biveniJN/AN, Dis the midpoint of JA Prove: AJON E A ADM A.

Q: B) Let f:R - R be defined by. 3 if x rational number. f(x) = if x irrational number !3! Show that f…

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Q: Ex:@ Suppose thet the tallowing transformutioun Conneciãs the (x') and (xi) cordnate ار ک هأولاS…

A: Question: The transformation is T=x¯1=ex1+x2x¯2=ex1-x2 Calculate: (1) The jacobian matrix J and J-1…

Q: Ex 15: Prove that : d du tanh u = sech2 u dx dx Proof:

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Q: Prove does the theore m" Twwo parallel line each other" ond two not. intersect. also guve paralled…

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Q: If f is Caib], ab solute maxinum continouus on then f attains valye fcc) and an ab solute mirinum an…

A: Que: Ans : Given         f(x) is any continews function on [a, b]          Let f(c)  be absolute…

Q: 4) The inverse of y In a2 is: a) x = a" .b) x = a²y, c) y = a* . d) y = ax 5) the derivative of 5tan…

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Q: 3. lea f=R^-> R िये = सैघ and onsigler the following optimization problem: 3+0 naz tca)…

A: Given f:Rn→R is defined by   f(x)=12xTAx. We need to prove that Hessian of f is a positive definite.

Q: a) b) c) True or False? Please explain your answer. (5) (f(x)dx) = ? da S dr = dr = lnz+c. 11

A: “Since you have asked for more than 3 subparts, we will solve the first three subparts for you. If…

Q: (Ri. - .) (Fj -X.):Zero prove thete

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Q: exemple where cxiste Iab] Grve an g though f s unbanded a even

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Q: / (sec. sec u tan u -1) du

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Q: Determine if variahle perable, Homoaent0us Exact or non-exad" and find fhe dferenpal E quation

A: Given : differential equation                 r+sinθ-cosθ dr+rsinθ+cosθ dθ=0 To determine if the…

Q: AD perpendicular to OF is not given , please prove also this

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: Q Use Newton method to find fis), f'9) 9. to fou 3. 10

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Q: interior to a Ex: let to be any Simple closed Contour C, when flaxed ?? de no dz = 2πT ( Hw a) and…

A: Cauchy integral formula for higher order derivative is :-fn(z0)=n!2πi∫cf(z)(z-z0)n+1dzwhere c is a…

Q: lemma: let f X→2, cont. J I' yCY with Subspace topalagy and then Fly :Y-→ (restrection of Ĥ to Y)…

A: Result: is continuous iff and only if f-1(V) is open in X whenever V is open in Z. Given:  is…

Q: Is AB a tangent to OC? A 5. C 15- Your answer: Yes, AB is a tangent. nt No, AB is not a tangent. 14

A: We have to find tangent

Q: 3. Les f=R^ R fo) 310 ज्य सेज and onsider the following optimization problem: maz tc)s.t、以42ス土3ス=|…

A: let f:Rn→R fx=12xτAx                 ...i where A=3-10-121011 optimization problem  Maxx fx such…

Q: Let D={(x,y,2) : x2+y2+z?s 1600, z2 o}. Evaluate - z dv.

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Q: Show the for indepenelent functi ns ニ

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Q: BC//EF Dis the midpoint of BF prove ED congruent CD

A: BC//EF Dis the midpoint of BF prove ED congruent CD

Q: If  u=sin(x+2t), then (∂2u/∂x2)=(?)(∂2u/∂t2) What is the coefficient of (∂2u/∂t2)? a) 2 b) 1/2…

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Q: b) = f ) then prove that x ux + y uy + z uz = 0 u

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Q: # if Alu) is a differentimble veetoru u and l A(W) Il = 1 . fonetion of Prove that dA is…

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Q: tind Yaduis ot curuature of the Curue O r= 2t i t (1+); - 2t k at (2,1,-2) 13 Brofi+tietk at the…

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Q: Let then Y F (m,n).

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Q: F(x) = -x-I de fined C-l107 shaw that Fis Riemann integ rable

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Q: rreflA)=[,!] and ® Goven A represents for mation T: R'> R; Tlu)-Au. State all rectors in Show work…

A: It is given that the matrix A represents a linear transformation T:ℝ3→ℝ2 where the row reduced…

Q: Hw I show that' O div (fog) =Pa'g + oP.ug e cur (f) = 0 where

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Q: (1+21)* (4– 31)* (3+ 4i)" (2– j)" 3. Given z = f ind the argument of z. a) –2.035 b) 2.035 c) 2.214…

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Q: 3) The roots of HX-3X+2 =o are dand B.Snd the eqution whose nots are Land +P Mew

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Q: 22=xy represents the origin. ) Prove that the equation with vertex at

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Q: 4)Evaluate tay-ydady Where Sis a Lringle with Veetui (0,0),10,1-(0,D.

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Q: dr is divergent a true b) false

A: We have to calculate  ∫1∞1x2 dx.

Q: Hx.y)=Vtanlx)+y and u is the wit etor in the direction find U IS 6)DE(-04,7) - a.d,7)=Dy F(-a.l,7)=…

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Q: Q3) a) 42? Use Mean value theorem to show that for all a E (0, , 4 tan z 2

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Q: dentify the theorem/ pastulate that proves that the Hriangles are, dimilar 9. AAS 6. CAS

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