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Q: Prove: APQRe ATSR

A: Given :- ∠QPR≅∠STR and PR ≅TRProve :- ∆PQR≅∆TSR

Q: O Prove that Q(Vationalnumber bers)is negrigibleset

A: This follows easily from the definition of a negligible set. We recall the definition and present…

Q: Use induction to prove that the number of elements in any SList of depth p is 2P.

A: We have to prove that the number of elements in any SList of depth p is . Notice that the…

Q: Finding the Inmee ef the Sere af a Mstri le Exerebes 37-40, compute wadifferent ways and that the…

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Q: 2 Gire ample the which the derintin exist for right hand devivtive to kept haud detivalin?

A: A function f(x) is said to be differentiable at a point 'c' if both the left hand derivative(L.H.D.)…

Q: Delamdena Potnds Confrunty at od Jate which therotm u appleable Chale on

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Q: dr Evaluate J Ata²

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Q: © Let Y Le the bunduy of the dise Dle) for ocrcl Suppise fisc on the open disc ole,n Such that Must…

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Q: 4, Find the difence eten he um f thefist the consecutie intgear frm -2 and the sum of hefist for…

A: here 3 positive consecutive  numbers  2,3,4 and  3 consecutive numbers from -1 are -1 ,-2,-3,-4

Q: Compute the orthaganal piojectian of ? onto the lina L through -6 and the origin

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Q: EX: Show that the telation ? >' is PartiaL oldering set of Por R-

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Q: Decide whether the following not proposition îs true ; " There exists no positive întegers ^ Such…

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Q: Show that M=abcd ab,cdeR is the set 1) all ) X) matrics.shou that it is under adlition and scaler…

A: To prove set of all real  2×2 matrices is a ring under addition and scalar multiplication. 1. Let…

Q: Find the interval of En=o 2"(z – 3)" O (3.5, 0) O (2.5, 0) O (2.5, 3.5) O (2, 3)

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Q: Let X: Uc4) out of st andard er dere d uniferm

A: From the given information, X=U4 out of 8 standard ordered uniform and Y=U5out of 8 standard ordered…

Q: 4J Evoluote the deleriminonts to verify the equotion. %3D whiy

A: The detailed solution is as follows below:

Q: Find the area of the inner loop ofr= 3+4cose. 0.7612 0.4775 O 0.9551 O 0.3806

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Q: is R* is contractible?

A: This is a problem of Topology.

Q: find the Midesint of aseJment with edfoin 5) &(59) 6)&分)

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Q: the lo04dinater Y the (entre the Lomic 412 -130 ax- + I16 a 60 ay Heduled il lo the and chente…

A: Given that: 41x2+24xy+9y2-130ax-60ay+116a2=0  ⋯1. We have to find the coordinates of the centre of…

Q: 19) fiud eq uilibrium Point for the demond arol Supplie fumetion of Dq = - 1.259+ 475 and S) =…

A: Given D(q) = -1. 25q + 475 S(q) = -1. 125q + 266 For Equilibrium, D(q) = S(q)  0.125q = 209 q = 1672

Q: Please show steps

A: Consider X is a random variable defined as left-handed individual.And p is the probability of…

Q: rind the directronal derivatius. at Pout P(17,1) of the Funetion in tap directon of Vecekey…

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Q: If ø + SCR is bounded above, then .S has a supremum إختر واحداً: ibs

A: I have proved by contradiction

Q: ) 82 haurs a fter 11:00? and (0, Consider the o-| matries Ħ=) Compute a) AvB and 6) A1B

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Q: umat is bounded, and is not compact in Q.

A: Here the closed means closed with respect to subspace topology. And compact means every cover has…

Q: Describe the largest set S on which it is correct to say that fis continuous. AX, y) = In(1 + x² +…

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Q: Let S be a non-empty open subset of R that is bounded above. Show that sup S exists but that max S…

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Q: Let D be the red region in the below figure. y Then ff, -3dzdxdy is Onegative )equal to zero…

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Q: Let Evaluate z dv.

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Q: Use the Frobenlus seres to And the solutin of こク in Some inseral O x<d

A: A differential equation x2y"+x2+xy'-2y=0  , 0&lt;x&lt;d On comparing the above given differential…

Q: That butt O the Colverse Coucergut Sealuence s not true Show is every the cauchy in qeueral

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Q: 5.) For nzIiecove that teger 1prove 'Dirision Algarithme ncntl) (2ntl16 is an in integer Use the

A: To prove that, for n≥1, nn+1(2n+1)6 is an integer

Q: Determine Z- Trans furm in cludig vegiva of con vergence in n 7o メ(At n<o

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Q: 3 im| t In| 1+

A: Let f(x) be a function defined over the interval [a,b] and let c be a constant such that c∈a,b, then…

Q: (b) Let # ACR be bounded below. Prove that Inf (A) =-Sup(-A). %3D

A: Let A is non-empty subset of real number . Let A be bounded below then we have to show that  Inf(A)…

Q: OFind the sohution of the intial Value plablem ty'=y+3Vy312, yle)=0 B) nune.ofithe given arswes

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Q: How do I show this proof?

A: Given that To show that,

Q: Compute/o . Show your work.

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Q: Since, F is bounded both in LOR) and in lIR), it is Latnded in LLIR) forall fe[1,0) (Prdtem 31).

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Q: If o + SCR is bounded above, then S has a supremum. Select one: True False

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Q: Consider the pantial order L on the Ael A =h Luffy, Zoro , Sanji, Chopper, Robin, Brook, Nami, Usopp…

A: Total Order Relation:- Let  R be a relation on a set say X then R is Total Order Relation on X if 1.…

Q: Consider the folowing diforential eguaion %3D Solve the diffirential rquation

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Q: Find the area of the inner loop of r = 3 + 4cose.

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Q: Set n n and K intgers 1SKE ni Shorw that 2n42 2 - 2n %3D K-I Kニ)

A: Binomial Theorem: According to the binomial theorem, let x and y are any two numbers. Then it is…

Q: Let D be the closed region in

A: Given,                    x2-2xy+y2+x+y=0   and      x+y+2=0

Q: Let X be a rs from Exp(0). Construct a (1 - a) CI for 0.

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Q: For what values of aand b is {u, v} an orthonormal set?

A: A set of vectors form an orthonormal set if all the vectors in the set are mutually orthogonal and…

Q: 7 Write the quackatie fundion anose nertex b (-2,5) and wise 4-int is -1 in Staniald foron

A: The quadratic function has vertex -2,-5 and whose y-intercept is -1