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Mathematics
Problem
Measured values of a differentiable function
h
h
h
(each accurate within
±
0.03
\pm0.03
±
0.03
) are
h
(
1.45
)
=
6.12
h(1.45)=6.12
h
(
1.45
)
=
6.12
and
h
(
1.55
)
=
6.48
h(1.55)=6.48
h
(
1.55
)
=
6.48
. (a) Estimate
h
′
(
1.5
)
h'(1.5)
h
′
(
1.5
)
. (b) Give an error bound for your estimate that accounts for the measurement uncertainty.
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