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Title: Approximate calculations using total differential
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Approximate calculations using total differential
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Approximate calculations using total differential
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It was found that at small
increments of the arguments,
the total increment of the
function is approximately
equal to its total differential
z dz
...
From here we get the equality
used in approximate
calculations:
f (x x; y y) f (x; y) dz
...
Using the concept of total
differential, calculate
approximately
3 , 01
1,02
...
(for comparison: a
calculator with an
accuracy of 7 significant
digits gives
1,061418)
2
...
Answer:
z dz 0,035
Title: Approximate calculations using total differential
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Approximate calculations using total differential
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Approximate calculations using total differential