1. Show that 2465 is a Carmichael number.

Q: . Show that 1729 is a Carmichael number.

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Q: 3 tane=1,4/637 findo to nearestolegr

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

Q: (Rって。) disconn. Conn. or

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Q: Prove that the hundreds digit of n20 is even.

A: To Prove that the hundreds digit of n20 is even.

Q: D prove tHhat kin

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

Q: 2. Evaluate the lIntegral viing any a ppopriate algebre ic metad ir igohometry identity

A: To Evaluate: ∫2t2+t2+1t2+1dt Concept: i. ∫afxdx=a∫fxdxii. ∫f+gdx=∫fdx+∫gdxiii. ∫11+x2dx=tan-1xiv.…

Q: If ∠A≡∠C in ABCD, then ABCD is cyclic.

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Q: !. 2. Find 100 irrational nember s between o andd 3. Find 50 rational numbers betwee and 2. 4. Fmd…

A: We know  2<e<3 So,   0<e1000<1100      as  e<3<10 So, 0<e103<1100 Define ,…

Q: em 10: Prove

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Q: Question 3: Prove or disprove: Given integers a, b and c, if a|b and a|c, then a|(b-c).

A: Solution:Given       a | b  and a | cTo prove a| (b-c)

Q: find Xcn! ® methed hen) bg using agraphicat メcnl- hands

A: We have to first plot the required discrete function.

Q: If a and b are both type 2 integers, then a + b is a type 1 integer.

A: To show that

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Q: 14. use convolution to find te nvera 1apia le trans form of

A: 14.  Given: Fs=1s2+12 Let F1s=1s2+1, F2s=1s2+1 Then, Fs=F1s×F2s Using convolution theorem…

Q: 12. Find the m DE. 3d 1240

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Q: 15. If APMC = ALDX, then ZM =

A: We will complete the statement as following.

Q: Integrate  sinnuelog(cosu) . Where n=744

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Q: are integers and piae priinn number aud if pajusas oton noddng Suppose asg, then Show that pla, for…

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Q: Statement 1: 2465 is not a carmichael number Statement 2: 95 = 53 (mod 2)

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Q: Use the cancellation identity to compute (40 k 5k k 15 k

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Q: Prove that the Ving of ComPelX numbers C¢,+.)is fielol

A: Solution is given as below:

Q: Show that [my] is o(ny)

A: In the question, it has to be xy instead of xy. So, we are solving the question by taking xy. To…

Q: Evaluate, sin(4 – 3i) O 10.04240.68° 10.04Z – 139.32° O 9.71Z – 137.52° 10.04Z139.32°

A: We evaluate sin(4-3i)

Q: 23. Find de V100- tan O coton 2 Opbon 1

A: We have the given integral as ∫dx100-9x2 On solving the given integral furthermore, we get the…

Q: 1. Show that 2465 is a Carmichael number.

A:

Q: Show that for any nez, n is erther odd or even

A: Suppose P(n) is a given statement, then P(n) is true for all positive integer if: P(1) is true. If…

Q: #6. Eunlwate taldx uhere cosk fa) cosx-SinZx, x)n .

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Q: Which of the following numbers could be the exact number ofelements of order 21 in a group: 21600,…

A: According to theorem, the number of elements of order n in a group is multiple of ϕ(n)

Q: a. Inside one leaf of the three-leaved rose *= cos30

A: According to guidelines we solve one question. Here  we solved (a). We have to find area bounded by…

Q: Use symmetry to evaluate the followingintegrals.

A: The integral is ∫-π/4π/4tanθ dθ.   Check if the function is odd or even. Substitute -θ for θ in the…

Q: Find oll integers Such thot 24! x =1 Cmod 2) 5x = 3. (mod 8) and 1500 < X <2000

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Q: Statement 1 : 2465 is not a carmichael number Statement 2 : 95 55 (mod 2)

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Q: Find tha ara al the xhnded ragjon werdonnd

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Q: Зл. What is tanº 4

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Q: 9. Show that 1729 is a Carmichael number.

A: To show that 1729 is a carmichael number

Q: Consider the subring S = 2216 of Z16. Then char (S) = 4 6. 8. оОО О

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Q: as 3D 15552 аnd as = 3359232 о 2,8, 32, 128, 512 о-2, -8, -32, -128, -512 о 2, -8, 32, -128, 512 о…

A: Given  a6=15552 and a9=3359232

Q: Find the Maclaurin serie: e2x

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Q: 13 is discret coply on asetR Shotr the t Ris dines th Ror not

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Q: Prove that 10585 and 294409 are Carmichael numbers.

A: We have to prove that 10585 and 294409 are Carmichael numbers.

Q: Show that 1729 is a Carmichael number.

A:

Q: 1. Show that 1105 is a Carmichael number.

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Q: 33, A Sphene has the iengen of t

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Q: 4. Find x in ASTU. * 17 15 O 2 O 8 O v32 O V514

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Q: 45.r > (рли) ~pv~ w rvs S

A: We have to construct a formal proof of the given arguments.

Q: 1. The value of (1.000) 27 is O 327 O 0.327 O 1.000 O Non of them

A: Any finite power of 1 gives you 1.

Q: Show that 2821 is a Carmichael number.

A:

Q: 2m de | = 4+2cose

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