2 Test the distavnce formula fer froblem in Ex-© aboue unkarred coordnates ane (2,-1) and (2,-4) on pair of points whese

Q: EX/ show that im Cosy-1

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

Q: then 7(1 - а)М? + 6(1 - а) Мт %3D ВM?, 7(1 - а)т? + 6(1 — а)Мт %3D Вт?, Subtracting we obtain Y(1 –…

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Q: 2. Prove: cot2x - csc²x = -1 %3D

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Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

A: Please refer the attached image for complete solution.

Q: 7 Evaluate using Convolution theorem: L-¹{²(²+4)} 2

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Q: Determine the solution set of the matric Ax=0 where A= 1 2 3 2 3 4

A: Given the system of equation is AX=0 where

Q: 7. Remwrite the..either.five.exated.nt.agrmls. 1-X FCX ng , Z)dydzdx ZA z= 1-x2 ...... y=1-メ

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Q: 5. Find the on the interval [0, 4]

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Q: Let x = {1,2, 3, 4} and P= { {},{2,3} , {43} - っ- %3D nd

A: X=1,2,3,4P=1,2,3,4

Q: Express In V16 in terms of In 2 and/or In In 16 =[ (Type an exact answer.)

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Q: Prove that S3 = Inn(S3) = Aut(S3).

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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…

Q: 6. Evaluate In (x - In (r-...))dr in terms of some new variable t (do not simplify).

A: Given :- ∫lnx-lnx-...dx To find the given integral in terms of some new variables t

Q: Vhich among thế chôičes satist etters only. 2а. у" - Зу'- 10у %3D0 Co-5x C o2x

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Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: Pre cout of loo Finol cout of 63 200 130 Indicidual Individual 137 Individual 3. Indiidual 56 139 17…

A: A scatterplot is a nonmathematical measure of studying the relationship between the variables. Here…

Q: 8. Express as a polynomilal. Arrange your answer from term with highest degree to lowers degree *…

A: SINCE YOU HAVE ASK MULTIPLE  QUESTION IN SINGLE REQUEST. SO WE WILL BE ANSWERING ONLY FIRST…

Q: 1 Evaluate using Convolution theorem : L

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Q: 3. cooficiant af z" in the apransion 3)11

A: From the Binomial Expansion

Q: 3) Use Green's Theorem to evaluate o-ydx+xydy where C is the line segment from (-2,0) to (2,0) then…

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Q: he have do find out the probabiuty that the Sleted Coin was tuo -headed Coin given that it shows…

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Q: Prove of disprove if the given DE is exact. 2x^2 +4 =2(3-x^2y)y'

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Q: 2) of Ec, 4" is convngend can we conclude that coch of these are comvergent: (4)

A: Given The sires is convergent then,

Q: Is secies absdute conwegent Cor condition ally onvergent divereent

A: Given series is absolute convergent

Q: 2 Caleudale the verbor fanetiom dwsugene and Cuele g the fallowang

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Q: B) Show that coth-x = In ()

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Q: 27. Prove in detail that Q(/3+ 7) = Q(/3, v7).

A: We have to prove given equation.

Q: 2. Show that 1 2 = (1 - )( - )(? y)

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Q: Prove that Vtan a de – 7//2.

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Q: Proof by contrapositive that for x, y ∈ Z, if xy is even then either x or y is even.

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Q: How to proof: R2=(Cov(X,Y)/SxSy)2

A: R2 is defined as the co-efficient of determination, which determines whether the fit of our…

Q: 2 Prove Ccos(n (ulx)] duc)

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Q: 4. Demonstrate that Re(iz) = -Im(z);

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Q: 10. Triangle JLM with verfices J(-5, 7), L(8, 3), and M(-3, -1): (0, - 5)

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Q: (2 Let xinN(0.1), n = 2 and T= Xx +X2 Show that Tis a Sufficiency Stakistic.

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Q: I need help doing number 7

A: We start solving the given equations simultaneously.

Q: (4). Show that of X~UCO,!) as Y=-n-X)~ txponenkalla),

A: i) Uniform distribution : If X follows Uniform distribution over interval (a, b ) then cumulative…

Q: Do not use the inference rules Transposition, Resolution, Contradiction, Idempotence or Identity. Do…

A: given premises 1) x~Ax⊐Dx 2) Ey~By∨~Dy⊐ ~~Dy∨~Ay 3) xAx∨Dx⊐~Ax∨~Dx /ExAx∨ Bx

Q: 15. Find the general solution of dr bcosedr + rsinode

A: General solution of differential equation

Q: Prove that Z(D,) # {1} if and only if 2|n (hint: if 2|n look at ri).

A: Let us suppose, Dn=e,r,r2,..,n-1,f,rf,..,rn-1f and nis divided  by 2. Then, n2 is a integer. We see…

Q: 12. Prove: ΔUΧΖ-Δ AUXZ AYVZ ~ Z.

A: Given: chord UXChord YVand the Center ZTo…

Q: Q-5 Consider NLP problem, max 8() --2+ 2ィ-ズメューメュ+1 ダ」ン0 ズェン」 19 (2). Satsty fnst1 2nd order. For ist…

A: Given: Let's consider the NLP problem max sx=-x12+2x1-x1x2-x2+1 subject to x1≥0x2≥1,xa=12,1  satisfy…

Q: 2) Prove by using the pigeonhole principle that among any 17 points in a square of side one there is…

A: Given: A square of side one contains 17 points. To show: There is at least a pair whose distance is…

Q: 12) a-:]- B-[:: ind AR 3 0 3 -2 1 Find AB. %3D -2 1 0 4-3

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Q: 9 show Itat Ihe maclayvin Sevies For Hense is メ+ メ t.. 4- X

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Q: 7,8 Find the partia l fraction decompositon ) for the catiónai elpressidn. -3

A: The given function is: -3x2x2+5

Q: (2, Prove that Ž (Pn+ Pn+1) hr 9=U (y+1) 27-²8 (14+ 2x=-1) y

A: What is Legendre Polynomial: Legendre polynomials are a set of complete and orthogonal polynomials…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.