/prove the fottowing Eoshlutv)= Coshucoshv+ Sinhu Sinhk

Q: Prove that neQ

A: Given ddxxn=nxn-1

Q: use B-furCtion definitionof devietive to prove that if fis diffevetiable arto, then fis…

A: Differentiability implies continuity

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: 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: Show that the mogping LiPaRI-+IR L Carcaxtat = (asta, on) is liher trasfaret

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Q: 2. if it was P(x)=ao+a,%tazk Prove that PecR) inner multiPlication sPace

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Q: That are independ That are mutually

A: The statement given is ''We use the Special rule of multiplication to combine events ''. The special…

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: Show that (A, <) is a poset. (Hint: While showing antisymmetry and transitivity, you may need to…

A: As per guidelines, we will solve first question only. Given A=1,2,3,4,6,8,9,12. Consider a relation…

Q: theorem Every Ving Can be imbeobling în aving with

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Q: Is the produ ct elementary. matri ces dalways OF two an swer. elementary ? Sustify your

A: The product of elementary matrices need not be an elementary matrix. Recall that any invertible…

Q: 18, then Ku = 3 and µ4 Af U2 %3D %3D Select one: O Platy O symmetric O Lepto O Meso

A: Solution-: Given: We find

Q: . Prove that an→L = Jan] → |L]. (Make cas

A: Given that an is a sequence which converges to L that is, an→L. Then we have to prove that |an|…

Q: 2. Use Cauchy- show that each of these funedioca is. nowhere analati -Rlemman.cqmtione to bfi27=2xyi

A: Nowhere Analytic functions

Q: Verify that He follow egunbin is an ielartiky Fan o -sino 2 tano

A: We will use various trigonometric formulas to answer this

Q: (i) (Z- Q) and specified in it using the most concise notati

A: Firstly we write elements of both sets Z and Q and then find Z–Q

Q: Prove by induetion onn that for all irdegers nz2, Nz2,Gilit)

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Q: if if +1 proof that hot comtin aous Otis Riemann thtegrable

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Q: Prove the adentities. tano+ coto 1+ secolcsc 4-Cote I-tane

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Q: prove the ITT₂TT, ITKITI"

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Q: Prove that diyrwl

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Q: Prove CPA CCQUR)Ve). A SA (CRval

A: Given: The statement is  To prove: The given statement P∧Q∨R∨Q∧S∧R∨Q∧P using truth tale. Formula…

Q: 6. If u=,%) prove that xu, + yu, + zu, = 0

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Q: Can these two trangles be proved congruent, if so what postulate can be used?

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Q: Let x and y be non-negative reab· show that, use Proof by Contradietion X+4 2

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Q: If |z|=1,show that (z^-1) =(z congegate)

A: Given z=1 We have to show that z−1=z¯ Since, z=1 ⇒z2=1 We know that z2=zz¯

Q: Prove tuat fsecodo-On/sece + tanco

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Q: Use the given information to prove that m2 m23. Given: mZAEC = mZBED Prove: m22 m23 %3D

A: Given-  m∠AEC=m∠BED and consider the figure, To prove- m∠2=m∠3

Q: Prove that $lax) =se³ is Cont. on ts don

A: Given: fx = x3 and δ≤1 To prove: f is continuous on its domain.

Q: Which condition would prove ΔDEF ∼ ΔJKL?

A: Given problem is : Which condition would prove ΔDEF ∼ ΔJKL?

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

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Q: 4. Prove that, VR, -11-

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Q: Prove coshlutu) = Coshuashu.

A: Given data is : coshu+v=coshucoshv+sinhusinhv To prove the above equation. Use the formula of…

Q: Consider AJRL and AMNO A Which piece of information can be used to prove that AJKL AMNO by AAS?

A: AAS stands for Angle-angle-side. When two angles and a non-included side of a triangle are equal to…

Q: we need to find for and poove foinmmulas and This question is based on Secosd and umbers. of…

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Q: Let f lany) prove that' flany) di f feren tiable I5 not point lo,0) .

A: Let the function be fx,y=xy Note:  [ We can say that f is differentiable at (a,b) if f is…

Q: Let it be S={ ujuP alinearly in dePendent SEl

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 6. Given: VT bisects LSTU. ZU LS Prove: ASTV AUTV Proof: Statement

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Q: 3 has infinitely many soluti

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Q: Give 5 examples of Postulate and Theorem using own words, based on rea-life experiences. Do this in…

A: Postulate: A postulate is a statement that is assumed true without any proof. Theorem: A theorem is…

Q: Given: STaVU T. Prove: 4SVTZUTV

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Q: Prove that azdə † czbz and dib dzbz

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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: If fel²() and gelices. prove that fgeles.

A: Given that f∈L2(u), g∈L2(u) By definition If  g∈L2(u)⇒||g||L2&lt;∞

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

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Q: A prove that Newboń's for ward formal?

A: Note: Since you are asking the prove for Newton's forward interpolation, but the given formula is…

Q: Prove that commutativity hol

A: Let x,y∈V and  x=(x1,x2,x3,......xn-1,xn)        &amp;       y=(y1,y2,y3,......yn-1,yn) Then we need…

Q: Prove that (u + v) · (u - v) = llull2 -llvll2 for all vec­tors u and v in Rn.

A: Consider the given Vector equation, u+v·u-v=u2-v2 Here the objective is to prove that the…

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