· Find (with proof) the residue of 320222022 when dividing it by 31.

Q: 4063 Find (with proof) the residue of 3200s when dividing it by 93.

A: Euler's phi function is very significant in calculating the residue. As Fermat's little theorem is…

Q: n? O Show that ¬-2n= 0(n²). Show your work and give specific

A:

Q: Consider the following number. 0.59595959.. Show that the number is rational by writing it as a…

A:

Q: The number a gives residue 15 in division with 77 and the remainder 16 in division with 78. What…

A:

Q: the 9-th terr

A:

Q: 75. For a certain bowling league, a beginning bowler computes her handicap by taking 90% of the…

A: Given: a beginner bowler computes her handicap by taking 90% of the difference between 220 and her…

Q: 3- 2 GL 1- 7654 321 42345 67 -1- -3 723

A:

Q: (2) Expand the expression given below for j = 4: 4- II (-) k=2j4 Do not simplify the expanded…

A:

Q: a onvert the repeating decimal to - form, where a, b are integers and b 0. 54

A: Topic:- number system

Q: integeral of 1/x^3+8

A:

Q: Express 3.765765765.. as a rational number, in the form P where p and q have no common factors.

A:

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

A:

Q: Evaluate : lim I7 In(r 7) In(e- e7)

A:

Q: how do i use Euler's thm to find the value? 3242 mod 385

A:

Q: 3 find the muItiplicity find the end behaviar

A: Explanation of the answer is as follows

Q: Denote by fn the nth Fibonacci number. Show that when n is a positive integer, fofi + fif2 +.+…

A: Write recursive definition: f0=0f1=1fn+2=fn+fn+1

Q: for A(x) on [0, 2] and (2, 4]. ers in exact form. Use symbolic notation and fractions where needed.)…

A: We have to find the following conditions according to the given information

Q: 2201 Sino do using Cauchey's Residue. Therom Thema. Evaluate 12

A: Cauchy residue theorem is used

Q: Find mZF. G Write your answer as an integer or as a decimal rounded to the nearesa mZF = Submit

A:

Q: Find (with proof) the residue of 32022-022 when dividing it by 31.

A:

Q: Only one prime of the form1+4n exists. Determine this prime number and prove it's the only one of…

A: A number that is greater than 1 is said to be prime if it has only two factors 1 and the number…

Q: Find the rational number representation of the repeating decimal. 0.486 (there is a line over the…

A:

Q: Find the proportion of primes p in the interval from 10^12 and 10^12 + 1000 such that p-1 is B= 105…

A:

Q: A decimal approximation for √3 is 1.7320508. Use a calculator to find 21.7, 21.73, 21.732, 21.73205,…

A: Given:Given that a decimal approximation for 3=1.7320508.To find:we have to find the following 1)…

Q: erertotheFurcions moncpl2))), noo =X-3 P(X) X12 iSthe answersyly of or-04 191 1331

A: We need to use the definition of composition of multiple functions

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: asSin3x-Sn Sx =D

A: here question is sin3x - sin5x =0 so solve for x here we use sum to product identity sin3x - sin5x =…

Q: 6h term of a G.P. is 9375 and its 4th term is 375. ind its 9th term.

A:

Q: Compute аn+1 lim n-00 An for (-3)" an = 2n+1 * Enter your answer as a decimal number, not as a…

A:

Q: Which is larger  2^100 or F100 with F representing a Fibonacci number? Prove which is larger.

A: Increment in each term in Fibonacci series = FnFn-1  Increment in each term in 2n series = 2

Q: Find the coefficient of x9 in (2-x)19.

A:

Q: (i) (ii) Show that 8; &k = &k Әхк Әхі Əхі Әхі чо

A:

Q: 6. Find the remainder when 721 divided by 43 7. For a given integer n, prove that 3 k-0

A: To find the remainder when 7221 divided by 43. Now, 7 and 43 are relatively prime and 43 is a prime…

Q: Infer a formula for Ak using factorization where A =

A: Calculate eigenvalues: 1-λ-62-6-λ=0-6+6λ-λ+λ2+12=0λ2+5λ+6=0λ=-2,-3

Q: 3. Show that 3.141592592592592... is a rational number, by expressing it as a ratio of two integers.

A:

Q: It is possible to rewrite the expression 2 In(x) – In(ax) as In(kx) where k is a constant. Perform…

A: The given expression is: 2 ln(x)-ln(ax)

Q: The n in X" indicating the number of factors of X.

A: solution:

Q: Find integers p and q so that 17p + 45q = 1. Show your working steps.

A: Here we have to find the integers p and q so that  17p+45q=1

Q: . Find (with proof) the residue of 3200 when dividing it by 93.

A:

Q: Using quadratic interpolation find In 9.2 from In 8.0-2.0794, In 9.0-2.1972 and In9.5=2.2513.

A: Given that ln8.0 = 2.0794, ln9.0 = 2.1972 and ln9.5 = 2.2513. The objective is to use the quadratic…

Q: Evaluate 1.00 172dx using Cauchoy's Residue. Thesſens

A: We use Cauchy's residue theorem to find given integral.

Q: 5 Let flx) -5X+3Xh emd gx) = 3X+2X+) in 7[x].Determine the quotient ane remainder upon dividing #00…

A:

Q: A. Express the decimal 0.121212... = 0.1212 as a fraction , where a, b are integers. %3D

A: Given 0.121212..... Need to find it in ratio form

Q: Find all integers, n, where -15 ≤≤ n ≤≤ 15 which make 15 ≡≡ n mod 4  (4 points) Show all your work:…

A:

Q: Tilm

A: To findlimx→22x2+13x-2

Q: =E512( 6, (-1)º-k(x)18–6k 18-6k k=0

A: To simplify: Rewrite given expression in simplified form:

Q: Find (with proof) the residue of 320222022 when dividing it by 31.

A: Given number is 320222022 Let the remainder(residue) be x when 320222022 divide by 31 x=32022202231…

Q: 030: Define nilpotent element. Are 1 and 3 nilpotent elements of Z11?

A:

Q: Find the inverse of y In (x4 - 6) for x > 614. (Use symbolic notation and fractions where needed.) х…

A: Given,