For the following exercises, sketch the situation if necessary and used related rates to solve for the quantities. 4. [T] If two electrical resistors are connected in parallel, the total resistance (measured in ohms, denoted by the Greek capital letter omega, Q) is given by the equation 1 R = 1 R 1 + 1 R 2 . If R 1 is increasing at a rate of 0.5 Ω / min and R 2 decreases at a rate of 1.1 Ω / min , at what rate does the total resistance change when R 1 = 20 Ω and R 2 = 50 Ω / min ?
For the following exercises, sketch the situation if necessary and used related rates to solve for the quantities. 4. [T] If two electrical resistors are connected in parallel, the total resistance (measured in ohms, denoted by the Greek capital letter omega, Q) is given by the equation 1 R = 1 R 1 + 1 R 2 . If R 1 is increasing at a rate of 0.5 Ω / min and R 2 decreases at a rate of 1.1 Ω / min , at what rate does the total resistance change when R 1 = 20 Ω and R 2 = 50 Ω / min ?
For the following exercises, sketch the situation if necessary and used related rates to solve for the quantities.
4. [T] If two electrical resistors are connected in parallel, the total resistance (measured in ohms, denoted by the Greek capital letter omega, Q) is given by the equation
1
R
=
1
R
1
+
1
R
2
. If
R
1
is increasing at a rate of
0.5
Ω
/
min
and
R
2
decreases at a rate of
1.1
Ω
/
min
, at what rate does the total resistance change when
R
1
=
20
Ω
and
R
2
=
50
Ω
/
min
?
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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