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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: Hw. Determine t posdise red nd d. Sinx a x 2 In(X):07, de. os, Xa. 2, 3-tealion by e position fndla)…

A: NOTE:- By bartleby rules, only question (1) is answered

Q: Aro/ prove JhaT cosh(?14z)=coshzi cosh2.+ Sinh2,Sinhze Hiw/ It isinh Z = siniz, prove That: %3D…

A: Note: As per bartleby guidelines for more than one questions asked only one question is to be…

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: The Anctien fay 'and i not depned frather veher stake the demanin of sec d h....... the invens…

A: Given that f(x) = sec (x) ; 0<=x<pi/2. we have to find the domain of f-1(x). and we have to…

Q: IF F the Polynemial Eunction is > FCa) = dotan X t azX +..t an X then Fur a mati x A Of n xn, de…

A: The given matrix is A=2045 and the polynomial function is defined as F(X)=X2-5X+2.

Q: 3) Let PIASR ond Thi AxC ßeD. Then his a Anction. Te Ø # 4 B and ø 7b cD then that h'(Y x Y% ]=…

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Q: Q Find the deriva tive using the de fini tion (x)

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Q: 2 cos Ø sinotos"0 csc0 Reuorite the expresson as a single triganometrie function whose anqument is…

A: Given: The expression 2cosϕsinϕ+cos2ϕcscϕ, To simplify: The given expression in term of one…

Q: Presley tried to prove that AFHJ~ AGHII the following figure, but her proof is wron F 2 G H 4 I What…

A: Check the each statement that it is correct or not than select from the given options.

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

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Q: Led xe R be such thad Xn→x, show that %3D

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Q: i) um asinx-sin2z ,u fünute, fünd the vaue the uimit. tana ofa and

A: Now, the limit is finite given so, the above must be 00form So,  a cos0-2cos0=0⇒a-2=0⇒a=2

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: Can Thenem a Séauekie loubimoue of at usuo EX i for OR nemeed is coutimons al spae) nomed fix→X(when…

A: Let f:(X,dx)→(Y,dy) be a function continuous at x=x0∈X       if and only iffor any sequence {xn} of…

Q: 9f d prove metric on x then that de de7ined by als is d (x, ) is mateic on x

A: The solution to the given question is explained below.

Q: 3) suppose fle) is a defferentiale funchou on the interval E-7,1J Such that H-7) =4 and fli)=1.…

A: Given, A function f(x) is a differential function on the interval -7,1 such that  f(-7)=4 andf(1)=-1…

Q: if y= Cot" (-+) y=Cot Prove that dy 1-x

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Q: dz and du dz Find when u = In 2, v = 1, if z = 10 tan'x, and x= e" + In v. -

A: Here we the chain rule to get the answer .

Q: Let 서, N2( Trom a piabtion with pnf P(X=x) = O* (1- O)" 1-x X-O or 1 al Fird HHe melhed of morestos…

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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: ome If y tanx, prove that y"-2(y +1)(3y+1). ir If x= sect and an

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

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

Q: #4) What valwes of c Cif anu) are predicted by the Me an Vae Thearem for the function fex) = (x-32)o…

A: The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and…

Q: ove that 1 cosh(tanh) = -1 -1 < r < 1. V1- 2

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Q: tain we and tangent together. 6. у %3D (х — 1)? + 1, (1, 1) 1

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Q: 4. Find Rable With respect ho X and X is also iable nith respect b . a ssuming fhat Y is diffrent…

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

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Q: Let S(の= メー4x + 3 a> find The wer texc o Describe The end behavier ondgraph c) Find woe fie inc reas…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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

Q: O Let n be a posidive indeger with n>2 (x) Sten Ca) dx = tonn-t n-2 ton" (x) dx n-1 Derve the reduc…

A: Given ∫tann(x)dx, n≥2

Q: 2 If s Sinants COs ant 3 an= ০ । A. limitdoes not exist 2.

A: Series and sequences

Q: formela for the fun thn yoga) Con súto of two line 2) Write cmula whose as in fguve the f Mawing : 6…

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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: Nhat is Duf at P(1, 1) if f(x, y) = sin(x - y) and u=i-İ? 3 O 5 O 3 4 O 10 9

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Q: If fuf fuare difla Veubableat XoeI n prove thacd Cfisfa fu) isclifferantiable at vo aucde.

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Q: B. If f = x²cosy + y²sinx then show that fry = fyx ух

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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: 21. xª sen z dz -z' cos z + 3z² sen z + 6z cos z 6 sen z + C %3D

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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.o/ prove haT cosh(zi42e)=Coshzcoshai+sinh2,Suhze

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 2くメくwhich of thhe Polowing Statements about X are nec. sS ar:ly true sand which are not 1ecessarilly…

A: Given that 2&lt;x&lt;6.......(1) We have to show which of the following statements about x is…

Q: Prove: AMOLE ANOP M Statements Reasons D ZM2ZN 1) Given 2) LO PO 2) Given vertical 3) ZMOL LNOP 3)…

A: Vertically Opposite Angles are the angles opposite each other when two lines cross and  vertically…

Q: B) Define Hthe gevere preduct Ĉ ofi the truo wacderes Ä above. cros

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Q: 3. Gien that F cxy) = s Can servative find putantial -> functin fo Ě a

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Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.

Q: l? sc tue suell metuozd to fired tue voune of te Solid genented the by rerolning the plene rgim…

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