Il. Write the operation in the box to make the subsequent expressions right. 12 3 3 4023} 12 3 3s23} 12 3333} 2) 3D4 (108)12 61] 3 42212 61] 34412 1] 3 4 4 21] 12 12 36 12 18 3 o2] 3 2 30 6. 3) 129 SO6I(8]4)2]} 129 7S 6 4 2]} 129 SO102]} 129 512} 129 17 129 119 10

Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

A: Given ∫3z(1-4z-2z2)2dz ∫f'xfxdx=lnfx+c

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A:

Q: [1+6n A" 7 4 4n -9 -5 -9n 1-6n | If , show that for every n natural number.

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Q: 11. √40 - √90 Radical Expressions

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Q: Show that =- 5)" /31 + 6. 1 = 2 ) /7! + () /9! – ... %3D | -- IN

A: We know that, from the Taylor's formula for power series expansion of sinx is given as…

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A: given a and b are positive integers,  and to find gcd(56a, 63b) gcd of (56, 63) is 7  so gcd(56a,…

Q: + 220 + 330 + 440 + 550 + 660 (

A:

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Q: 12 = -3 (mod 5) Select one: True False

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Q: 10+(6-3) 2²*4_1

A: Given expression is 10+6-3224-1.

Q: Simplify the following expressions by hand and show your work: 23^421 mod 31 57^2024! mod 43…

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Q: Determine the number of six-character passwords that can be formed using two letters from A to F and…

A: From A to F there are 6 letters. We can pick 2 letters from 6 letters in 6C2=15 waysIn 1 to 9 there…

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Q: What is the last ans

A: 64% of all students at a college still need to take another math class. i.e., p=0.64"…

Q: Find  mod (40, 7) and div (40, 7).   mod(40, 7)=? div(40, 7)=?

A: 1) mod(40,7)  is the remainder when 40 is divided by 7we know that 7×5 =35  and 7×6=42as 7×6=42 is…

Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

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Q: One of the striking properties of Fibonacci numbers is that gcd(Fm, Fn) = Fd, (*) where d = gcd (m,…

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Q: 1-22 212-1)(2-3) 121=2 fnd theresdue

A: Residue theorem is used

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Q: Which expression represents Заb1/2 in simplest form? 9al/262 al/2 а 362 361/2 a!/2 63/2 363/2 За

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Q: 8. Show that 4 29! +5! is divisible by 31.

A: We have to prove that 4.29!+5! is divisible by 31.

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Q: Tine (5) (1) f(x) = 2x² + 15x-8 gG) = x² +10 +16 4.) Find

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A:

Q: Let the binary operation *

A: Given,          a*b=a+2b where a and b are real numbers