6x:-ld 212CK) 's aving of integer num 12 and fo), gaJE Z, ) such That 9Cx) = Prove Fhat dey (fagx)) =cdey f cx) +degg a)

Q: O If fCos,y)=xty-xy%,find Joc-1,y-2. DIf 2=ea>c+ ky oflexx-by), Prove thet baz + ag = 2abz.

A: 1.Given function is fx,y=x3y-xy3. We have to find 1fx+1fy1,2

Q: &2/ suppost se =20, 1} and c={208{ fie ld =20,18 and e= Enumerate the class of all 6- Containing C…

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Q: 9) x² + y² + 12x + 22y + 108 = 0 CX+67² + y +117²=49 CX-47² \ Cy-151²=9 CX-107² + (y +1272²=9 CX-5)…

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Q: O The distibution femetin for eandoy vauiable x m Find (a) The donaity finetim b) He probabitily x)2…

A: Note: As per our Honor code policy, we are authorized to answer only one question at a time. So, we…

Q: Q) prove that aset A is non denumerable iland only if AxAXA is nondenumerable

A: In this question, we have to show that a set A is non denumerable if and only if A×A×A is non…

Q: Then slouw that E Alasf bea, Couly, seguene in D. is also Cauchy.

A: Here uniformly continuous is necessary condition. Here is proof.

Q: dt (e2t + 8et + 7)ā et+4 a) 9ezt +8et+7 +C b) In(e2t + 8et + 7) + c 2 c) 5Ve2t+8e*+7 +c e4t d)…

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Q: 2 is a counterexample of vxay(x = 1/y), where the domain for all variables consists of all integers.…

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Q: a + bi form modulus argument —3 — 3і - — 2 — Зі $1 · $2

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Q: 4 Lonsider the functlan fx)= -5x4- |l+x?tx-17. functfon Fex)= -5xH-|l+x²+2x-17. 5xH-113+ Whatis r n…

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Q: tind 16)790) Sorn that ha)=G0g)(x). Letg=2x+3 ha)= 3 12x43 11

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Q: 26 a ba Q(1E) = }a+bV2 / a, be Q4 2.1) Show (K,t,') eld under add. and rmult, of amotmias 2.2) Show…

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Q: Theorem anan ompty subsotsof_CRr+r)is-asubringafR- ifand onlyik@ a-bes,Vabos O ab-es,Ha,bES

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Q: Prove that the operation * defined on M2x2(R) by taking A * B = A. B V A,B E M2x2(R). %3D is an…

A: Given that A*B=A.B ∀ A, B∈M2×2(R)

Q: Psuppose that fandg are Funcnans. severalvaiverof ECA), F()19g(x). and g'ex) aregiven below. Use…

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Q: Let F) be a differentiuble func Hen Such that Then g/2)= AS 912)= the equaben of Hhe fagat ine to…

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Q: prove that each wff is a valid argument. (∀x)P(x) ^ (∃x)[P(x)]′ → (∃x)Q(x)

A: As per the question we have to prove that the following wff is a valid argument : (∀x)P(x) ^…

Q: O prove that If F is field with IF)= 9=p" then IGh (7)1= (9"-1) (- 4)

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Q: A cosets of of 212 are اخترأحد الخیارات + 2, +1,.1 O + 1,.2 O + 4, + 1, .3 + 4, + 2, + 1 , .4 O

A: Cosets Definition: Let G be a group and let H is a nonempty subset of G. A left coset of H in G is a…

Q: find fundamental set of soleubions cwith d real va lues for

A: Using differential equations,

Q: Coshlutv)= Coshucoshv+ Sinhu Sinhk

A: we will use sinh(u)=eu-e-u2    &   cosh(u)=eu+e-u2

Q: Give an example of a closed subset S of R^2 such that conv S is not closed

A: An example of a closed subset S of R2 such that conv S is not closed is given below.

Q: Prove that ifx, and X₂ are o-fields, then хід Ха is also a o-field

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Q: Let x, y ∈ R+. Prove that if x ≤ y, then x^2 ≤ y^2 by (a) a direct proof, and (b) a proof by…

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Q: For Jhé fallowing She re LP paoblems, gaph f feasi ble solutions ( f the Ahi Exists) and melhod. One…

A: Since you have asked multiple questions, we have answered the first two questions. If you want the…

Q: 3) Let f(x) = 1 + 3x on [-8, 2]. Find the number c that satisfies the mean value theorem. a) O C= b)…

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Q: 6) fa) s. bolynomial y Show that dey n with real Coeficiont, which takes integred values on a…

A: Given: f(x) is polynomial of degree n with real coefficients, which takes integer values on a…

Q: Queshon 6) Compute the arthogonal projection of 8 onto the Line L through -S] and the origin. -6 LS.

A: We have to find the orthogonal projection of v on the line through P and the origin.

Q: Test various symmetries: 203 +5a²y–a²} =0, which of the following statement is correct. • Not…

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Q: f U1 and U2 are both upper triangular matrices, and L1 and L2 are lower triangular which of the…

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Q: let it be T=11,2,3 } S:la,b,c] Proved P(TNS)E P(S)NP(T)

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Q: (−1)” - {1- (-²; n = N / is n The supremum of the set S=1- a) 1 b) 0 c) n d) 2

A: We haveWe have to find the supremum of the set S.

Q: I The operati0n 25 defonçdon at be ertban'.shoo thert 5*(*4)d55) 2. luco operations A and* are def…

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Q: proving card{Q} = card(QU{e,pi,sqrt(2)}) and also if A1,A2,A3 .... is countable, then The infinate…

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Q: If x, y, z are integer's numbers then: 1) Show that if x \y then x \yz 2) By use part 1 show that if…

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Q: Fin Sup(S) and Inf(S), Where 1 S = {1. п

A: Consider the set S=1, 12, 13, ... , 1n, .... Observe that as the value of n approaches to infinity…

Q: flx) = x (x-2)+g Eメとス ;if x22 Show that there exists a S such +hat 1x-2166 implies fex)-8<A

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