Q: Let G be a group with |G| = 595 = 5 . 7 .17. Show that the Sylow5-subgroup of G is normal in G and…

A: Given: G is a group with G=595=5·717 . To Show that: The Sylow 5-subgroup of G is normal in G and is…

Q: Between which two steps is the addition property of inequality used? Given: Step 1: Step 2: Step 3:…

A: Thr addition property of inequality-    For all number  a,b,c    If  a>b then a+c >b+c

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Q: (3+i)/(2+i)

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A: We know that: 1 cent=1100 dollarddxxn=nxn-1

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Q: 6. Express the negation of each of the following open sentences using quantifier notation, but…

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Q: Use prime factorizations to determine whether 7800 = 23 x 3 x 5² x 13 is divisible by 195 = 3×5×13.…

A: Definition of divisibility is given below

Q: Convert the following number from binary to hexadecimal notation. 1011011100112

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Q: and

A: A local  fedEx office store has a press that can print 5800 brochures per hour.

Q: t dw 4. (i) For t> 0, find the general solutions of +w-t, where p≥ 1 is a constant. 2 dt (ii) For x,…

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Q: how

A: Que seems some data missing. Though I have simplified the given expression as much as possible.…

Q: 2 3 8 -5 [], 2 -5 8 -9 mine if w is in the subspace of R3 generated by v₁ and v₂. Let V₁ and w…

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Q: If a matrix A= vector space W. (a) (b) (c) (d) (e) (1 2 3 00 3 -7 9 -2 -3 3 3 4 9 137 10 1 1 9 and…

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Q: Top and bottom margins of the poster are 6cm each. The side margins are 3cm each. If the area of the…

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Q: 200a -24b -44c -39d 8e 14f -16g 4h 44i 3j 40a 250b -50c 2d 14e -22f 23g 18h -23i 45j 5a -40b 180c…

A: In the question we are given a system of 10 linear equations in variables : a, b, c, d, e, f, g, h,…

Q: 3. Write the following statement in symbolic language as a direct implication and de- termine its…

A: a.if ∃y∈Z→∀x∈Z,x=4y+2∈2Z b.if ∃y∈Z∨x∈Z→XY∈Z

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Q: What is the value of x that will give g(x) = 3-13x² - 6x³ a relative min value?

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Q: Exercise 3. We derived Equation (10) which expresses the two 2-point DFT's DFT (ao, a2) and DFT (α₁,…

A: Given: Expressions of two 2-point Discrete Fourier transform in terms of the 4-point Discrete…

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Q: 3. y²dx + (3xy + y² − 1)dy = 0

A: Given : y2dx+3xy+y2-1dy=0 To Find : General solution of given differential equation . Note :…

Q: 1. Find the equation for the tangent plane to the graph of ƒ(x, y) = x² + y² +sinxy at P(0,2,4).

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Q: (a)If n2 is an even positive integer then n is an even positive integer. Use a proof by…

A: If n2 is an even positive integer then n is an even positive integer. If n2 is a multiple of three…

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Q: 10. A sample of tritium-3 decayed to 94.5% of its original amount after a year. (a) What is the…

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Q: 2. Let 21 and 22 be complex numbers. Show that |1 — 7₁z2|² − |21 — 22|² = (1 − |z1|²)(1 − |22|²) -…

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Q: 15 14- 13- 12 11 -10- 9- 8 7- 6- 5 4 3 2 Locate all the corner points. 5 16 H -90- 8 9 10 11 12 13…

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Q: Show that 38 = -1 (mod 17). Using this, deduce that 3 is a primitive root of 17.

A: We need to show that 38≡-1mod 17. Since 34=81≡-4mod 17 ⇒38=342≡-42mod 17

Q: Which of the following can be used to conclude that W = {(x, y, z) = R³ |x-2y+z² = 0} does not form…

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Q: f(x) = 13-8x - 5x² What value of x will maximize it?

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Q: Given f(x) = x² - x - 6 for values of x = [0, 6], a. Write an equation of the line tangent to fat x…

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Q: Let f(x): = e+ln x x² a. Find the average rate of change of f(x) from x = 1 to x = e. b. Write an…

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Q: dy (a) Find the explicit solution to the initial value problem (x + 1) +y=6re with de y(1) = 10.…

A: x+1dydx+y=6xe-x⇒dydx+yx+1=6xe-xx+1 The integrating factor is  I.F=e∫1x+1dx     =elogx+1=x+1…

Q: For any a ony 1 RIGHT (₂ m)-f(x)d₂] ≤ / (bud) ² max [1/(20) d > ohy f: [dsb] → IR and ony n ≥ 1…

A: (a) Given fx=a3x3+a2x2+a1x+a0 Given SIMPf,n-∫abfxdx≤b-a5180n4maxx∈a,bfivx…

Q: What is the mixed fraction of 3 1/4

A: Mixed Fraction A mixed fraction is a particular kind of fraction that consists of both a whole…

Q: A clock is hanging on a wall, with the centre of the clock 2.5 m above the floor. Both the minute…

A: here we need to  use cosine function to represent distance of tip of each hand above the floor , Let…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Through the point P(-2,-7) tangents are drawn to the…

A: The equation of the ellipse is given by     2x2 + y2 + 2x - 3y - 2 = 0 . . . . . . . (1)  Let, the…

Q: 6 + 5 4 3 f(x) 2 1 2 -1 f(2) + g(3) f(2) g(1) - ma -3 4 LO 5 X 6 VENDED 8 g(x) 0 1 2 g(1) - f(0)…

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Q: An ideal A of a commutative ring R with unity is said to be finitely generated if there exist…

A: In this question, we have to show that an integral domain R satisfies ascending chain condition if…

Q: 2. (LI-1) Compute the Wronskian for each set of functions below and determine whethe the set is…

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Q: For each of the following equations, find the most general function N(x,y) so that the equation is…

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Q: Approximate L e cos x dx using Gaussian quadrature with n = 3?

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Q: If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the…

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Q: Solve for the relative max value of g(x) = 45 17x²-3x³ -

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Q: A system of equations was written as an augmented matrix, which was row reduced to 100-4 010 3 0 0 1…

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