Consider e - for all x E R. n! n=0 Σ -5x a. Determine the power series representation of f(x) Then, by first differentiating this power series, determine the exact value of — хе for all x E R. n+1 (-1)“**(2n+1) Σ n! n=0 b. Find f(23) (0). No need to simplify the answer.

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A: f(x,y,z)=3x3+cos(2y)+ln(2z)-c=0Fx=9x2 , Fy=-sin(2y) , Fz=12z×2=1z∇F =&lt;Fx,Fy,Fz &gt;=&lt;9x2,…

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