Question

3. The amount of lubricant "L" that an automotive garage uses each week is a function of the number of automobiles "A" that are serviced each week. Also "L" in turn is a function of the population "P" of the area served by this garage. Finally, "P" is a function of time "t." Write the derivative symbols for the following quantities. Choose from the following: $\frac{dP}{dt}$ $\frac{dL}{dA}$ $\frac{dP}{dA}$ $\frac{dL}{dP}$ $\frac{dA}{dt}$ $\frac{dL}{dt}$ $\frac{dA}{dL}$ $\frac{dA}{dP}$ a. Population growth rate b. Rate of change of lubricant usage with respect to the population size c. Rate of change of autos serviced with respect to the population size d. Rate of change of lubricant usage with respect to the number of vehicles serviced e. Growth rate of vehicles serviced

          3. The amount of lubricant "L" that an automotive garage uses each week is a function of
the number of automobiles "A" that are serviced each week. Also "L" in turn is a
function of the population "P" of the area served by this garage. Finally, "P" is a
function of time "t."
Write the derivative symbols for the following quantities. Choose from the following:
$\frac{dP}{dt}$ $\frac{dL}{dA}$ $\frac{dP}{dA}$ $\frac{dL}{dP}$ $\frac{dA}{dt}$ $\frac{dL}{dt}$ $\frac{dA}{dL}$ $\frac{dA}{dP}$
a. Population growth rate
b. Rate of change of lubricant usage with respect to the population size
c. Rate of change of autos serviced with respect to the population size
d. Rate of change of lubricant usage with respect to the number of vehicles serviced
e. Growth rate of vehicles serviced

3. The amount of lubricant "L" that an automotive garage uses each week is a function of
the number of automobiles "A" that are serviced each week. Also "L" in turn is a
function of the population "P" of the area served by this garage. Finally, "P" is a
function of time "t."
Write the derivative symbols for the following quantities. Choose from the following:
(dP)/(dt) (dL)/(dA) (dP)/(dA) (dL)/(dP) (dA)/(dt) (dL)/(dt) (dA)/(dL) (dA)/(dP)
a. Population growth rate
b. Rate of change of lubricant usage with respect to the population size
c. Rate of change of autos serviced with respect to the population size
d. Rate of change of lubricant usage with respect to the number of vehicles serviced
e. Growth rate of vehicles serviced

Added by Melissa S.

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