If gas in a cylinder is maintained at a constant temperature T, the pressure P is related to the volume V by a formula of the form: nRT an P V – nb in which a, b, n, and R are constants (see accompanying figure.) a) Identify the dependent and independent variables. b) Evaluate P(Vo). where Vo is any value within the domain of P. | c) Obtain the domain of the function P.

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If gas in a cylinder is maintained at a constant temperature T, the pressure P is related to the
volume V by a formula of the form:
nRT
an
P
V – nb
V2
in which a, b, n, and R are constants (see accompanying figure.)
a) Identify the dependent and independent variables.
b) Evaluate P(Vo). where Vo is any value within the domain of P.
c) Obtain the domain of the function P.
Transcribed Image Text:If gas in a cylinder is maintained at a constant temperature T, the pressure P is related to the volume V by a formula of the form: nRT an P V – nb V2 in which a, b, n, and R are constants (see accompanying figure.) a) Identify the dependent and independent variables. b) Evaluate P(Vo). where Vo is any value within the domain of P. c) Obtain the domain of the function P.
One of the formulas for inventory management says that the average weekly cost of ordering,
paying for, and holding merchandise is:
km
A(q)
hq
+ ст +
2
where q is the quantity you order when things run low (shoes, TVs, brooms, or whatever the
item might be); k is the cost of placing an order (the same, no matter how often you order); c
is the cost of one item (a constant); m is the number of items sold each week (a constant); and
h is the weekly holding cost per item (a constant that takes into account things such as space,
utilities, insurance, and security).
a) Identify the dependent and independent variables.
b) Evaluate A(x), where x is any value within the domain of A.
c) Obtain the domain of the function A.
Transcribed Image Text:One of the formulas for inventory management says that the average weekly cost of ordering, paying for, and holding merchandise is: km A(q) hq + ст + 2 where q is the quantity you order when things run low (shoes, TVs, brooms, or whatever the item might be); k is the cost of placing an order (the same, no matter how often you order); c is the cost of one item (a constant); m is the number of items sold each week (a constant); and h is the weekly holding cost per item (a constant that takes into account things such as space, utilities, insurance, and security). a) Identify the dependent and independent variables. b) Evaluate A(x), where x is any value within the domain of A. c) Obtain the domain of the function A.
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