b) Let X = Cle,e+ 2] and define T:C[e,e+2] → R by re+2 T(z) = | 1(t)dt, r€ Cle,e+2] Show that T is linear and bounded. Describe Null(T) and Range(T)

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A: fx,y,z=z2x+y3 P1,1,2v→=15i+25j We know directional derivative Dv→fP=∇fP.v→v→

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Given,

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: A. Show that f(x, y) = (x-1)(y-2) (x-1)²+(y-2)² 7 (x, y) = (1,2) (x, y) = (1,2) at (1,2). 1 is…

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A: The fundamental theorem of Calculus says: If F(x)=∫0xf(t) dt...(1) then  F'(x)=dFdx=ddx∫0xf(t)…

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A: To explain why the given function is entire, given function is: fz=5z4−6+zcosz−z3ez

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A: Given,          r't= 3t2 , 4t3 , 2t  , r1=-2,-5,-9

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