Semi-log + Double Log Graphs: "The resistance R of blood flow through a blood vessel is..."
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5. The resistance [imath]R[/imath] of the flow of blood through a blood vessel (assumed to have the shape of a cylindrical tube) is given by:
[imath]\qquad R = \dfrac{Kl(\gamma + 1)^2}{d^4}[/imath]
...where [imath]l[/imath] is the length of the vessel, [imath]d[/imath] is its diameter, and [imath]\gamma \geq 0[/imath] is its curvature. The positive constant [imath]K[/imath] represents the viscosity of the blood. In this exercise, we view [imath]R[/imath] as a function of [imath]d[/imath].
(a) Sketch the semilog graph of [imath]R[/imath] (use ln). Label the axes and identify a reasonable domain for [imath]d[/imath].
(b) Sketch the double-log graph of [imath]R[/imath] (use ln). Label the axes and identify a reasonable domain for [imath]d[/imath].
Please reply with a clear listing of your thoughts and efforts so far, so that we can begin to work with you.
Thank you!
[imath]\qquad R = \dfrac{Kl(\gamma + 1)^2}{d^4}[/imath]
...where [imath]l[/imath] is the length of the vessel, [imath]d[/imath] is its diameter, and [imath]\gamma \geq 0[/imath] is its curvature. The positive constant [imath]K[/imath] represents the viscosity of the blood. In this exercise, we view [imath]R[/imath] as a function of [imath]d[/imath].
(a) Sketch the semilog graph of [imath]R[/imath] (use ln). Label the axes and identify a reasonable domain for [imath]d[/imath].
(b) Sketch the double-log graph of [imath]R[/imath] (use ln). Label the axes and identify a reasonable domain for [imath]d[/imath].
Please reply with a clear listing of your thoughts and efforts so far, so that we can begin to work with you.
Thank you!
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.