E A) If f(X):[2019,2020] →R is continuous and 2020 f = ] f , 2019 XE[2019, 2020]. Show that : f(X)= 0, VXE[2019, 2020]. B) If f (x ) e Rus1 and ceR. We define g(x)on [a+c,b +c] by g(y):=f (y -c).show that ge sebvel and that [f = [ g %3D

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A: By using the definition of continuous function this above statement can be easily proved.

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A: False

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A: To Prove: g(x,y) is continuous at (0,0)

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A: Above first question is solved. Solving more than one question is against the policy of bartleby.

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A: a) By divergence theorem, ∬SA. ndA=∫∫∫V∇.A dV Now,  ∇.A=∂7x∂x+∂0∂y+∂-z∂z=7-1=6 By changing to…

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