Explanation 1) Concept: Use f ( t ) function to find when infectiousness begins. 2) Given: The pathogenesis curve in example 5 is modeled by f t = - t ( t - 21 ) ( t + 1 ) . The infectiousness begins on day t 1 = 10 and endson t 2 = 18 . 3) Calculation: f t = - t t - 21 t + 1 f 10 = - 10 10 - 21 10 + 1 = 1210 Thus, infectiousness concentration is 1210 c e l l s / m L . g t = 0 To determine b) To find: On what day does infectiousness end? To determine c) To find: Level of infectiousness for the patient

8th Edition

ISBN: 9781285740621

Author: James Stewart

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 5.1, Problem 51E

To determine

a)

To find:

On what day does infectiousness begin?

To determine

b)

To find:

On what day does infectiousness end?

To determine

c)

To find:

Level of infectiousness for the patient

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.1, Problem 50E

Chapter 5.1, Problem 52E

Students have asked these similar questions

5. A group of doctors are conducting a clinical trial for an experimental cancer drug. The graph below shows the probability of patient survival as a function of time, t (in months). The functions for Streated (survival probability of patients treated by the drug) and Splacebo (survival probability of patients given a placebo) are determined to be: Streated(t) = e-() and Splacebo (t) = e #. Use the given function (a) Splacebo (t) = e-i to calculate the average survival probability of the placebo group for the first 10 months of the study. Round to 2 decimal places. Ste 0. -0.6 -0:4 -02 10 20 (b) The efficacy of the drug at any time 7 >0 can be defined as E(7) = (Streated(t) – Splacebo (t)) dt. Note: This can be thought of as representing a difference of areas. Use a Riemann sum with 5 sub-intervals of equal width to approximate E(10). Use right endpoints. Round your final answer to 2 decimal places. (c) the first 7 months). Is the drug beneficial at 10 months? (A short one-sentence…

5. A group of doctors are conducting a clinical trial for an experimental cancer drug. The graph below shows the probability of patient survival as a function of time, t (in months). The functions for Streated (survival probability of patients treated by the drug) and Splacebo (survival probability of patients given a placebo) are determined to be: Streated(t) = e-(15)" and Splacebo (t) = e 15t 144. (a) "Ise the given function 15t Ppiacevo \" e-144 to calculate %3D Spreated the average survival probability of the placebo group for the first 10 months of the study. Round to 2 decimal places. 5-0:8 -0:6 Splacebo -0:4 0:2 10 20 (b) The efficacy of the drug at any timer > 0 can be defined as E(T) = | (Streated(t) – Splacebo (t)) dt. Note: This can be thought of as representing a difference of areas. Use a Riemann sum with 5 sub-intervals of equal width to approximate E(10). Use right endpoints. Round your final answer to 2 decimal places. (c) the first T months). Is the drug beneficial at…

B. A family on a University campus has a 150-gallon tank that is filled at the beginning of each week. The weekly demand of the family shows a relative frequency behaviour that increases steadily up to 100 gallons and then levels off between 100 and 150 gallons. If X denotes weekly demand in hundreds of gallons, the relative frequency of demand can be modelled by 0sxs1) (x, f(x) = }1, 1

Chapter 5 Solutions

Calculus (MindTap Course List)

Ch. 5.1 - Find the area of the shaded region.Ch. 5.1 - Find the area of the shaded region.Ch. 5.1 - Prob. 3E Ch. 5.1 - Find the area of the shaded region.Ch. 5.1 - Sketch the region enclosed by the given curves....Ch. 5.1 - Sketch the region enclosed by the given curves....Ch. 5.1 - Sketch the region enclosed by the given curves....Ch. 5.1 - Sketch the region enclosed by the given curves....Ch. 5.1 - Sketch the region enclosed by the given curves....Ch. 5.1 - Prob. 10E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

a) To find: On what day does infectiousness begin?

Videos

a) To find: On what day does infectiousness begin?

b) To find: On what day does infectiousness end?

c) To find: Level of infectiousness for the patient

Want to see the full answer?

Chapter 5 Solutions

a)

To find:

On what day does infectiousness begin?

b)

To find:

On what day does infectiousness end?

c)

To find:

Level of infectiousness for the patient