41. If yo Yı • Y2 , Y6 are the consecutive terms of a seies, ..., then prove that Yz = 0- 05 (yo+ Y6) – 0- 3 (y¡ + ys, + 0- 75 (y2 + Y4).

Q: Since b =2i ̂-j ̂-3k ̂ and c =i ̂-5j ̂+k ̂, what is the result of ( b . c )?

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Q: Q1-let A = 6a B - ; ) [2 3 & B = Verify that (AB)" = B" A"

A: Explanation of the solution is given below....

Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively.Prove that S3=3(S2-S1)

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Q: 8. Provide justification for you what will appear on the ex asked. (-1)" (2n)! (a) n=1 n4 – 4n -

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A: Consider the given equation. Find the characteristic for c if a, b are positive integers and ( x, y…

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Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: Find the solution sets using U-Form. а. 20х4 — 25х2 + 5 3D 0 b. 5х3 3 4х6 + 9 4()? + 19 () –- 5 = 0…

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Q: 15 Apply Garass elimination methad to solve the Sy stem, 2X+y+22=3, 3x -Y+ 4Z=7 4X +3y +6 2- S

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Q: Find det (A) (2 3 4 5 1 32 4 A = %3D 5 34 1 4 2 3 5,

A: To determine the determinant of the below matrix. A=2345  1324  5341  4235

Q: 4. Find the solution to an 7an-2 + 6am-3 with ao = 9, a1 = 10, and a2 =

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Q: (d) The apartment is hot if and only if the temperature is not 75º and the air conditioning is not…

A: Here given Statement in English convert them to symbolic form using standard notation

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A: Let ? denotes x and y respectivelyGiven:…

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Q: 2. Count the number of rearrangements of the word TASTE in which no letter appears in any of its…

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Q: Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if…

A: Answer: For the given data,

Q: 2. Regarding the following statement: "If xs9, then -3 Sx and xS3." (a) Write down its converse.

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Q: 8 {4} {{ {}₁ s² + a² s² +6² (1)

A: Given: L-1as2+a2·ss2+b2............(1)12∫sin2t+3u+sin7u-2tdu............(2) We have to find the…

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Q: 2. a. Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive (yes, no, or maybe)?…

A: Basics: To find the events are mutually exclusive or not

Q: iken that I+2=1 xpressyin terms of xand z.

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: 2 Let A = then det(3AT) - 18 -6 -2 II

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Q: Show that if l a - 5 I < ½ and l b - 8 I < ½, then we can conclude that l (a + b) - 13 I <…

A: Given that a-5<12   and   b-8<12. This implies that,

Q: Now we assume that P(r) is true, that is, r can be written as a sum of 3s and 5s, for any cases,…

A: We are given a statement and its proof. We need to answer two questions about the proof. More…

Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…

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Q: 3. (a) How many solutions are there of the equation x + y + z + t = 14, where x,y,z,t are…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 2-Prove that: B (m, n)-ß (a,m) 3- Simplify to the simplest: (2+0(1-0) (1+0)(3-2)

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Q: When are ~o attributesJaid to be positively assOCiated and nep'tive1y associated? Also define…

A: In the theory of attributes , the attributes A and B are said to be associated with each other only…

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: Q2.2 Compute 3 -7 2 3 3 -3 det 3 -8 2 - 3 2 2 (Entor the

A: according to the guidelines we should able to do only one question at a time #2.2

Q: how did the y' and 2y' apearred out of no where in line 7

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Q: Show that: If |z| = 2, then: z* – z2 – 4| Re < 6 z + 6

A: A complex number z=x+iy are graphically represented as (x,y) on coordinate plane. The polar…

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A: This is a problem of propositional logic.

Q: 7. What necessary and sufficient condition do you need to impose on an integer c so that the…

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Q: [Hint: For m > 2, ( 2 7. For n > 1, verify that + 1 1² + 3² + 5² + ... + (2n – 1)° = ( 2"" ) - 8.…

A: Let's say we need to prove a formula or a statement P(n). To prove this, we need to prove that The…

Q: 11| Q1) If A--2 -1,B 3 3 4 -5 -1 -1 13 -1 Find (–1 x A) + (B + C)

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Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively ,Prove that S3=3(S2-S1)

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Q: 2 Test the distavnce formula fer froblem in Ex-© aboue unkarred coordnates ane (2,-1) and (2,-4) on…

A: Distance b/w (2,-1) and (2,-4) = ((2-2)2 +(-4+1)2)0.5…

Q: Q2/ prove [A] [A] = [I] if [2 4 -5 [A]= 2 7 1 3 4

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Q: 13 + 33 + 53 + + (2n – 1)3 = n²(2n² – 1) - ... Ensure that you explain the steps taken.

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Q: 51 3 -[---] -4 2 -2 Let u= (a) 5u-2v, 3 V= 5 W= -1 Find:

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Q: Suppose that X, Y ⊆ U. If n(X) = 24, n(Y ) = 18, and n(X ∩ Y ) = 14, what is n(X Compliment ∪ Y ) if…

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Q: 19, Obtain the eight incongruent solutions of the linear congruence 3x + 4y = 5 (moi 84 ELEMENTARY…

A: To obtain the eight incongruent solutions of the linear congruence.

Q: Prove they are equal 4 = 7(2x+ 1) - 5x -3(3x + 1)

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Q: i am doing equasions with pronumerals on both sides and one question i have to solve is: 6a+13=27+3a…

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Q: 11) Which of the following shows the solution for n2- 2n < 24? 十十 A) 6-54-3-2-10123456 + +++++++…

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Q: A culture containing 16 bacteria doubles every day. Which of the following formulas represents the…

A: topic - exponential function

Q: 27 1 2-r2 4. Evaluate: r dz dr de Jo

A: Solution

Q: 4 Find the 2nd partiol deriratives of 3x*y+y-4x+7 2

A: According to question, Let fx, y = 3x2y + y3 - 4x + 7