By K. D. Stroyan
Calculus utilizing Mathematica
Read or Download Calculus Using Mathematica. Scientific Projects and Mathematical Background PDF
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Extra info for Calculus Using Mathematica. Scientific Projects and Mathematical Background
You should read the introductions to those projects for background ideas, but not worry about the mathematical details of those projects. They show the following: P R O J E C T 22 SHOWS that for drugs that satisfying the "linear two compartment model," the concentrations in blood and tissue respectively after a single intravenous injection are modeled by a linear combination of two exponential functions: Cß[t] = 6i e - h l t + &2e- f c a t cT[t] = -b3e-hit + b3e-h*t The positive constants &i, 62, 63, hi, and h2 may be computed from physical parameters of the patient.
Then the base of the ladder slid out... How fast was he going when he hit the ground? In the section on linked variables, or related rates, in Chapter 7 of the core text, we discussed what happens as a ladder slides down a wall. That model is over simplified in a way that we want you to discover. 1: Ladder & Wall The simple-minded model suggests that dad will strike the ground at warp 9, well above the speed of light. This is nonsense. He certainly can not exceed the speed of light and it seems highly dubious that he would even approach the speed of sound.
How? Which is the best fit to the initial drop in concentration, the fit to 4, 5, 6 or 7 points? 11: ψ£\ + ^ j g ? £ k Data We could stop the project here since we have measured the constants in the symbolic solution of the blood concentration. However, it would be nice to connect our measured values of &ι, b2, Λι, and h2 with the physical parameters fci, VB, VT, k$ and c/, the initial concentration. 12. The initial dose of Warfarin that produced the patient response of our data was the amount aj = 100 mg.
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