Let G be a group of order 168 = 23 × 3 × 7. Assume that an element oforder 7 is in the normalizer of a Sylow 2-subgroup of G. Prove that G isnot simple.

Q: Find the value of a for which U = a 1 10 is in the set 0 -1 3 0 H = span 5 3 -1 2 -2 -2 a =

A: The value of a=-7 .Explanation:Step 1: Step 2: Step 3: Step 4:

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A: Let's solve each part of this problem step by step using the provided information:Explanation:1.…

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Q: (a) Yes. (b) No. LE ex²+y² sin ydydx = 0?

A: We have to verify  or not.

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A: The known sides of the triangle are :

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A: The sequence are :

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A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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Q: Which of the following functions are Q(x²)? Multiple Choice О О to 22 [x] [x] 2x3+1

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Q: answer these

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Q: Nitin

A: Basis are (1,0,1) and (0,1,2)Explanation:

Q: Can you please help me with this question?

A: Stepwise explanation is given below Explanation:x ~ x -----> x - x = 0 which belongs to Z the set…

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A: The objective of this question is to find the transformation matrix A for a reflection in the x-axis…

Q: Q3\ Solve the following differential equation dx A) dy 4x + 6y+5 3y+ 2x + 4 B) (1+x²)dy +…

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A: Find the interval of convergence of the power series, where  is a positive integer

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Q: Find the minimum of the function f(x) = x³ – 5x³ – 13x + 4 using quadratic interpolation. Use x0 =…

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A: We have to evaluate  where  using polar integration.

Q: Let R: RR that sends each point to its reflection in the x-axis. Find the transformation matrix A.…

A: The objective of the question is to find the transformation matrix A for a reflection in the x-axis…

Q: Solve the initial value problem y" 4xy16y= 0, y(0) = 8, y(0) = 0.

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A: The solution to the problem is in the segment below.Explanation:To show that f(z) and g(z) are…

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Q: Problem 4 Find the matrix MDB of T: P2 → R² with T(a + bx + cx²) = (a+c, 2b) corresponding to the…

A: answers are explained in detail in explanation section  Explanation:

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A: (a)Total strings that contain at least one pair of adjacent characters that are the same = Total…

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Q: .19. Evaluate the series: S(x) = Σakxk, k=0 where (a) ak = 1,

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Q: (5) Let a,b,c Є R² be three fixed vectors, where a and b are linearly independent and c ‡ 0. Let d…

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Q: Find wa+bi = √ where a and b are real numbers. - -60i - 11

A: We have to find

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Q: how can i apprach this problem

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