Answer:
≈0.3875.
Explanation:
1) the rule:
f(x₀+Δx)≈f(x₀)+d[f(x₀)]=f(x₀)+f'(x₀)*Δx;
2) f(x)=sqrt(x) and x₀=0.16, then
f(x₀)=0.4; f'(x₀)=1/(2sqrt(x₀))=1/0.8=1.25;
Δx=0.15-0.16=-0.01;
3) finally,
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