70. If H is a normal subgroup of G and |H| = 2, prove that H is con- tained in the center of G.

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A: Note: According to the guidelines only one question at time can be answered. Please repost for the…

Q: ove the identity. Show all steps: 1-coscos x + 1 1+coscos x = 2

A: We have to prove that the given inequality.

Q: xx+10 ä- x=x+10 " P xx+10> P xx+10 " and ₂x+10 Pxx Pxx+10 xx+10' xx+10

A: Given different actuarial notations to find the corresponding formulas.

Q: Simplify O O O √2 2 1 √√3 √3 T 8 2 tan 1-tan² H8 T

A: To simplify the following expression.

Q: 2 2 and x+1 1 Write the quotient of 1 and then simplify x+1 X-1

A: find the quotient of 1-2x+1  and 2x+1-1x-1 1-2x+12x+1-1x-1 =x+1-2x+12x-1-x+1x+1x-1…

Q: If a, b e R, prove the following. (a) If a +b = 0, then b= -a, (b) —(-а) — а,

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Q: Find the singular values 01 202 of 7 A = || 0 -3 |

A: For matrix A, find ATA Next find eigenvalues of matrix ATA  det(ATA)-λ=0 Square root of non-zero…

Q: 1. Evaluate: a. -1 b. -2 2. Evaluate: a. 1 b. 0 sin³ x lim x-0 sin x-tan x x3-x²-5x-3…

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Q: A:Convert the following algebraic expressions into expressions in Q- Basic: A 1. AVB+2 + BA+C…

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Q: Show that the equality [r + y] = [2] + [y] is not valid for all real numbers r and y.

A: Consider the provided question, We first define ceiling function. The ceiling function maps x to the…

Q: The only solution to arcsin is - π 4 True O False (- √√2 2

A:

Q: Please solve, first image is part a and second image is part b

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Q: Rocky Mountain Chocolate Factory (RMCF) founder and president Frank Crail employs 220 people in 361…

A: for net price  equivalent rate determine first find the complement of the chain discount rate…

Q: x2 +6x+9 and 3x 9-x2 03. What is the quotient of- ? 3x (x-3) В. (x+3) x-3 А. 3-х (x+3) 3-х D. x+3 E.…

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