Find the degree [K : F] of the following field extensions: K = Q(V2) and F = Q; O K = Q(V2) and F = Q(v2); ) K = R(V2) and F = R; %3D |3| %3D

Q: The linearization at a=0 to √2+5x is A+Bx. Compute A and B

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Q: (c) For any (a, y) E R?, let F(x, y) = (4x - 3y + 1, 3x +4y + 1). Then F is a similarity.

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Q: Let f(æ1, x2, X3)=(x1³ + x2, x1? + x3). Find df(1,2,3) (-3, –2, –1)

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Q: (a) Find the domain of V4 – 3w R(w) = w + 2

A: Please complete your question b part its incomplete. What is l ? Here I'm doing (a) part only.

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Q: If Sc F · dr = Sc(x + 4y?) dæ + (x²y) dy, what is F?

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Q: Find f, and f, for f(x,y)=y In (2x+7y).

A: F(x,y) = y ln(2x + 7y) To find : fx and fy

Q: 3. Determine whether each of the following functions is a bijection and explain why. (a) f: R R,…

A: Note:As our company  guidelines we are supposed to answer only first 3 sub-parts. kindly re-post…

Q: het f be a bounded real-valued funtim on TR" Define (Mst)(a) = Aup {tla): Ix-al <8$ %3D (mg t)(a) -…

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Q: The maximum error for F=yx2+y+y2 are |(2xy)Ax| +|(2y+1 + x²)Ayl |(2x + y)Ax| + |(2y + x)Ayl x|Ax|…

A: Given function is, F=yx2+y+y2