Semi-log + Double Log Graphs: "The resistance R of blood flow through a blood vessel is..."

[RawalJ]

 

[stapel]

5. The resistance $R$ of the flow of blood through a blood vessel (assumed to have the shape of a cylindrical tube) is given by:

$\qquad R = \dfrac{Kl(\gamma + 1)^2}{d^4}$

...where $l$ is the length of the vessel, $d$ is its diameter, and $\gamma \geq 0$ is its curvature. The positive constant $K$ represents the viscosity of the blood. In this exercise, we view $R$ as a function of $d$.

(a) Sketch the semilog graph of $R$ (use ln). Label the axes and identify a reasonable domain for $d$.

(b) Sketch the double-log graph of $R$ (use ln). Label the axes and identify a reasonable domain for $d$.

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Please reply with a clear listing of your thoughts and efforts so far, so that we can begin to work with you.

Thank you!

 

[khansaheb]

View attachment 36545

Have you finished the previous problem that you had posted in:

Double Log Graphs: explain the step by step process of making a semi log vs a double log and when do we use each one

Could someone please explain the step by step process of making a semi log vs a double log and when do we use each one. I remember things like the semilog graph of a certain type of function will be linear and the double log of certain types of functions will be linear? What are those functions...

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Tell us what you learned from the previous post.

The problem in this post require your knowledge from the previous post.