The total resistance R of three resistances R 1 , R 2 , and R 3 , connected in parallel, is given by 1 R = 1 R 1 + 1 R 2 + 1 R 3 Suppose that R 1 , R 2 , and R 3 are measured to be 100 ohms, 200 ohms, and 500 ohms, respectively, with a maximum error of 10 % in each. Use differentials to approximate the maximum percentage error in the calculated value of R .
The total resistance R of three resistances R 1 , R 2 , and R 3 , connected in parallel, is given by 1 R = 1 R 1 + 1 R 2 + 1 R 3 Suppose that R 1 , R 2 , and R 3 are measured to be 100 ohms, 200 ohms, and 500 ohms, respectively, with a maximum error of 10 % in each. Use differentials to approximate the maximum percentage error in the calculated value of R .
The total resistance R of three resistances
R
1
,
R
2
,
and
R
3
,
connected in parallel, is given by
1
R
=
1
R
1
+
1
R
2
+
1
R
3
Suppose that
R
1
,
R
2
,
and
R
3
are measured to be 100 ohms, 200 ohms, and 500 ohms, respectively, with a maximum error of
10
%
in each. Use differentials to approximate the maximum percentage error in the calculated value of R.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Thomas' Calculus: Early Transcendentals (14th Edition)
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