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

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

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Q: (-2y%3D 6. (2). (-8, )

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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: Hw/ If 2x, - X2 + 3 X3=2 メi+3X2- メ3=11 2 Xー2×2+ 5X3=3 %3D Then Find The values X, X2

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Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: 1 d 2n=1 =1n+n ur

A: Here we have to calculate:- ∑n=1∞1n2+n=∑n=1∞1nn+1

Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

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: Choose all factors of 21xy+18x+6xy^2 A. 2y+1 B.y+2 c.y+6 D.y+1 E.2y+3 F.x g. 3x

A: Consider the expression

Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

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: Find: W(e2x, –5e3x) A. 5e3x B. 4e5x C. -5e5x D. -4e* E. None

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Q: 3 | (16t3 – 12t? + 6)dt

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Q: 2 3x -7X 2. ーX+2X 3x-7X Plug-1 in the (x) -x²+2 X 2.

A: The answer is   -10 / 3.

Q: 5V2 + 6/64

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

Q: Evaluate s(s³ – 4) ³ -4) 3 ds Vs –10s² + 6 99. |

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Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: Let A= [4,7] and B= (1,5) find the following a. A U B b. A n B c. B-A d. A n B^c

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

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Q: x³ +x² +x+7 x² – 1

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Q: It is known to be Q-N. Accordingly, show that QxQ ~ N.

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Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

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: dy Find dr if 4x + 3y? = 25. 2x2 None -2x -2x2

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Q: 7) - 7x - 2y = 13 x = 2y + 11 -

A: The objective of the question is to solve the system of equations for the variables x and y. The…