Answer:
Option C)
[tex]r=F(P_2-P_1)[/tex]
Step-by-step explanation:
We are given the following information in the question:
The formula for blood flow rate is given by:
[tex]F = \displaystyle\frac{P_1-P_2}{r}[/tex]
where [tex]P_1[/tex] the initial pressure, [tex]P_2[/tex] the final pressure, and r the resistance created by blood vessel size.
We have to find a similar formula that can be derived from the given formula:
[tex]F = \displaystyle\frac{P_1-P_2}{r}\\\\Fr = P_1 - P_2\\\text{Rearranging terms}\\P_1 = Fr + P_2\\P_2 = P_1 - Fr\\\\r = \frac{P_1-P_2}{F}[/tex]
Thus, Option C) is the only formula that cannot be derived from he given expression.
The only formula that can be derived from [tex]\mathbf{F = \frac{P_1 - P_2}{r}}[/tex] is (a) [tex]\mathbf{P_1 = Fr+ P_2}[/tex]
The formula is given as:
[tex]\mathbf{F = \frac{P_1 - P_2}{r}}[/tex]
Multiply through by r
[tex]\mathbf{Fr =P_1 - P_2}[/tex]
Make P1 the subject
[tex]\mathbf{P_1 = Fr+ P_2}[/tex] --- this represents option (a)
Make P2 the subject
[tex]\mathbf{P_2 = P_1 -Fr}[/tex]
Make r the subject
[tex]\mathbf{r = \frac{P_1 - P_2}{F}}[/tex]
Hence, the only formula that can be derived from [tex]\mathbf{F = \frac{P_1 - P_2}{r}}[/tex] is (a) [tex]\mathbf{P_1 = Fr+ P_2}[/tex]
The other three formulas are not properly formatted.
Read more about subjects of formulas at:
https://brainly.com/question/21866313
