a) Prove that every integer can be written a sum of powers of 2. b) Write 14, 17, 27 as a sum of powers of 2

Q: Chapter 6, exercise 4.1: Write the product x²yx-¹y-¹x³y³ in the form x¹y¹ in the dihedral group Dn.

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A: We know that A randomly selected card from a well shuffled standard deck  of 52 cards, we know that…

Q: 2. Use Laplace transform to solve the initial value problem y" + 2y' + 5y = 0, y(0) = 0, y′(0) = 1.

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Q: Chapter 6, exercise 4.3: (a) Compute the left cosets of the subgroup H = {1,x5} in the dihedral…

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A: here we have to use Stokes theorem to find line integral  ∫CF→.dr→=∫∫SCurlF→.dS→ Also…

Q: 6 Q3. Evaluate Σή=1 5n2 - 7n.

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Q: The following represent a set of points

A: Introduction: The newton's forward difference formula is given by, f(x)=y0+pΔy0+ p(p-1)2!Δ2y0+…

Q: x + 2 x+5-x + 5 (a) lim Calculate the following limits, or explain why they diverge. 1-n-n² n→∞ 1-2n…

A: Given :  (a) limx→5-x+2x+5 (b) limn→∞1-n-n21-2n-4n2 We have to find the limit if exist.

Q: 24. S 5²-4s +5

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Q: QUESTION 8 Use residues to show that P.V. S zsin z ²+2x+2° -dz= (sin 1- 1+cos 1).

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Q: Minimize z = 3x + 4y 4y+ 6x > Subject to 2y + 2x 3y + x > ● ● x IV IV Y 0 Solve this using the…

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Q: A. Use the properties of logarithm to simplify the following expressions. 1. log 2 + log 50 2.…

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Q: 1 5/6 + 1/2

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Q: Use the definition ƒ'(zo) = lim Z→>>> ²0 1 derivative of f(z) == for z = 0. Z f(z)-f(zo) Z-ZO of the…

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Q: QUESTION 8 Consider the following 3 permutations in S10: 0 = 1 2 3 4 5 6 7 8 9 10 1 4 5 6 8 10 7 9 2…

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Q: Let n be an integer > 1 and N = n! + 1 a) Prove that N has a prime divisor > n b) Use a) to prove…

A: Here if all divisors are greater than n then their product divides 1 that is not possible.

Q: Let ux,t=XxYy Given…

A: Note: As per your requirement I answered here on papar.   The required answer is in below step.

Q: 6. A lattice (A, S) is said to be a modular lattice, if for every a, b, and c in A, where a ≤ c av…

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Q: 1: Let f be the function graph below. Sketch the graph of each transformation described. Label where…

A: Given: Graph of a function f, To find: Graph of each transformation of f given below. (d) f2x+1 (e)…

Q: 10. Say Z₁=2+15i and z2 = 3-6i, find Z1*Z2*

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Q: Find the x-value where the maximum value of y Round your answer to 10 decimal places. 22 In+1 = In…

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Q: The figure shows the region of integration for the integral. 6-y 10⁰1-10-₁ f(x, y, z) dz dy dx…

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Q: Jessica deposits $500 at the end of every month for 1 years and 7 months in a retirement fund at…

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Q: Prove that A°= A - Ab.

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Q: Paul and Donna Kelsch are planning a Mediterranean cruise in 3 years and will need $8,500 for the…

A: Let p is the investment at the end of each 3 month Given time 3 years . Therefore 36 month Therefore…

Q: (a) On a sheet of paper, or using a calculator or other technology, graph the three indifference…

A: Please find the attached answer.

Q: Use Newton's method to approximate a zero of the equation 3x + 2x + 2 = 0 as follows. Let #₁ = 2 be…

A: Given : fx=3x7+2x4+2 , x1=2 To find :  a x2b x3

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Q: Q18A. Define the sets A and B as shown. Select all statements which are true. A W C {a, g, s, m} = A…

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Q: Q1. Evaluate the series S = -|2 + N|T + -12 + 1 + 211 :

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Q: -3 -2 -1 0 1 2 3 4 -45 -16 -3 10 -1 0 9 32 The following represent a set of points that lie on the…

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Q: 2) Prove that if lim m({fn - f>0}) 84x measure. = 0, then (fn)n converges to fin

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Q: The Acme Company has developed a new battery. The engineer in charge claims that the new battery…

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Q: Could u please explain the part b?

A: Answer-  True  explanation- look  carefully that we need these definitions- 1) Characteristic…

Q: The answer is not shown for the 2

A: Left end sum=sum of areas of the rectangles      =7X10+9.8X10+13.2X10+18.1X10+20.5X10      =68.6X10…

Q: models the bacteria count, in = 158 +9 thousands, for a sample of tap water that is left to sit over…

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Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: Given initial value problem is              y'=x2y-12y2     with    y0=3        Let…

Q: Determine if each of the following is true or false. (a) G= 12x27-8y] is a gradient field. False…

A: Given the field, G→=12x2i→-8yj→ To check whether it is conservative, it needs to checked that for a…

Q: (9.1) Show that 3 ∈ Z15 is a zero divisor. (9.2) Prove that in any ring R, if a ∈ R is a zero…

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Q: Write the simplified output of the transfer function of the following block diagram. R(s) G₁ Note:…

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Q: Consider the following linear programming problem. Maximize P = 5x + 8y subject to the constraints x…

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Q: Use finite difference to determine the equation for the polynomial corresponding to the table of…

A: using finite difference method:-

Q: Suppose that L and K are subfields of GF(pn). If L has ps elementsand K has pt elements, how many…

A: It is given that, L and K be the subfields of GFpn. If L has ps elements and K has pt elements.…

Q: 81 = 7 82 = 3 For k starting at 0 and ending with 8: Sk = (k-1) gk-1 + gk-2 What is the last term,…

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