Consider Z3[√√2] = {a+b√2: a,b € Z₁}. What is the multiplicative inverse of 1-√2 in Z3[√21?

Q: Astroid is given by rectangular equation r2/3 + y2/3 = 1. In parametric form the curve is given by…

A: Note: "Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: M₁=•fc'·b·d² w. (1-0.59 w) 200-106 = 0.9.20.7-300-480² w-(1-0.59 w)

A: Sol:- 200⋅106=0.9⋅20.7⋅300⋅4802⋅w(1-0.59w) It an be re-written as :-Let…

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A: Write the logical operators for the given proposition using A, B, C, D, E and F . "If either Charles…

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Q: d) Estimate the sight distance for a car traveling 67 mph using the functions from parts (b) and…

A: Note:  As you requested answer for only subpart D so, I answered here only subpart D.

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A: Given equation:   9x2+4y2+z2-36=0 Rewrite the given equation:   9x2+4y2+z2=36 Divide the whole…

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Q: Prove that Vx, y ER: x² + xy + y² ≥ 0, and that x² + xy + y² = 0 if and only if x = y = 0. Hint:…

A: Given : x2+xy+y2≥0      ∀ x, y ∈ℝ To Prove : x2+xy+y2=0 iff x=y=0

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Q: Determine the effective annual yield for each investment. Then select the better investment. 6%…

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Q: subject to 4x₁ + 3x₂ ≥9 3x₁ + 9x2 25 X₁, X₂ 20 subject to 4 y₁+3y2 ≤7 3 y₁ +9y2 ≤ 5 Y₁, Y220 b.…

A: Solution :  Given linear programming problem Minimize  C=7 x1+5 x2Subject to  4x1+3x2 ≥ 9…

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Q: Let N. H. S. D. R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

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Q: (a) Let V=Span (i) {··O·} (iii) {D.B} {0.0} {·O·} Determine whether each of the following sets is a…

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Q: 12. Determine the particular solution of the following differential equation: y'= e3x+2y Where: x=0;…

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Q: Write the corresponding differential equation for the system shown R(s) 2 s³ +2sª +4s³ +5² +3 C(s)…

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Q: 3)

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Q: 200-106 =0.9.20.7-300-480² w-(1-0.59 w)

A: We are given the following equation.    200·106=0.9·20.7·300·4802 w·1-0.59w In the above equation,…

Q: 4.) Verify the Expansion of the triple vector product A x (B x ) = B⋅ (A·C) - C (A. B) by direct…

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Q: Solve the following equations. Your solutions may be complex. - (a) (x + 1)² − 4 = 0; (b) (x-1)² + 4…

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Q: Define f : R → R by ƒ(x) = x². Compute the following, or determine if they do not exist. min…

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Q: M₁ = -0.85-fe`·a·b· (d-2) 200 106 = 0.9.0.85-20.7. a 300-480- 2)

A: Sol:- Let  f(a)=0.9⋅0.85⋅20.7⋅x⋅300(480-a2)-200⋅106∴f'(a)=4750.65⋅(480-a2)-2375.325aLet ; a0=951st…

Q: 4. A survey is given to 1,432 people about whether they take daily supplemental vitar whether they…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: In Exercise 15, you found the second solution to the Legendre equation for 0 and 1 Qo(z) - log (1).…

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Q: 2. Almost! But there's nothing that maps to 0. In your notes at the top you've listed ℕ={1,2,3,…},…

A: Solution:  f : Z → N Consider f(x) = |x| Now, we see, f(-1) = |-1| = 1 and f(1) = |1| = 1 although…

Q: A = (1.2i+1.5j) B=(1.21+1.5j C = (-2k) m m + 2k) m

A: Given: The vectors are: A=1.2 i+1.5 j mB=1.2 i+1.5 j+2 k mC=-2 k m To draw: The vectors in…

Q: M = {(1,2) (3,4) (5,6) (7,8) (9,0))* O Function O Not Function ★

A: Function or not determined

Q: 18. The following sets of ordered pairs are functions. Give a rule that could describe each functio…

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Q: What should be the best approach to solve these types of equation: 3x² 63 +12y = 0 3y² 63+ 12x = 0 -

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Q: Function Not Function f(x) = = Function Not Punation √y = x³ +2 Function x +4 3 Not Function

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Q: 1. Let C be a convex set. Let 3 0 be a fixed number and define BC = {z | z = Bu for some u € C}…

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Q: 42. Let a and b be two integers such that a² + ab² + b³ = 0. Prove that a and b must both be even,…

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Q: Let N, H, S, D, R, J, and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

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

Q: 15. (D²+1) y = cos x

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Q: ask 3 ========= Subtask b ------------ - Let ? be the set {true, false}. Then one can define the…

A: Here, in the question, we have to write the statements as a logical formula and also say if it is…

Q: Negate the statement Vx[C(x) → G(x)] such that every negation appears to the right of every…

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Q: Solve for the determinant of the following matrix: 2 4 9 8 4 25 10 - 3 4 14 9 0 2 1 1

A: Using formula for determinant.

Q: M₁= o.fc.b.d² w.(1-0.59 w) 200-106 = 0.9.20.7.300-480² w-(1-0.59 w)

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

Q: 1 ---D-A- x1 0 + x2 1 + x3 -4 + x4 0 4 -12 -10 11 9 -8

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