Let a plane ax + by + cz + 1 = 0, where a, x = y = z, 45° with the line x=y-z = 0 and (2, 1, 1) is 3 units. Find the value of 0 and the equation of the plane. b and c are parameters, make an angle 60° with the line with the plane x = 0. The distance of the plane from point

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A: The answers for each of the questions are given in the next steps.

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A: please find the attached answer

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A: Please find the attached soltion

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Q: Chapter 6, exercise 4.1: Write the product x²yx-¹y-¹x³y³ in the form x¹y¹ in the dihedral group Dn.

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A: please find the attached solution

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A: Please find the answer in the next step in details.

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Q: What matrix would the translate by [1, 2, 3] be? 0 1 0 0 0 0 2 0 0 0 0 3 0 0 0 0 1 0 1 0 0 0 0 1 0 0…

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Q: Let A = {p , q, r, s, t, u, v}, and let R be the following equivalence relation on A: R = { (p, p)…

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A: please find the attached image

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A: Given : ℤ is a set of integer. To prove : ℤ is subgroup of Q under addition.

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A: Given,

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Q: Given the differential equation y" + xy = 0 and assume a solution of the form y = Choose All Correct…

A: Given differential equation is y''+xy=0 The solution is determined as shown in the next step.

Q: 16! 237 (mod 17. 19)

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Q: |x|· x x+0+ x² (a) lim x² xxx + √√3x + 1 x² - 10x (d) lim Calculate the following limits, or explain…

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A: It is given that,   f(x, y) = cosy sinxx,x≠0cosy,x=0 We have to show that,  fx, y is continuous.

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Q: 8. 43-(125+ 25) = 59 43-5 4x4j 4x16-5 65-5=59 10. 1/2+2/4 + 6² =

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Q: Determine a CRS modulo 17 whose elements satisfy both of the following properties: i) congruent to 3…

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