Find a primitive root (i.e. a primitive (p? – 1)st root of unity) in F3[i], and write down the corresponding discrete logarithm function I: F3[i]* → Z/8Z.

Q: In the function P(x) = x² + 16, what is P(-4i) equal to? type your answer.

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Q: Prove, using an element-chasing argument, that {15n : n E Z} = {3n : n E Z}N{5n : n E Z}.

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Q: Find the inverse of the following matrices using Gauss-Jordan Method

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Q: 'What Is Ci-a a. l17 + 44 b.117-4i C. 44 ti17 d. 44-1171

A: complex problem

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Q: Problem 1: Given: -2,3,8, 13, ... Find the following: (a) 6th term of the sequence; (b) an formula o...

A: Here we use arithmetic progression.

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Q: 6-2 Assume that Is J foxg) dxdy is gives. e) s Latch the integnation region b) Chonge the integratio...

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A: (5) From Symmetry we can see that centroid of the bounded region is at (0, 0)

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Q: Get the interval and radius of convergence of this given power series (х — 3)" | n n=1

A: Given series is ∑n=1∞ (x - 3)nn

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A: find curl ,

Q: Box Plots Use the following Box Plot about the height of boys and girls to answer these questions. W...

A: The box plot is given about the height of boys and girls.

Q: Evaluate the following complex expressions. Present your answers in the trigonometric orm. Box your ...

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Q: selecting steps that are not valid (that is, they do not follow from the assumptions or from earlier...

A: This question related to polynomial and its roots.

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Q: (2x - y)da + (4æ + y- 6)dy = 0 C = x - y-1 Option 2 None of the choices C = x +y- 1 C = x-y+1 Option...

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Q: 8) Use the Gauss-Jordan method to find the inverse of the matrix A %3D 23

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Q: 4. Determine the number of zeros of the function f(z) = 2z* – 2iz³ + z² + 2iz – 1 in the upper half-...

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Q: 1.W.4 We'll work inside the vector space of polynomials in degree < 2, which is denoted P<2. Let P1 ...

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Q: uctioln of utili nousenold function: U = | e-p" [In Ct + BIn(1 – 4)]dt, (11.17) where the parameter ...

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Q: Using the theorem on determinants, show that a a? b b2 1 |1 A = 1 (b – a)(c – a)(c – b) - C

A: We have to show that A=1aa21bb21cc2=(b-a)(c-a)(c-b) by using the theorem on determinants .

Q: (i) Consider the graph of the function y= f (x) where f(x)=e* +e * +1. (a) Determine whether f(x) is...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...

Q: Compute the line integral of the vector field F(r, y, z) = (x + 2y + 3z) i+ (2x + 5y)j+(z – 3y)k alo...

A: As per policy, we will solve the Question 4 only please repost it to get solution of Question 5. In ...

Q: find x in degrees Sin x=0,8766 tanx= 3.7834

A: Given that sinx=0.8766 and tanx=3.7834 To find x in degrees

Q: 7. Solve the given differential equation. * SHOW YOUR COMPLETE AND CLEAN SOLUTIONS. 2r² (x² – x) (y'...

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Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1. Ay = (1 – x)e2r y = (2 + 3x)e- y = (1 + x)e-...

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Q: Let O = (0,0), and a = (2, –1) be points in R2. Set G = B (O, 1) = {v = (x, y) € R² : d2(O, v) < 1} ...

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Q: Match the theorem or rule for what it justi 25 One pair of consecutive sides are congruent It has be...

A: Given: One pair of consecutive sides are congruent:  It has been proven to be a mombus and a rectang...

Q: (D5 + D4 - 7D3 - 11D2 - 8D - 12)y=0 y = c,e* + (c,+czx)e-+e"(c,cosr +€ sinx) A B © y = c,e+ (c,+czt)...

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Q: If A is a square matrix such that A =1, then A'is equal

A: Given, A is a square matrix such that A2=I.             

Q: Solve the given LP problem using the Simplex Method Minimize: Z = 25x1 + 35x2 Subject to: 3x1 + 4x2 ...

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Q: d. 20 ( cos 120° +isin 120°) Based on De moi vre's theorem, the given below is equi valent to whi ch...

A: Let , z = 5cos 30° + sin 30° which is in polar form of complex number. Compare with , z = r cos θ + ...

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Q: Suppose that 0 <c <n/2. For what value of c is the area of the region enclosed by the curves y=cosx,...

A: Suppose that 0 &lt; c &lt; π2. We have to find the value of c at which the area of the region enclos...

Q: The Fourier series for the function f(x) = x, -T < x < T is sin nx E(-1)"-1; n n=1 a) Sketch the gra...

A: Given the Fourier series s1=∑n=1∞-1n-1cosnxn2=π2-3x212,-π&lt;x&lt;π. s2=∑n=1∞-1n-1sinnxn2=xπ2-x212,-...

Q: What is the radius of convergence of the series below? 2-n (x – 1)" |n + 1 n=0

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Q: How much is the selling price of a gas stove listed at ₱2,650 if a discount of 15% was given to the ...

A: listed Price(LP) = Php 2650  Discount % = 15%  Discount Price(D)= 2650×15/100 = Php 397.5 Selling Pr...

Q: Formulate a LP model for the OECS bank that will maximize net returns from the loans division and a ...

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Q: Find the future value, using the future value formula and a calculator. (Round your answer to the ne...

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Q: Using definition of Laplace transform, find F(s) if { 0 4. f(t) = e(1–2t)

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Q: 2 7s- 41S +84 ) FG)= (5-1) (s²-45+13)

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