Find a 3rd degree Taylor's polynomial that will approximate the solution to:   y' = x2 + y;  y(1)=1.   a) y=1+2x+3/2 x2+ x3   b) y=1+1/2x+3/2 x2 + 1/6 x3  c) y=1+2(x-1)+3/2 (x-1)2 + 1/2 (x-1)3  d) y=1+2(x-1)+2 (x-1)2 + (x-1)3   Find y(3) a) 21        b)  22      c) 23      d) 24

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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20.) Find a 3rd degree Taylor's polynomial that will approximate the solution to:   y' = x2 + y;  y(1)=1.

 

a) y=1+2x+3/2 x2+ x3  

b) y=1+1/2x+3/2 x2 + 1/6 x3 

c) y=1+2(x-1)+3/2 (x-1)2 + 1/2 (x-1)3 

d) y=1+2(x-1)+2 (x-1)2 + (x-1)3

 

Find y(3)

a) 21       

b)  22     

c) 23     

d) 24

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