# A patient recovering from surgery is being given fluid intravenously. The fluid has a density of #1030# #kg##/##m^3# and #9.5 * 10^-4##m^3# of it flows into the patient every six hours. What is the mass flow rate in #kg##/##s#?

The mass flow rate is

First, let's compute the mass flow.

To convert the volume to mass, we can apply the density as a conversion factor.

Afterwards, change the time to seconds.

We can now compute the mass flow rate.

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To calculate the mass flow rate, use the formula:

[ \text{Mass flow rate} = \text{Density} \times \text{Volume flow rate} ]

Given: Density (( \rho )) = 1030 kg/m³ Volume flow rate (( \dot{V} )) = 9.5 * 10^-4 m³ every six hours

Substitute the given values into the formula and convert the time to seconds:

[ \text{Volume flow rate} = \frac{9.5 \times 10^{-4} , \text{m}^3}{6 \times 60 \times 60 , \text{s}} ]

[ \text{Mass flow rate} = 1030 , \text{kg/m}^3 \times \left( \frac{9.5 \times 10^{-4}}{6 \times 60 \times 60} \right) , \text{m}^3/\text{s} ]

Calculate the mass flow rate.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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