matoix Such that show that Let is Then detx = tt mxn

Q: Ao/ prove JhaT cosh(2i4ze)= Coshzi coshde + Sinh 2,Sn hze

A: The main objective is to prove that coshz1+z2=coshz1coshz2+sinhz1sinhz2. The following formulae are…

Q: Assume that a b•c and that gcf(a,b) = 1. Prove that a lc (hint: use the result that gcf(a,b) = 1 iff…

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Q: x+y uis = 1 n upi = no • prove that x-+ y-

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Q: f cos /Zrdt Hint: let os /2rdt Hint: let /21 = u { Aresin nde - xdx 2

A: Hello. Your question has more than one parts, So we will solve first question for you. If you want…

Q: het c denate the tine segment nd z=1. Show that zp

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Q: Prove Coutr apo sition each 4 the pollowing sted ement by 4 s odd then rS odd fa) dn to theu tere…

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Q: d) Using Demoivre's theorem, show that, if z = e“, then i(:-" - ") sin no = ne N+ 2

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Q: a. Show that Ø, R E T. (by definition of Topology)

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Q: example of which is not Noe therian. (prave) ) Make an Artinion madule

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Q: Find y(0), y(1), y(e), y', y", and a formula for y(") where n is a natural number. Use DNE, Does Not…

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Q: r próducts, šó thát théy indeed. They took an a ts to explore the claim -ies randomly.

A: Let X be the random variable such that the life-length of the battery producer company fabricates.…

Q: 1 Р ven as If th ● q 2 x are real and positiv llowing relations shc

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Q: 2) Let W = that NOT Sobspace f e? Suow

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Q: If I, = [x^tan"x dx, Prove that (n+1), + (n-1),,2 ° п 1 %3D 2 n

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Q: 4).ェ Pare subset, -f y such that CeD than fic) is not eD, then the Convers %3D そイue.

A: Solution As it's mention C=D and f^-1 same , so each and every element from  f inverse we get equal.…

Q: (3) Prove diprave: or a cluster poinl xs a beunhry pont af A. (E) In (X,2), it VxeX, Exy E then (a)…

A: (a) Given that (X,τ), A⊂ X and x is a cluster point of A. Definition: Let A is a subset of a…

Q: Dis - let g: 2Z, such That Disc Prove That. 960= 2X, e, But is not suek Discrete struar Discrete…

A: Introduction: A function makes a relationship between its domain set and the range set. All the…

Q: Drag the postulate or theorem that proves the trieng AZWX AY XW a. ATSU AXVW # SSS E SAS

A: which criteria follow to congruent triangle

Q: aps odrbes show that uyx = 1+ - and that var(Y|x) does not exist. on 1

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Q: rove that spaces Ip for os p<l If for pe(0, 0) {0} and complet. are

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Q: It Question : Ins -(第) IRS in Let Xに Xz= Find leng ths f xi, Xz and inner product of Xı, Xz の Frnd…

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Q: Fiven: LM NO; ZLMO = ZNOM Prove: LO = NM Reasons

A: Given that: LM=NO, ∠LMO=∠NOM

Q: ag show that: coth's =ţ he (xal/, X-1

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Q: E/Prove the foltowing Eoshtutv)= CoshucoshVt Sinhu Sinhk

A: To prove that cosh(u+v)=coshucoshv+sinhu sinhv

Q: 7) Prove te follo aing theorem 18 A and B ve madrices cof siees such that ore odition is defined…

A: Suppose, A and B are matrices of same size such that,    Where,   Now,…

Q: Q41 state, give reasons which of the following subset are compact or not 4. {(x,y):x + yi = 1} 5-…

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Q: Estoblosh induction. the for mulas helow by mothemotial ncnt) a 1+213 +. th = tor all nz %3D

A: Solution: The objective is to prove the given statement using mathematical induction

Q: (3) Determine whether The following tundions are unitermly continious. Justity your answer Ca) f:…

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Q: O Gven rref(A), -[!!] and A represents for mation →R; Tlu)-Au. Imear trans- Ti R State all rectors…

A: How to calculate the range of the operator T, whose corresponding RREF of the matrix is…

Q: 27 dr = iex+ h where a, b> 0. Prove that

A: Prove that , ∫-∞∞e2xae3x+bdx=2π33a23b13

Q: Q/Use Definitien 13.4-1 +o prove that f(x,r}>x+y' is difterentialeat (o,0).

A: Given function is  fx,y=x2+y2

Q: 14 Jlgull s(e)= f(2) =Re z is continuous ylgn O Ihs O

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Q: Find te Turer saies onsion of the periodie fun cdon when definition of on eried are -2<tく - 5) 6くt…

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Q: R Given: RT = QT, AT = ST A s, Prove: AQSTARAT

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Q: Ôz Ôz If Z= tan"'(2) -= 0 show that : *-+ y ôx ôy

A: Let us consider function z=f(x,y) Where f is function of x,y. ∂z∂x represents partial derivative of…

Q: Homework Qt Prove that Hmin EIN such that -) ncm usng using the Principle of inducten

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Q: Let 54 where Xey EA a Prove That RB equivalonce ceblion on Al Determine ll Idis tinct equi valance…

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Q: T. Given ;XTE KR ZWST Prove : SR Il TW.

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Q: find the root of the fnmetion ーX FCx)= ē^ _ x which lies betwen (o %3D

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Q: O let T:R?→R² be a lineas tanafor- mation Such that T([:])- [ ]. T %3D Find matnie A Such that T(x)=…

A: Given that T:ℝ2→ℝ2 such thatT11=41  and T01=32 We have to find the matrix A such that Tx=Ax   ,…

Q: the interud Dlve the equation on Ose<aTT 4Sin 0-2=0 Jhat to 4 SinG -2= in are the the interval

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Q: a?u, a?u (c) = 0;0< x5 5,0 sys 10 əx² ду? subiect to

A: Given,     ∂2u∂x2+∂2u∂x2=0;      0≤x≤5,   0≤y≤10    ...(1)subject to      u(0, y)=u(5, y)=0; 0≤y≤10…

Q: show that fE Riemann [o,!] and Find f de

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Q: Using Eirjenvelue melthed envalie methed +2y dy ?a-2y 3 of

A: Given that, dxdt=-52x+2y   and dydt=34x-2y write in matrix form, x'y'=-52234-2xy for eigen values,…

Q: R Given: OR L ON Prove: ZROT is complementary to ZNOT Proof:

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Q: Sketeh and evaluate the reverse in begral 9/x Jy de

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Q: QR I RS and UV 1 TÚ. Construct a proof that ZQRS = ZTUV.

A: First, we sketch the situation roughly  We have to prove: