**2.) In the diagram below, ray NK bisects JNL MJNK-(22-2 and MELNK-(3x)". Determine the value of ZLNK K N.

Q: 5. Determine whether or not the expression is satisfiable. (x₁ V2 V3)^(x₁Vx2 VT3)^(T₁ VT2 VX3)

A: If the Boolean variables can be assigned values such that the formula turns out to be TRUE, then we…

Q: 1 26. zp- (z+1)° (2z² +4z–34)

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Q: A={3,8,11,14,21} |A×{5}|(please think carefully before doing this)

A: Given....

Q: Hiw.S Let Asitij-zk, B=-i-kandc=zituj-zk finds A-(2B-c) 4-2AX3B saCAXB).c 6- Ax(Bxc)

A: Given that: A=i+j-2kB=-i-kC=2i+4j-2k NOTE: As per our answering guidelines, we can only answer 1…

Q: 8. (S.15). Write P20 r2+2r-1 as a linear combination of the polynomials P21 r-r- 2, P22 2r2-r+3, P23…

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Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

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Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

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Q: Evaluate: de (1-a)

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Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

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Q: Find the meteix A of the Lineak teansfoRmati on foom IRto IR . 2. given by x2

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Q: Find the He Intertl Of Colvergelke HON e raus and Couverge (3x-1)" 12+h

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Q: 3 | (16t3 – 12t? + 6)dt

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Q: 5V2 + 6/64

A: We need to find the solution of 525+6645

Q: lim (Vx2 +2x-x) ズ→

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Q: Chow that ॥२ + १n + 3 (nt) (2nt3)(2nt5) (nt 4) 36

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Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

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Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

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Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: Evaluate / (4z 52)dz. Do nor include 1Cin your answer.

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Q: iunmplicit depilatives TocA- 2 J t Ina (3x3 -x)(3a - 2)

A: We have to find

Q: x2 - 2x+5

A: here we will evaluate given intigral,

Q: 2zdz 21.17. So z²–4)² 2

A: The solution is given below in the next step:

Q: What is the degree of 6a8 -8a 2a - 2a?

A: Concept Used:Degree of the polynomial:It is the highest degree of monomials (individual term) with…

Q: (구-1)-(4-V)

A: we have to simplify(7--4)-(-1--16)

Q: 7.) Simplify: (» + 4) + (» – 1)

A: I have used the properties of addition of rational nimbers

Q: Compute r2

A: Given the calculated values, t value, t = 2.17

Q: If 16a4 + 36a?b2+ 81b4 = (4a² – xab + yb²)(za2 + 6ab + yb?), then find the value of v(6xyz).

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Q: 6.) Simplify: -5z + 13- 2y + 7y -8 + (-5z) + 10

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Q: Show that 14C5 x 5! = 14P,. %3D

A: Combination formula:Crn=n!r!(n-r)!Permutation formula:Prn=n!(n-r)!

Q: 7.) What is the quotient of - and 3 45

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Q: 2. Find the interpolating polynomial using NDD of the points (0,0) , (1,16) , (2,48), (4,88) and…

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Q: 1 L-1 (s²(s + 1).

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Q: 1+x dr 1+ x?

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Q: Z4×Z6 has an element of order 24. true or false ?

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Q: 6a - 4b when a = 5 and b

A: