Covert the decimal based numbers 64,99 to bytes and multiply these two bytes in GF(2^8) with respect to the irreducible polynimals x^8+x^4+x^3+x+1 by hand

Q: Contruct te compesite toafezoidal ond Comporte fipsors s Raber For a and aftply these on n= 4 by…

A: In trapezoidal method the value of integral is given by:…

Q: Find the prime factorization of 793169. To show your work you must use Theorem 2

A: Consider the equation

Q: 2. Write (n – 2)! using product (II) notation.

A: Given : (n - 2)!

Q: Use the left to right addition method as outlined in the module to add the numbers. For the middle…

A: Explanation of the answer is as follows

Q: ity by 11 by alternately adding and subtracti left, beginning with the units digit-that is, units…

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Q: A pentagonal pyramidal number Pn can be determined using the dot representations of pentagonal…

A: Given: Let us consider the nth pentagonal number is given as follows, n2n+12

Q: Use three terms of the expansion for √1 + x to calculate the value of √1.1018.

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Q: Inscribe a regular n-sided polygon inside a circle of radius 1 andcompute the area of the polygon…

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Q: Evaluate the integral. 8 7 xp- Xp 7

A: The given integral is ∫787x2dx. Evaluate as follows.

Q: Inscribe a regular n-sided polygon inside a circle of radius 1 andcompute the area of the polygon…

A: Given: A 16-sided polygon is inscribed inside a circle of radius 1 unit, To find: The area of…

Q: Which term of the expansion of (x° + 7) contains x 28 ,36 Term number contains æ36

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Q: 5 find the quotient i15-as a" by long division meth od 1-a

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Q: (x – 2)? – In x = 0, [1,2] %3D

A: Ques: use bisection method, to find the solution to the following within 10^−6 for f(x) = (x-2)² -…

Q: Show that %3D Use the legender Poly nomials nこo

A: Given: ∑n=0∞Pn(x)tn = (1 - 2xt +t2)-12 ----------------------- (1) We have to show that (n+1)Pn =…

Q: Determine the nth term formula for the number of square tiles in the nth figure. an %3D as a2 az

A: Number of tiles in a1 is 2, n=1 Number of tiles in a2 is 4, n=2 Number of tiles in a3 is 6, n=3…

Q: Use the first 3 terms in the expansion of (2+5x)6 to approximate the value of (2.05)6

A: We know that a+bn = C0nan-0b0 + C1nan-1b1 + … + Cnnan-nbn

Q: 2. Janyce conjectured that in the visual pattern below, there would be 3n - 1 small squares in the…

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Q: Preform indicated operation on the given bases. 32four x 23 four g.

A: Performing basic operations in different base is different. Consider the base 4. It has 4 digits 0,…

Q: what are the first three terms in the binamial, expansion of (2a-0,5b) 1.

A: Given

Q: 1. What is the remainder when 65544 - 13 is divided by 8?

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Q: use the Euclid's division lemma to show that the cube if any positive integer is either of the from…

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Q: 1. Simplify the expresslon below. @3x ®. x12 ©3x12. . . n... O x64

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Prove by induction that the expression for the number of diagonals in a polygon of n sides is…

A: Solution: Let Dn=nn-32 We will prove by induction that for all n∈ℕ, the total number of diagonals in…

Q: What mistakes are found in this proof.

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Q: mple of 1000 com xin ditions necessary ximation to the b

A: According to the sum, We have to use the normal approximation to the binomial to approximate this…

Q: Show that the Poly nomial ac -(6² +1) is K[a,b, cI irreducible in Here KiS Pield.

A: Given polynomial:  ac - (b2 + 1) We have to prove that it is irreducible in K[a,b,c], where K is a…

Q: 29 Using the combination formula expand (5+x)

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Q: Find the 2nd term in the expansion of (a + b)º in simplest form.

A: Solved below

Q: Find the largest valuc of integer value ofk such that 1 (24 - 1) < 900. 5+7++

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Q: What is the Coefficient o x' y b. 24 in (3x +y)? Plow monomials appear in +he meny expansion of (3x+…

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Q: 3. Use Euler's Theorem (and the Chinese Remainder Theorem) to how that n12 = 1 (mod 72) for all (n,…

A: The Euler's Theorem states that for a positive integer n and an integer a that is relatively prime…

Q: Find the minimal integer number that: Gives remainder 1 on division by 3 Gives remainder 2 on…

A: We have to use Chinese remainder theorem in this question.

Q: What is the limo+x².In(x) For answers that are fractions infinity negative infinity write... in…

A: L' Hospital Rule  :   If limx→a f(x)g(x) = 00 and ±∞±∞ form , then               limx→a f(x)g(x) =…

Q: Having a following funclion af funcdion of au polf. IS +. 64 64 fly) = -ky 8. elsewhere o What is…

A: The probability density function gives the probability at each possible value of a continuous random…

Q: For the rimbIS 588 and 2520 -FaCtor each nmbor into a pnduct 1Of Primes in carionicat tom.

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Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: How many zero divisors are in Z,, where n = 32547?

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Q: is (1,87, 3) and (1,87, –3), where z is defined implicity by the equ plic notation and fractions…

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Q: (Use symbolic notation and fractions where needed.) side of base: 6 height: 6 minimal surface area:…

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Q: 7, Evaluate the integral Express numbers in exact form.use symbolic notation and fractions where…

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Q: What is the perimeter of region R? Enter the exact answer as an expression involving radicals and T.

A: To determine the perimeter of the given region R.

Q: 22. Without expanding the power, what is the yf term in the expanded form of (x- 2y)? Show your…

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Q: Find mZD. 6. D Write your answer as an integer or as a decima mZD = %3D

A: We have a right-angled triangle right angled at F we have to find angle D

Q: lim, o0 (3 In (4 + z) – In (2x³ – 5)]

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Q: As a group, discuss why there are no terms of the form x*, xy, or xy in the expansion of (x+ y)'.…

A: (1) In the expansion of (x+y)3, each term has the power 3 ,that' why x4,x2y2,xy  do not exist

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 8 in.…

A: Let x be the length of a side of the cardboard. Since we are making a square box, the dimensions of…

Q: A person is holding two drillbits one is7/16 and the other is 25/64, and wants to first drill a hole…

A: We have to make 7/16 to 64ths    To get 64 from 16 we will multiply 16 by 4.