Question Solved1 Answer Use a local linear approximation to estimate (1.97)3.

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Transcribed Image Text: Use a local linear approximation to estimate (1.97)3.
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Transcribed Image Text: Use a local linear approximation to estimate (1.97)3.
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(1.97)^(3)longrightarrow Let function f(x)=x^(3)quad t centered at x=2rarr The linear approximation of f(x) at x=a is{:[L(x)=f^(')(a)(x-a)+f(a)],[=>f^(')(x)=(d)/(dx)(x^(3))=3x^(3-1)=3x^(2)quadquad(d)/(dx)x^(n)=n*x^(n-0)]:}Al x=2:-{:[f(2)=2^(3)=8],[ ... See the full answer