Please do only B(III) correctly in 30 minutes and get the thumbs up please show neat and clean work

Q: 1. Let H ≤ G. Then by a right coset of H in G we mean a subset of G of the form: aH = {ah: heH, aeG}…

A: 1. Let H≤G. Then by a right coset of H in G we mean a subset of G of the form: aH=ah : h∈H, a∈G. To…

Q: A curve C is given parametrically by x = cos(t) and y = cos(2t), where -≤t≤ Find and equation in x…

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Q: A rectangular triple integral can be expressed as an iterated integral in cylindrical coordinates as…

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Q: 3. A sequence di, d2,.,d is graphic if it is the degree sequence of a simple graph. Determine…

A: 3. Given that a sequence d1, d2, ...., dn is graphic if it is the degree sequence of a simple graph.…

Q: 14. A set SCR is closed if and only if S'CS.

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Q: 2. (a) Show that the list {p o(x), p 1(x), p 2(x),...,p n(x),...,} where Po(x) = 1, p₁(x) = 1 + x,…

A: 2. (a) Given list is p0x, p1x, p2x, ..., pnx, ..., where p0x=1,    p1x=1+x,    ......,…

Q: Use Kuratowski’s theorem to prove that the following graph is not planar.

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Q: a²u อใน 0²4 - 0x² = ²x cost e2x at (00) u(0,t) = 0, u(ñ, t) = 0, u(x, 0) = 0, u(x,0) = 0 at

A: Introduction: To determine initial boundary value problem, Laplace transformation is very important.…

Q: Consider the following problem; max f(x₁, x₂) = -x - x² subject to (x₁-1)³ ≥ x² Check whether the…

A: Given: The objective function is fx1,x2=-x12-x22 for the optimization problem. Also the constraint…

Q: Consider the sets X = {(x, y) E R²: x² + y² ≤ 1) and Y = ((x, y) = R²: x ≥ 0]. Sketch on R²the sets…

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Q: What is an eigenvalue and an eigenvector of a linear operator? Give a careful and precise…

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Q: The graph below shows contours of f. Does f have a maximum value subject to the constraint g(x, y) =…

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and 7…

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Q: Let M be a plane that contains the point with coordinates (-2,-2,-1) and is orthogonal to the vector…

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Q: a) Consider the following two-person zero-sum game: 1 3 1 4 2 -5 -3 5 6 1 20 -5) A= Use graphical…

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Q: Find the sum n-√n²+1 Mn n=1 --√n(n+1) 4n²-1 acamu Σ "Ln/n (2n+1) ((₁+1)(n+21.

A: Introduction: An infinite series can be convergent or divergent, just like a sequence. The sum of…

Q: So when constructing a matrix using the eigenvectors, the order of the eigenvectors doesn't matter?…

A: When we construct the matrix P using the eigenvectors found of matrix A, then let us say that the…

Q: Use the finite-difference approach to solve the problem(10) d²T for a 10m rod with h' = T(10) =…

A: Given: d2Tdx2+h'Ta-T=0, where h'=0.01m2 and Ta=20K. Boundary conditions: T0=40K and T10=200K.   To…

Q: (a) Compute the area of the region R₁ = {(x, y): 1 ≤ x² + y² ≤ 4, x ≤0} using Polar coordinates.

A: a) To Compute the area of the region R1=x, y : 1≤x2+y2≤4, x≤0 using Polar coordinates.

Q: Use the rules of inference to show that if 3x(M(x) ^ P(x)) and Vx(K(x) → ¬M(x)) are true, then…

A: Introduction: When an argument is given in quantified form, the rules of inference are also used.…

Q: If you are rowing a boat upstream, given the following equation that models your speed:…

A: f(x)=3x2-6x-13 Now, for any real value of x, this function(parabola) is defined. Hence the domain of…

Q: Describe the three types of critical points which can exist for a function of two variables and…

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Q: Thm. Let v be an inner product space. and жуєх V then ||_ [121]. [171] further equility is hold iff…

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Q: If C is any closed contour around the point z=−1, calculate the value of the imaginary part of the…

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Q: If x is any real number, then cosh x Σ n=0 n! + 198 Σ n=0 (-x)" n!

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Q: Determine wether the series is. conv. 8 Σ √rint! MI 8. (√²+1 -²√√²+1) Σ(20-3)! n=2 (2n-2)! Σ(²√5 -…

A: we have to find the convergence of series ∑n=∞(n2+1-n3+13)∑n=2∞(2n-3)!(2n-2)!∑n=1∞(n1n-1)n

Q: = (e) Find the formula for Fn, given by the 3-term recurrence relation Fn-1 + Fn Fn+1, Fo= 1, F₁ = 1…

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Q: Calculate the approximate to the integral -5 (24 +2x² − 3)dx, by the composite midpoint rule with…

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Q: 3. Use Newton's method to solve the nonlinear system - x³ + y = 0 -4x² - 9y+36= 0 with (xo, yo) =…

A: We are given the nonlinear system f1x,y=-x3+y=0f2x,y=-4x2-9y+36=0 Now,…

Q: (a) After representing the population in a given week as a column vector v = [n; p; h], where n, p,…

A: Let n, p and h represent the number of people in the population who are negative, positive and…

Q: When the Simpson's rule is used to 2 S²x 0 approximate the integral absolute error is 2.6667 1.6667…

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Q: Consider the following signals over the interval -1<t≤1, f₁(t)=1, f₂(t)=t, fg(t)=1/(t²-1). (a)…

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Q: (b) Given a function: (i) f(x)= x³ - 2x² - 4x + 2 Sketch the graph of f(x) in the range of x ≥ 0.…

A: Given: fx=x3-2x2-4x+2 To find: (i) Sketch the graph of f(x) in the range x≥0 (ii) We have to find…

Q: One extremely useful result of multivariable calculus, often applied to statistics as well as…

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Q: Discuss in a paragraph: Is mathematics absolutely error-free?

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Q: If k € R+, which of the following expressions or triple integrals is NOT equal to the volume of a…

A: Option b is not true

Q: G) {(5¹) ¹/(n+1)} [Select] +) { ( ₁ - ² ) } n [Select] converges to 5 converges to 1/5 diverges.…

A: G) Given an=5n1/n+1an=5nn+1an=511+1n So, limn→∞an=limn→∞511+1n=511+0=5 So, the sequences converges…

Q: Let ƒ : Rª → R, ƒ(x, y, z, w) = ½ + 2y² + 8z² +3w³ + xy + z − w. i. Calculate the Hessian Matrix for…

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Q: ***PLEASE HELP WITH THE FOLLOWING AND PLEASE PROVIDE HANDWRITTEN WORK ON PAPER*** (6) Let T R3 -->…

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Q: Determine 8 Σ(√²+ n=1 on (20-3)! n=2 (2n-2)! Σ("~√n-1)" MEI wether the series is. conv. ²√)√n²+1) 8…

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Q: ***PLEASE HELP WITH THE FOLLOWING AND PLEASE PROVIDE HANDWRITTEN WORK ON PAPER*** (5) Given u = (1,…

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Q: Brody was given a large box of 48 chocolates for his birthday. If he eats exactly 3 chocolates each…

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Q: (a) Find the critical numbers of the function f(x) = x(x - 2)5. x = (smallest value) x= (largest…

A: (a) To Find: The critical numbers of the function fx=x6x-25.   (b) What does the Second derivative…

Q: -3  8               3   4 (10) Given A = 0   1 and B = 2   1 find: a) | AB | b) | ATA | c) | 5A…

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Q: Find a möbius transformation w = f(z) that transforms the disc abs(z) 1 so that f(0) = 2 A clear…

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Q: The differential equation ax - x-2y+3 2x+3y-4 is reduced to [homogenous or separable

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Q: Question 3 3 pts Last month, Kaitlin's average daily balance on her credit card was $1,268.52. The…

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Q: A ferris wheel has a diameter of 24 metres. The bottom of the wheel is 2 metres above the ground.…

A: Given:  The diameter of the wheel is 24 meters. The wheel's bottom is 2 meter above from the ground.…

Q: 1. Consider the polar equation r = 16 7-4cos (0) a. Identify the eccentricity. b. Compute an…

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Q: ty (t+1)y + y = t²

A: Given That : ty"-(t+1)y'+y=t2 To find: solve the differential equation using determinant coefficient…