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julia-pushkina [17]
3 years ago
9

If you know that​ R' (20)=50 and​ R''(20)=-4, approximate​ R'(24)

Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Approximate <em>R'</em> by using a linear approximation: for <em>x</em> close enough to 24, you have

<em>R'(x)</em> ≈ <em>L(x)</em> = <em>R' </em>(20) + <em>R''</em> (20) (<em>x</em> - 20)

Then

<em>R'</em> (24) ≈ <em>R'</em> (20) + <em>R''</em> (20) (24 - 20) = -4 + 50 (24 - 20) = 196

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