i=1 let fi [a, b] →> IR and a) Suppose of and g Prove that fog b) Suppose I and we is g до continuous. [c, d] → integralble are тороне → [9,5). m [c, d]. ▸ c [cd].

Q: 5) Rove that the Vraltora gperotor V aching on. is compoct

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Q: Define fi z-> 2 xZ by Ala)l (2,72t1) if xis even 18,0) if t is odd a) Is f injective 2? b) Is f…

A: We have f:Z→z×z Such that fx=x,x+1     if x is evenx,0          if x is odd

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Q: Exercise What is the integral closure of ZZ in Q[FI]

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A: Since you have posted multiple questions and we can answer one question. So answer provided for…

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Q: Con sider X={,2, --., 106? togcther with the largest 8-algebra p(X). capower set of x). Define 1 if…

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Q: Prove that (A O B)/(A Ð {e})~B.

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A: f=a,b : a,b∈Rg:f→M2×2 defined asga,b=ab00 , ∀a,b∈F

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Q: 6.1 let T be a l'iner transformatio from Mga into M,a Sub that %3D

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Q: Evaluate Sff8e(2²+y²+z²)³/² dV over B where B = {(x, y, z) : x² + y² + z² ≤ 1}. Take π = 3. Türkçe:…

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Q: t BLX,X) denoted set f al incod bounded operates an defined on ow hat fex every TE BLXX) for Hhe…

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Q: Let T: R → R' such that T (x, y, z) = (a²z + 4az, y, 36z + az). What is a value of a so that T is…

A: For Surjection of T, Dim{Range(T)} = Dim{Co-domain}

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Q: Q) Let Tright on R ? {(a, o0) : a € R}U {¢, R} . Prove that Tright is toplogy

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

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Q: 1) э бирорце f a ad да ore integralbl on [a,b]. Show that of -g is also integralible салоз.

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Q: Evaluate the im proper integral dx 3 (5-2)

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Q: (-1)" 10. n A) 0 В) -1 C) 1 D) 2 E) Divergent

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Q: . d the しいwits UI- Vタ+1 ユ ーリー! Cスリ る) しm 5) (Z,y)>(,) Cos Tzyl-a C)にm 反- vy Ca,y)Co)

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Q: let f [o2]→Rbe afunction if x<1 fex)= Is f Riemaninteglable? 下くx か

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