H = (8) in G = Z24 H = (3) in G =U(8) %3D %3D H = { (1), (12 3), (13 2) } in A4

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Q: Show that H ((1 2)) is not normal in S3. However, why is H' = ((123)) normal in S3?

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Q: B. Using the steps in solving for homogeneous differential equations, evaluate: dy x² + 2y² 7. Trans...

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Q: . Consider the function f(t) = 2t² – 3t + 7 on the interval –1 <t < 1 with periodicity P = 2 Give a ...

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Q: Use the simplex method. Minimize g = 10x + 9y + 12z subject to x + y + z 2 6 y + 2z 2 2 x 2 5. (х, у...

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Q: Consider the ordered square l² in R2. What does the ray (- 0 ,1/2) look like in the ordered square? ...

A: Consider the ordered square I02 in ℝ2. We know that the ordered square I02 is the topology on 0,1×0,...

Q: 1- Find the volume of the solid obtained by rotating the region bounded by the curve y = 4 - r and x...

A: The volume of the solid of the revolution of the curve y=f(x) obtained is  Volume=∫abA(x)dx  or Volu...

Q: Question 3 Is f(x) = x4n-2 - x4n-4 + x4n-6 + ...+ x² - 1 divisible by g(x) = x4 – 1? %3D

A: Binary operations like addition, multiplication can also be performed between two polynomials. When ...

Q: Using Fourier transform, solve the integral equation for the function f. r²e=" if r20 h(r) = f(r – y...

A: As per the question we are given an integral equation in terms of a convolution between f(x) and e-x...

Q: solve

A: please upvote

Q: Solve following recurrence relations using backward substitution. а) Т(п) %3D 2T(п/4) + 1 for n > 1,...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: 3.5.7 . (2n+1) If an thenlim a =? 2.5.8. (3n-1) ans. 2. 8. 1.

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Q: 5) Give an example of an operator whose matrix with respect to some basis contains only nonzero scal...

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Q: 3. There are six men and five women in a room. We are going to choose five people from the room. a) ...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: What is the value of the constant for the convoluted sea? Acaog Z) =(5X+7y)È+(39-5z)Š+(2x+1.z)l

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Q: Law of Cosine A jet ski leaves the pier on a bearing of 15 degrees east of north and travels for 18 ...

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Q: Solve the Initial Value Problem: (x + y) + (x + 2y) = 0, y(2) = 3.

A: Given: x+y+x+2ydydx=0y(2)=3

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Q: Closure 4 O points earned Consider the following 2 languages over alphaber {xy} L1 = {w|w _has exact...

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Q: Is the two-dimensional vector field V = -2y 2x a possible velocity field x²+y² 'x² +y² for an incomp...

A: For a two dimensional incompressible for a vector field V=ui+vj. ∂u∂x+∂v∂y=0  

Q: (2) I Let (x, y) E R X R. Consider the following functions from R? to R? r((x, y)) = (-y, x) and s(x...

A: We have to find the order of r and s. Here rx, y=-y, x and sx, y=x, -y where x, y∈ℝ. First, we have ...

Q: (1) Let o, T E S6 such that 45 6 1 2 3 T = 2 3 1 2 3 4 5 6 1 O = 6. and 4 3 5 1 2 6. 5 4 Determine t...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Consider the following linear system shown below. Note that s is a parameter and r1 and =, are the v...

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Q: Three forces of 3200 N, 1300 N, and 2100 N act on a bolt as shown in the figure below. Find the resu...

A: Given: F1=3200 NF2= 1300 NF3=2100 N Theta1= 32 Degree Theta2= 54 Degree Theta3= 35 Degree

Q: -Y) = 19 – 4x - 5y

A: In this question, the concept of the graph of the function is applied. Graph A graph is a graphical ...

Q: E. Problem Solving Using Laplace transforms, find the solution to the following system of equations ...

A: The solution is given as  

Q: 3 is the imagina u =

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Q: The value of the integral Vx dx computed using Trapezoidal rule with 2 subintervals is (Rounded upto...

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Q: リ この Shmo that e す。 are soluting of I

A: Note: Here, we will consider the differential equation y'''-6y''+11y'-6y=0....(1) instead of y'''-6y...

Q: Identify the equation of a parabola with a minimum value of 1. O f(x) = -(z - 2)² + 3 O f(z) = -2(x ...

A: The general equation of a parabola with vertex at a point (x,y) is given by the equation; (y-k)=a(x-...

Q: Give an example of an operator whose matrix with respect to some basis contains only O's on the diag...

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Q: ) Consider the following matrix 1 -2 27 A = 1 2 4 a. Find the adjugate of A. b. Compute det(A) using...

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Q: .2 9n-1 is a multiple of 2 for n 2 1

A: Introduction: Mathematical induction is a mathematical technique for proving that a statement, formu...

Q: By using the disk method, determine the integral which gives the volume of the solid obtained by rot...

A: It is required to give the formula for the volume of the solid obtained by revolving the given regio...

Q: 2. Enrique has a square shaped picture frame. The perimeter of the frame is 20 inches and the area i...

A: Let us consider the square of side s then Perimeter of the square =4 x sArea of square = s2 Side of ...

Q: Problem 8. Create your own functions whose domain is not a set a of numbers and the range would be t...

A: Given that Domain is not a set of numbers and range = 1, 2, 3, 4, 5

Q: (e) f(x1,x2) = xỉ/x2 on R x R++.

A: The solution of (e) is in below

Q: QUESTION 8 Three pipes of radii 2.50 cm, 3.25 cm and 4.25 cm are welded together. Find the angles be...

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Q: 6 - Determine the value of the series n2+7n+12 * n-1 a)1 b) c)! d)? e)0

A: We have ,  ∑ n = 1∞ 1n2 + 7n + 12 Here , an = 1n2 + 7n + 12 We can factor denominator, an = 1n2 + 3n...

Q: On a unit circle, the terminal point of theta is (√3/2,1/2). What is theta?

A: Given: The terminal point P32,12. Note that the terminal point satisfies the condition x2+y2=1.  

Q: Find the integers x and y such that gcd(116023, 11353) = 116023x + 11353y.

A: The Euclidean algorithm is a way to find the greatest common divisor of two given integers. For any ...

Q: 4.3.3 (n³ + 1) < E=1x3,n 2 2 [Hint: E-1x3 = (1)3 + (2)3 = 9] %3D %3D

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Q: [(1 + x) y? - e*] dx +2xy dy = 0

A: A first order Bernoulli ordinary differential equation is of the form dydx+pxy=qxyn Where p(x) and q...

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cosx- 1) dx = 0

A: Introduction: If a differential equation has form y'+p(x)y=q(x), then the solution to the differenti...

Q: 7) Suppose T E L(V) is diagonalizable. Prove that V = null T' range T.

A: We use basis for V and T is diagonalizable.