determine if series is convergence conditionally or divergent. state your reasoning make sure you identity the test used

Q: V3 V2 XK V11 V10 05 Figure 1: Graph G. V12 1. (a) Give a vertex cover of size 5 in the graph G in…

A: Vertex cover: In graph theory, a vertex cover (sometimes node cover) of a graph is a set of vertices…

Q: 1. Evaluate the following integrals: a) fin(x+x²) dx, b) 17 dx, c) √4x-x²dx

A: We have to find the integrals value ..for this we using substitute method or integration by parts…

Q: Solve the system and write the general solution: -3x+4y+5z=1 2y - z=1 -3x+14y =6 A)The system has a…

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Q: Let C be a circle of radius r centered at the origin, and let F(x, y) = (x, y). Use two methods to…

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Q: Problem 8.1: Compute the LTs of the following three unrelated functions: ∞ fi(t) = [(-1)¹u(t− n) n=0…

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Q: Find the mass of a thin plate with density p(x, y) = y occupying the triangle with vertices (0,0).…

A: We can use a double integral to find the mass of the thin plate. The mass of a small piece of the…

Q: Find the standard form of the parabola that opens to the right ,has a vertex of (6,2).

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Q: linear transformation

A: (a). According to the question,  To show that L is a linear transformation, we need to prove two…

Q: Find two numbers whose sum is 22 and whose product is a maximum. The two numbers are (Simplify your…

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Q: 9.5. Compute the minimal polynomials of the indicated numbers over the indicated fields; cf. Ex-…

A: We need to find the minimal polynomial of the indicated numbers over the indicated fields from part…

Q: Let F =< xy, 7z, 4y: Jo C Use Stokes' Theorem to evaluate F. dr, where C is the curve of…

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Q: et R be a PID. 5) Prove that every nonzero nonunit element is divisible by a prime lement. i) If…

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Q: Use LT to find the PS of the following DE (where w and w₁ are constants): (x"+w²x = sin(w₁t) {x"}…

A: Given x''+ω2x=sin(ω1t)x(0)=x'(0)=0 From the Laplace Transformation L[x''+ω2x]=L[sin(ω1t)]…

Q: -77 dB- +20dB/dec -20dB/dec 10¹ 10² 10³ 104 W

A: A transfer function is a mathematical representation of the relationship between the input and…

Q: Find the linear approximation for f(x) = cos x at x = π/2

A: Linearization: We know that, The Linearization at x=a is given by L(x) = f(a) + f′(a)(x−a)  We have…

Q: 3) Express the volume of the part of the sphere x² + y² + z² = 4 inside the paraboloid 3z = x² + y²…

A: The given problem is set up an integral that gives the volume of the given solid. Given solid is…

Q: 3. A piece of cylindrical volume, as shown, find Top area? the lateral area? and volume of this…

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Q: Problem 8.3: Use LT to find the PS of the following DE: {x" - 2x' 15x = e-3t+e5t = x (0) - = 2, x'…

A: The given problem is to find the particular solution for the differential equation by using Laplace…

Q: Determine {f}, where f(t) is periodic with the given period. Also graph f(t). f(t)=t, 0<t<1, and…

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Q: The intensity of light below the surface of a clear lake depends on many factors. One model shows…

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Q: A catering service offers 6 appetizers, 11 main courses, and 6 desserts. A banquet committee is to…

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Q: 4. Let y = [3] orthogonal and u = to u. 3 Write y as a sum of a vector in Span{u} and a vector

A: We shall solve first question only as you have asked more than one question as per the company…

Q: Given that f(x) = cos(4x) about x = 0 a. Provide the Taylor Series representation of the given…

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Q: Find the flux of the vector field F = S = {(x,y,z): z= cos y, lys, 0≤x≤2). Normal vectors point…

A: The given problem is to set up an double integral to find thr flux of vector field and also to find…

Q: A Leslie matrix is given below with the usual age groups, 0 year old (0-1), 1 year olds (1-2), etc.…

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Q: Athletics of the 4,800 students at Medium Suburban College (MSC), 50 play collegiate soccer, 60 play…

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Q: 2. The vector space C[a, b] is the set of all continuous functions on an interval a = f(t)g(t)dt Š a…

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Q: 6.2.1.b Find the cluster points of (see _picture). For each cluster point, find a subsequence…

A: Given the sequence :  {sin(n+1/n)π/2} We have to find all the cluster points of this sequence. Also…

Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi+yj+zzk and S is the…

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Q: Find a formula for the function graphed Use u for the Heaviside function. 13

A: From the given graph of a function, f(x)=0 , if x&lt;2f(x)=1,  if 2&lt;x&lt;4f(x)=0   if x&gt;4

Q: How did they get Y(s)? I tried, but I don't get how to convert the y' notation.

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

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Q: 9 (s+8)4 Find the inverse Laplace transform of

A: An Laplace Transformed function is given.

Q: 3 Prove that x + 2 is irreducible over Q, but is reducible over Z5 and show its factorization in…

A: Irreducibility by rational root test

Q: If a die is rolled 20 times, there are 620 different sequences possible. The following question asks…

A: A die is rolled 20 times and there are 620 different sequences possible. To Find: what fraction of…

Q: Solve for x only by using D-operator methods in the following set of simultaneous equations: (D)…

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Q: The table to the right gives the cost of living index (COLI) for six East Coast counties and six…

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Q: olve the given initial value problem using the method of Laplace transioms 26, 0≤t≤9, y' + 2y' +…

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Q: Find a power series for the function, centered at c. 8 3x + 2 f(x) = 00 n = 0 = I C = 5 Determine…

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Q: 1. d²y(t) dt² + 8 dy(t) dt + 25y(t) = 10u(t)

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: For each of the following infinite series, determine whether the series con- verges or diverges. You…

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Q: Is F = (3x² - 4xy, 2x²) conservative? If so, find a potential function. Support your answer.

A: Here we have to find whether F is conservative or not. If it is conservative then we have to find…

Q: Suppose f: [a, b] → R is Riemann integrable. Let e > 0 be given. Then show that there exists a…

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Q: Find the distance between x = 10 -3 and y = ㅗ -5

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Q: 22. P = 1 1 01 00 1 A = 500 03 0 00 1 2 A' = 5 22 0 32 001

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Let f be a positive, continuous, and decreasing function for x ≥ 1, such that a = f(n). If the…

A: Given Data: Let us consider the given data, ∑n=1∞1n2+1, twelve terms.

Q: Find the equation in standard form of the parabola with focus (2, -3) and directrix x = 5.

A: The parabola with focus 2, -3 and directrix x=5. To find the equation of the parabola.

Q: 2. Prove that the chromatic number of K3, 4 is 2.

A: I have explained everything with in the solution, please go through that.