Find the Taylor polynomial of order 3 generated by f at a. f(x) = x2, a = 2 O A. P3(x) = 1 + 8(x – 2) + 24(x– 2)2 + 64(x – 2)3 O B. P3(x) = 4 + 4(x – 2) + 6(x – 2)² + 8(x – 2)3 O c. P3(x) = 4 + 4(x- 2) + (x – 2)² O D. P3(x) = 1 + 4(x – 2) + 6(x – 2)² + 8(x – 2)3

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = x2 +x+1, a=2 O A. P3(x) =7+5(x- 2)…

A: f(x)=x2+x+1f(2)=4+2+1 =7f'(x)=2x+1f'(2)=4+1 =5f''(x)=2f''(2)=2f'''(2)=0

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x2, a = 10 O A. P3(x) = 100 + 20(x…

A: To find the Taylor polynomial of order 3 generated by f at a. f(x)=x2 , a=10 Taylor polynomial of…

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A: Let's find.

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A: We use Taylor's formula

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A: Option A is correct .

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A: Please find the answer below

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