Show that there are no polynomials f(x) and g(x) in Z[x] such that 1 = 2f(x) + xg(x)

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Q: -2 7 dx (d) 2 + cos (x)

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A: The given function is f(x,y)=x2-3xy+4y3, a directional derivative at (-2,0) in the direction of u=A…

Q: 4. Find the global minimizer of minimize xi + x3 subject to x1 – 10 0 X2 10- X1-10=0 f=64 5+ f=16…

A: The solution of the problem is given in tbe next steps.

Q: Q) find Fourier series on [0,21] (3) ƒ(x)=cos x = COS X

A: find the fourier series on0,2π fx=cosx fourier series is given by…

Q: Find the antiderivative of each function. 4a3/2 -1 (a) f(x) : (b) alx) = 3e% + sec2 |

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

Q: Show that x and 2 are coprime in Z[x]

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Q: (a) Use a graphing utility to graph the functions  f(x) = 3 cos(2x) + 4 sin(7x)  and  g(x) = 3…

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Q: me given graph. Select all that apply. 100 80

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A: Given sequence is 2, 4, 6, 8, 10, .......... We have to write the corresponding recursive algorithm.…

Q: Problem (1): Let r, s E Q with s t2 .r for all t e Q and let E = QIVr, V5). Prove that Gal (E/Q) =…

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Q: Question Identify anymisrepresentation issues in the given graph. Select all that apply. 100 80 60…

A: To identify the misrepresentation of the above graph :-

Q: C|80-85, 85-9o 39 90- 95 95- lo0, 100 - los 2子 15 3

A: Make a table as follows class interval frequency 80-85 6 85-90 39 90-95 27 95-100 15…

Q: While on a business trip in February, Bob Barrett charged the following expenses to his company's…

A: Correct option is - D

Q: Q2/ Complete the following table to find the values a, b,c and s

A: # the value 308 is given incorrect . it should be 3162-2845=317 so taking value 317 for calculation…

Q: sin(x²-1)y separable or not dy dx y2-1

A: To find given differential equation is separable or not .

Q: ) Find the antiderivative of each function. 4x3/2 -1 (a) f(2) (b) g(x) = 3e" + sec? æ (c) h(x) = 8…

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Q: et A = {a}

A: Given,        A = a

Q: 1. Assume that the n'th term in the sequence of partial sums for the series En=0 an is given below.…

A: We have sn=5+8n22-7n2 If limn→∞an≠0 then ∑n=1∞an is divergent. Now, we have the series…

Q: Without solving the exact answer, calculate sin(2) by evaluating up to six terms of Maclaurin series…

A: For the solution follow the next step.

Q: Prove that Σan σ(d) φ (n/d) nτ (n) and ΣIn τ(α)φ(n/d) σ(n). ||

A: As per the question we are given two sum identities including the Dirichlet convolution :…

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Q: Sketch the triangle with vertices O, P = (7, 0, 7) and Q = (3,0, 3) and compute its area using…

A: To find the area of the triangle using cross product method when it's vertices are given .

Q: ,for x 1 -X- Discuss the contuniuty of f andf'.

A: We have to discuss the continuity of f and f'

Q: You have a choice of two accounts in which to invest your money for one year. Account A pays 3.6%…

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Q: Solve the given system of linear equations using the Gauss-Jordan elimination method. x + 2y – 3z =…

A: The solution is given as

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Q: OShow ghat the equation z%-52²+3=€ has no 2. on the imeginery anis ond poecisely Two Solu tons En…

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Q: Find a general solution of the differential equation: у" — 4у" — Зу'+ 18у %3D Зе*

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Q: Make sure that a) The set {vi, v3 with vi = (2,9) and v = (1, 1) iş a base of R2 b)The set {vi, v3,…

A: We have to check the following : a) The set v1, v2  with  v1 = (2, 9)  and  v2 = (1, 1) is a base of…

Q: Find the mean, median, mode and range of the following data set. 1.9, 2.8, 1.2, 3.8, 3.2, 3.8, 4.3,…

A: Introduction: The first metric is the mean, which stands for average. To find the mean, add all of…

Q: x/1 – x dx

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Q: ) Find the antiderivative of each function. (a) f(x) = 4/2_1 (b) g(x) = 3e + sec? (c) h(x) = 8 sin x…

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Q: Question Identify any misrepresentation issues in the given graph, Select all that apply. 100 80 60…

A: Given, Graph showing temperature variation in Fahrenheit Vs hour of the day. To check the…

Q: Find the (a) true error and (b) relative error of the following: 1. The derivative of f(x) = x3 +…

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Q: The sum of the series CO Tn+1 (-1)" 32n+1(2n)! n=0 cos B) cos (). C) cos (E) A) CoS 3 - TC 3 COS D)…

A: cosx=1-x22!+x44!-...   (i)∑n=0∞-1nπn+132n+12n!=π3-π2332!+π3354!-...=π31-π322!+π344!-...using…

Q: . Apply Green's Theorem to evaluate the given integrals: a. 2x +y)dx + (2xy = 3y)dy where Cis any…

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Q: we Know that leitIcİtles) + 2 RelciĞ) + 2 Rece.c) = ? where C ,cnd e: are camplex nymbers

A: Given c1+c22=c12+c22+2Rec1c¯2 Where c1, c2 are complex number. Also given that c3 is complex number…

Q: Calculate the missing value in the truth table below: and not 0 1 0     1 True False Group of…

A: consider the table  and not 0 1 0     1 true False

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

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Q: Showthat S subring of RIKRZ+R3

A: For the solution of the problem follow the next step.

Q: (-2t+1 if t B Given the function h(t) : Determine one value for ß for which the function h(t) is…

A: Questions related to matrix and real analysis's topic continuity.

Q: ) Find the Laplace transform F(s) = L {f(t)} of the function f(t) = 2 sinh(at) – 8emt defined for t…

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Q: Determine whether the relation ? on the set of all people is reflexive, symmetric,  antisymmetric,…

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Q: Find 23 + 8i (а) lim z-2i z2 + 4

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

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Q: OI tr surface obtained by rotating the curve 1 y = 4 1< x < 2, 3x about the x-axis. b). Consider the…

A: a. Consider the surface y=x34+13x, 1≤x≤2. To find the exact area of the surface when rotated about…

Q: At time t = 0, a storage tank is empty and begins filling with water. For t> 0 hours, the depth of…

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Q: Find a general solution of the equation: 3x?y" + 2xy' – 2y = 0

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Q: initial value pr '(0) = 0 (upto

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