

A: You can use the binomial expansion to solve the problems as follows :

Q: 2.3) Expand andexplain thhe steps involved. i) (3r-7 1 + 15) ii) (2 2,9 3rp) LAdd File

A:

Q: The expansion of (1 - x)® = A 1+4x - 7x² + . B 1- 4x + 7x2 - C 1+ 4x - 7x2 + Đ 1- 4x + 7x² – 23.

A: Please see the explanation below

Q: then E-1 %3D

A:

Q: 1) log 5x log (2x +9) 2) log (10 - 4x) = log (10- 3x) 3) log (4p- 2) = log (-5p+ 5) 4) log (4k-5) =…

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Q: 1.38 Prove or give a counterexample: if rn increases and yn increases then the product (an Yn) is…

A:

Q: 1 37 a Let A 1 1 Find a QR-factorization of A. If R = then the 1 value of a is , the value of b is…

A:

Q: Please explain #29 step by step

A: Consider problem no. 29

Q: 1 (3n-2)(3n+1) Do this question in a paper, take the picture or scan it and upload it in the given…

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Q: x²+x-2 = o x²+2x-x - 2 =0 xx+2)-1(x+2)=0 (x+2) (x1) = 0 X=-2

A:

Q: 2. Find the formula of the general n th term . (i) (1,3,5,7,.) (1 2 3 4 (ii) 2 3 45" 11 (iii) 48 16'…

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

Q: The coefficient of x2 in the expansion of [1- x/2]3  -   (a + x) 4 is 2a where a>0. Find a.

A: The coefficient of x2 in the expansion of [1- x/2]3  -   (a + x) 4 is 2a where a>0. Find a

Q: [1 2 -3] (b) If A =0 3 0 2 -2 2, find the value of A" using Cayley Hamilton Theorem. Hence verify…

A: We will find out the required value.

Q: find the partial fraction decomposition of each rational expression.

A: 21). Given rational expression is:  1x3-8 To find the partial fraction decomposition of the given…

Q: x1 + 0.5x2 + 0.33x3 +0.25x4 = 1.1 0.5x1 + 0.33x2 + 0.25x3 + 0.21x4 1.2 0.33x1 + 0.25x2 + 0.2x3 +…

A: We need to find the solution of the linear equation of order 4.

Q: In3 in2 4-ex xp- xV16-Inx 1 x Vinx In2 iv. Ino.5 e2x +1 1 O 2/22 O8-2/15 O 3 2 OIn 2

A:

Q: 4 [X1 X21 If 3 [x3 X4. + lx3 + x4 X1 +x2 3 -1 4x4. 1. х, 3-2, X2 3D 2, хз 3 2. х 3D 2, х, %3D —2, хз…

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Q: - 3 4 3 - 13 - 10 - 10 -3 Find the LU factorization of 9 L = U = II

A:

Q: 10 Find term number 7 in the expansion of: (3x + 5)°. the coefficient for term number 7 = the…

A: To find the term number 7 in the expansion

Q: 25–38 ■ Multiply or Divide Perform the multiplication or division and simplify.

A: x2+2x-15x2-25×x-5x+2x2+5x-3x-15(x-5)(x+5)×x-5x+2x(x+5)-3(x+5)(x+5)×1x+2(x-3)(x+5)(x+2)(x+5)(x-3)(x+2…

Q: A population grows according to the recursive rule PN = 4PN-1 , with initial population P0 = 5. (a)…

A: Given Information:  PN = 4PN-1 P0 = 5.

Q: 10.The first three terms in the expansion of (1+x – 3x-)* are the same as the first three terms in…

A: Answer of Question #11 is not match with given option.please check it carefully...

Q: (n-2)! 2! = In-8)! 8! (n-2) (n-3) (n- 4)ln-5) (n.6) In-1)ln-e)! (n-P)! 8X7X6 x5 X4X3 (n2)In.3)…

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Q: 5 0.6 0.1 Apply Gershgorin's theorem on B = -1 6. -0.1 1 2

A:

Q: 3 -2 381. 2 -1 L4 -2 -3 -1] OInterchange rows 2 and 3. Multiply row 1 by 2. O Multiply row 3 by -2…

A: According to the question, we have to perform the various operations given on the argumented matrix…

Q: use the Binomial Theorem to find the indicated coefficient or term

A: Given: 29. (x+3)10 to find the coefficient  of x6

Q: 12 Find the power of x in that term of the expansion of 2+ 2 which has the greatest numerical…

A:

Q: use the Binomial Theorem to find the indicated coefficient or term

A: We have to find the third term in the binomial expansion of: 3x-29 We know that the (r + 1) th term…

Q: 6x2+8x+2 x3+2x²+x %3D O In | x3 + 2x2 + x + C 2x3+4x2+2x X* + 2x3x2 + C 4 3 2 02 In x3 + 2x2 + 지 +C…

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Q: Activity 2 Find the factors of the following: 1. 4n2 - 49 2. 196n2 - 144 3. x2 - 9y2 4. 4x -144y* 5.…

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Q: -1/2 p. Find the coefficient of x" in the expansion of (1– 4x)2.

A:

Q: 4x-3=8 identifying terms of 'x)' c) Vanable d) operotor a) coefficient b) constan

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Q: 1. Find the coefficient of 2³6 in the expansion of 6 (1 +5x²5 + 12x50⁰) (x+x² + x³ + x¹ + x³ +rº +…

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Q: 2 -1 2 3 0 1 5 1 -2 03 -2 -4 1 6 7. Check your answer in item 6 using Cofactor expansion. 1

A:

Q: Doman:x Domain: XI Domain:XI Donan X)

A:

Q: x²+2x-3 Find the product (x² + 3x- 4). x²-2x + 1 O (x+3)(x+4),x#1 O (x+3)(x- 4),x#1x#4 O (x-3)(x+…

A: Given  (x²+2x-3)(x²+3x-4)/(x²-2x+1) Consider,  x²+2x-3 = (x+3)(x-1) x²+3x-4 = (x+4)(x-1) x²-2x+1 =…

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Given:Without expanding completely, find the indicated term(s) in the expansion of the…

Q: I was hoping to get my answer checked/ help solving it since I think it's wrong

A:

Q: 3x5 Evaluate 3x4+6x³-3x2-6x O x²-4x (x-1) 1/6(x+2) 16/3 +In 2 X+1 Ox²-2r (x-1) 1/6(x+2) 16/3- +In 2…

A: This question related to integration using partial fraction.

Q: 2n+5 00 Zn=1 3n

A:

Q: a.Find the coefficient of z in the expansion of (2z³-3z) b.Find the coefficient of y z2 in the…

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Q: 8. (7n + 8)(8n – 3) Dividing Polynomials 9. (18,5 + 36r* + 27r³) + 9r 10. (2n + 20n² + n) + 10n²

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Q: Find term number 3 in the expansion of: (3x + 2)* . the coefficient for term number 3 =| 216 the…

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Q: 21. If A = |−2 0 a. b. C. d. 1-3 -1 -21 -1 2 - 21 11 -2 121 2 18 2/1 -1 1-2 외 0 | What is the…

A: Given matrix is: A = -3-1-2-2-1002-1

Q: 10. Find term number 3 in expansion of: (4x + 2)^9. (Note, term number 1 is (4x)^9) the coefficient…

A:

Q: Find the indicated term. 17. The fifth term in the expansion of (x – 3)7 18. The coefficient of x®…

A: to find  fifth term in the expansion of (x-3)7

Q: 5 - 1 3 Compute A - 413 and (413 )A, where A = - 5 2 -6 1 A- 41 = O (4I3)A = O 2. 4)

A: