2. (Eisenstein arithmetic): Express your answers in the form x + yw. 2+5w-1-7w = (2+3w)·(5-w) = %3D (1 – w)5 = %3D

Q: X+21 (A) 0.8 (2x+ x) + 3(7 - 4.1x) %3D y (B) (6x+ 22y) = (C) (3x- D-(6x+ 1) = -3x-2

A: Start with  know side of the equation and try changing the equation in the form of other side

Q: -3(4x + 3)+ 4(6x+1) = 43 %3D

A:

Q: If possible, write -4 – 2x – 3x as a linear combination of x - x?, -a? and 1 + x². Otherwise, enter…

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Q: 4a(7a²-5a-7)+8a³+4a²+4a-15 For a = -3

A: To evalaute the value of given expression at the given value of a.

Q: - 6(7q? – 4q + 1) + 5(- q² + 6q - 6)

A:

Q: frved 4x-5x-15 de

A: we use to solve this integral by using partial fraction method

Q: Fill in the blank so that the resulting statement is true.

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Q: 8n+5 II (1+i) = k=1

A: To find ∏k=18n+51+i:

Q: 3s – 7 s- 2s + 3

A:

Q: Simplify the following expression: (6n4 – 2n2 + 4) – (7nª + 3 + 8n) + 8n - -n4 – 2n2 + 16n -n4 – 2n2…

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Q: (4r2 – 6x + 3) + (2x² + x – 8)

A: Let us consider an expression, (ax²+bx+c)+(-dx²-ex+f) = (a-d)x²+(b-e)x+(c+f)  This is the required…

Q: Consider the following expression -4n2+6n-3. What is the coefficient of the n2 term?

A: -4n2+6n-3 we have to find the coefficient of the n2 term

Q: Exercise 2. Fiad multiplicatiou table of a greupG if @) IG(=2, (6) IGI= 3.

A: Given: a) G=2 b) G=3

Q: 14-5)+(3-l6i

A: topic- complex numbers real part is added to real part and complex part is added to complex part of…

Q: Find £-¹{ g²-6s+13} 1 S L

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Q: 4(x+3) -1=7

A:

Q: Do this. Grouping

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Q: x-2.5)⁴ + ( x- 1.5)⁴ = 1 in Real Numbers

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Q: (I + 2A)~1 = [ 1 4 5-

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Q: 3(x+1)²-48=0

A: Given equation: 3(x+1)²-48=0 Simplify the above equation:…

Q: 8*+9 = 32*-3 3(4x-1) = 4(x+3) (round to two decimal)

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Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

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Q: For each of the following sequences, if the divergence test applies, either state that lim an does…

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Q: 4a² • 3a5 = (4 + 3)a² + 5 = 7a 7 %3D %3D

A: The solution are as follows

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: X=6{2+3[2(8-3)+(4+1)-2]}

A: Given,          x=62+328-3+4+1-2

Q: 10 What is the 6th term of (x − 1)¹⁰-

A: To find 6th term of x-110. Formula for general term of expansion of a+bn is given as -…

Q: x² - 5x + 6.+3 x² -9 5x-10 and write the answer in simplest form

A: Given: x2-5x+6x2-9×x+35x-10 To multiply the answer and write in simplest form.

Q: (s+1)* (s+2)

A:

Q: (-4)* 5k +1 k=1

A: We have to find if the series convergent or divergent.

Q: 4(2x+5

A: 4(2x+5)=?