If p≥2 is a prime and a,b ∈Z(p) with a̸ = 0 ,we say that b/p a is the solution x∈Z(p) of the equation a ∗p x = b. For p = 2, 3, 5, work out a ‘division table,’ resembling the addition and multiplication tables of §3.5, showing what b /p a equals, for all possible a, b ∈ Z(p) (with a ̸= 0)

Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

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Q: 4. Show steps and find -9x²-9x-4 x³ - x 3 √⁹x² - dx. 3

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Q: For what integer of x does the graphs of the two equation intersect

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Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: and B = . show that 3 -1 4] (A + B)² # A² + B² + 2AB If A =

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Q: 13 - What is the Lagrange interpolation polynomial which passes through (2,2) and (4,6)

A: We use the Lagrange interpolation formula

Q: a) Solve for x in the equation, 3*+5 = 7* , giving your answer to 2 decimal places. b) Express (7 –…

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: 2. Using the fact that (AB)¹ = B-¹A¹, show that (ABC)¹ = C-¹B-¹A-¹.

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Q: b) Suppose x # 2. Find dif dx In y = In (x - 2)² √x² +1

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Q: When ax' – x* + 3x + b is divided by x – 2, the remainder is 59. When it is divided by x + 1, the…

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Q: 3. Factor each of the following fully. a. f(x) = x* + 3x³ – 38x² + 24x + 64

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Q: Suppose the multiplication cx is defined to produce (cx1, 0) instead of (cx1, cx2 ). With the usual…

A: The multiplication cx where x∈ℝ2 is defined as cx=cx1, 0 because x=x1, x2 where x1 and x2 belong to…

Q: Evaluate each of the following for x = 5, 7, 9 and 2. ∑x2 ∑x2 – 5  ∑(x2−5) 2∑x2- 5  2(∑x2- 5) 2)

A: Given:   X = 5, 7, 9, and 2.

Q: 3. Find all the values of x which satisfy the equation: (3 + x) (2-x) 10 5 = 48 (1-x) 2 (4 + x) -X

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Q: In a learning experiment, a subject is first given x minutes to examine a list of facts. The fact…

A: We are given S(x,y) = x2 + 5xy + 15x – y2 + 3y + 25. Calculating ∂S∂xand ∂S∂y ,   ∂S∂x=2x+5y+15 = Sx…

Q: b) Find (3512, 2020) and find integers x and y such that 3512x + 2020y = (3512,2020).

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Q: Find the product of (2x+ 3)(3x- 2) A 6x + 9x – 5 B 6x + 9x - 6 C6x +5x- 6 D 622 6x + 5x-5

A: (2x+3)*(3x-2)=?

Q: The set of exhaustive values of m for which both roots of the equation x2 – 2mx + m2 – 1 = 0 are…

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Q: Given a = (1, 2, 1) and b = (k, 1, 2) and a × b = √35. Determine the ax value(s) of k.

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Q: 11 Assuming A 3x4 and B 4x2: AxB is 3x4 4X3 3x2 2X3

A: Matrix multiplication is only valid if the number of columns of the first matrix are equal to the…

Q: Name Instructor: Stephanie Tran Date Precalculus Preparatory Material This worksheet is material…

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Q: B) Find m42 if mz1 = (4x - 7)º and m42 (10x+13)°. +11 = 2 P

A: To find m∠2 if m∠1=4x-7° and m∠2=10x+13°.

Q: can you please provide the answers for A(4)?

A: We need to find the area A(4)

Q: If Ax) = (x – 5)* thenf(x) equals A x-5e х — 10е 2r D 2r + 25 E 2х — 10е

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Q: onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A: In this question, the concept of Set Operations is applied. Set Operations The concept of set…

Q: Construct the addition table for Z5. Using this table, or otherwise, determine the following x in…

A: First we find addition table for Z5. Then find values of x.

Q: a. compute: 3. 5 2k b. compute: II k² +1 k=1

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Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

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