Find all the sylow 2 subgroup of D5 and show explicitly that they are conjugate

Q: Suppose A, B and C are finite sets of integers. Decide whether each of the following is a set, a…

A: Given that, A,B and C are finite sets of integers. We have to classify whether each of the following…

Q: Consider the matrix A = /a11 0 0 a21 a22 0 a31 a32 a334 What is tr(AA')? ] Show that |A| = [1 aii.…

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Q: Write a triple integral in spherical coordinates that has ONLY CONSTANTS in the bounds and…

A: As we need to use spherical co ordinate system  So relation between cartesian and spherical system…

Q: Show ▼(E) - G&F - FVG G² G=0

A: Given : G≠0 To Show  : ∇FG =G∇F-F∇GG2

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s)} = f(t)g(t). O True…

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Q: Assume a function such that Y = (2x410)/(6x² + 5x). Obtain the first derivative. O f'(X) = (8x³ -…

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Q: Find a basis for the a.) column space and b.)null space for the matrix A below. Then provide the…

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Q: V Consider the quadratic form Q(x₁, x2, x3) = 2x² + 2x² + 2x² + 2x1x2 + 2x1x3 + 2x₂x3 a) Determine…

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Q: Suppose that demographic studies show that each year about 8% of a city's population moves to the…

A: Let the percentage of people who lived in the city be x% and the per of people who lived in the…

Q: I. dy tan(x) dx Cos (x) + x²

A: Given equation is dydx=tanxcosx+x2   What is the best way to solve the First Order Differential…

Q: 1. y" + y = 0, y' (0) = 0, y' (n) = 0

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Q: L{f(t)} f(t) 4 1. (s > 0)

A: Given the graph of a function f(t).

Q: given f(t) = 8 +42 = 6 t>2 evaluate : F (₂)

A: Please find the answer in next step

Q: Find an angle between 0° and 360° that is coterminal with the given angle. 398° is coterminal to…

A: Coterminal are the angles that start and end at the same point. So, to find a coterminal angle add…

Q: Answer true or false. F(s) = s²/(s² + 4) is not the Laplace transform of a function that is…

A: We have, F(s) =s2s2+4 =s2+4-4s2+4 =1-4s2+4

Q: 0)2= (?????) 16 (??? ???)2=(?????) 16 (?? ??) 10 (?????)₂ = (???

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Q: For a cylindrical can (depicted in the figure, height h and radius r) with volume 2π m³, compute the…

A: Surface area = 2πrh+2πr2 Volume =πr2h = 2π

Q: Let C be the curve represented by R(t) = (cos 2t, 2√3t, 5 — sin 2t). Find the coordinates of point Q…

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Q: A continuous random variable has the probability density function of f(x)=0.0118x and the interval…

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Q: Determine the infimum and supremum of the set S given by the grand union below. Write your answer as…

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Q: 2. y' = x²/y(1 + x³)

A: To Solve: The given differential equation y'=x2/y1+x3

Q: se Green's Theorem to evaluate the integral. Assume that the curve C is oriente 3xy dx + 4xy dy,…

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Q: Evaluate the integral (6x +12y)dx + (6æ — y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

A: Let us evaluate the given integral in the next steps.

Q: Calculate the Fourier series of the periodic function depicted in the figure below.

A: This is a question from Fourier Series.

Q: show that: V f(r) = f'(r)r r where: r = xi+yj+zk

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Q: At which minimum and Type answer value does the function g(x) = 3x² - 4x² attain a - is the minimum…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: We have to find the inverse Laplace Transform. L-11s2+1s2+16

Q: 5. Let S be the negatively oriented surface defined by R(u, v) = (u², v², uv), where (u, v) € [0, 1]…

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Q: Find the largest interval where the following IVP is guaranteed to have a unique solution: (t²-4) y"…

A: To Find: The largest interval where the following IVP is guaranteed to have a unique solution:…

Q: Suppose you decide to give up your weekly trip to Amy’s ice cream and instead deposit the $12 you…

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Q: x²y" - xy + xy = 0, y(1) = 0, y (L) = 0, L > 1

A: As per the question we are given a second order linear differential equation as : x2y'' - xy' + λy…

Q: Let C be the curve represented by R(t) = (cos 2t, 2√3t, 5 — sin 2t). Determine the curvature of C at…

A: Let us consider the curve r(t)→ The curvature is obtained as κ=r'(t)→xr''(t)→|r'(t)|

Q: (b) (2 + 3i)¹+i

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Q: Which of the following is true? 12-211mod6 a. b. 23-11mod7 c. 34-5mod3 d. 33 - 31mod32 O a Ob O C

A: A congruence expression a≅b(modc) means (a-b) is divisible by c.

Q: If x is a lower bound for S in R, then x must be unique. a. True b. c. Never True Sometimes True

A: We want to find the given statement is true of false.

Q: What is lim x-inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^{3n}] + 2? (express answer as x,y)

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Q: Answer true or false. If f is not piecewise continuous on [0, ∞o>), then L{f(t)} will not exist.…

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Q: Consider the following equality constrained optimization problem (notice f(x, y, z) is identical to…

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Q: Compare the monthly payment and total payment for the following pair of $180,000 loan options.…

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Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 2, t > 0

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Q: 3. The equation e* - 4x² = 0 has a root in the interval [4, 5], To find this root by fixed point…

A: Given : ex - 4x2=0    , 4 , 5  To Find : Roots of given equation by fixed point iteration.

Q: Given: f(t)= -3 Evaluate F(2). Use 2 decimal places.

A: It is provided that f(t)=-3t. We need to calculate F(2).

Q: 11. x²y" - 2xy + 2y = 0, y (1) = −1, y (2) = 1

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Q: Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1…

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Q: Find the G.S. about xo = 0 for: (x² + 4)y" + xy = x + 2

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Q: 1. Consider the curve C = C₁ UC₂, where C₁ is the line segment from (0, 1.1) to (1,1,0) and C₂ is…

A: Given Data: The given curve is C=C1∪C2, where C1 is the line segment from 0,1,1 to 1,1,0 and C2 is…

Q: Choose the letter of the correct answer. Which of the following letters are true (you can choose…

A: (a) and (e) are not true

Q: (b) Solve the following IE u(x) = f* (z + 1²) dz by "Adomian Decomposition" method.

A: Solution:

Q: 2).  For an as follows, write the sum        an as a geometric series. a1 =  1 14 and  an an + 1

A: This is a question of infinite series.

Q: Write the equation of the Conic, given its graph.

A: