Showw Fom yex)=D90Y,(x) + a, y,(x) that seris sol utron is of the hene y,cx) contains only even powers o Mile ocx) conteins only odd powers x.

Q: $. flx) =3=x*, glx)=x² -4 d) Domain A domain H) Domain

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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: het fncx) = 1 + 1JCa 10 Evaluate [faces doc @ Find facad face) and face) Ⓒ find lion faces and f'cor…

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Q: The interval, where the IVT will be verified for the equation f(x)=sinx-xcosx is a) (1,2) b) (4,5)…

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Q: How, Form P.D.E. from: a (3) Ucx,y) = (x²+a)lytb)

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Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

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Q: 8- Evaluate a) ſe² + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) J 73-9x²+8 esc²) dx Csc2 - х3-9х2+8

A: We have to use proper substitutions.

Q: Yo' = Be + B, Xq+ BeX2+ E O Find 8,,B2 by MLE Find Efe), vant0,), E(B2), varil@e)

A: Introduction -  Maximum likelihood estimation (MLE)- statistically MLE is the method of finding or…

Q: Q13) The function y ce) (atis fies the differen tral equarion 9+ty's 2ey = 2 cosScE) with initial…

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Q: Q2/ Check the symmetry of r² = -sin(20) %3D Ans./ Symmetry about the origin

A: Symmetry

Q: 8. Triangle BCD with verlices B(-2,3), C(8, 7), and D(-1,-5): y»x B' J C D'C

A: The given points are  B(-2, 3), C(8, 7) and D(-1, -5) And y=x We have to find B', C' and D' To find…

Q: Giren that S ) FWdx=2ondd SZ flx)dx=-7Pnd the roluç of 76Sdx Plx)dx=-77ndthe Yoluç. of

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Q: A S O Consi der Hhe folhning {(01), (-1,)}, B = [x]e - [;] %3D O find the fransi tion matria from B…

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Q: 2 22 2.2 り= ptasp;t P3 %3D 2

A: As per guidelines, we will solve only first question. Let us consider the vector space V3ℝ and…

Q: 7- drotan G) Find des dy

A: Given a function : z=arctanxy We need to find dzdy.

Q: Q3) find tne u bait ve ctor Pointing for ACe,3) to the (0,0)

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Q: 4.05e fa)=5x-2.4gk4ーズ al (fog) (-2) 2.

A: Consider the functions fx=5x−2gx=4−x2

Q: 12) If a, b and c are the roots of x' – 2 x² + 3 x – 4 = 0, find the numerical value of a’ + b' +…

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Q: fen) = 3] cn+4) Find the interrals of concavity and the anfieeion pornts of fen)

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Q: Q)is a) x^2=y^3 reflexive antisymmetric Transitive  Explain it correctly,solve only when know…

A: We have to find the correct option