nt) Let the body's reaction to a drug be measured by R(d) = ² (-). C is the maximum amount of drug given, d is the dosage and R(d) is the body's reaction. Let S(d) be the sensitivity to the drug, measured by the derivative, R' (d). Find S(d): Find the dosage for which there is maximum sensitivity to the drug. Use c = 2. Maximum sensitivity occurs when d =
nt) Let the body's reaction to a drug be measured by R(d) = ² (-). C is the maximum amount of drug given, d is the dosage and R(d) is the body's reaction. Let S(d) be the sensitivity to the drug, measured by the derivative, R' (d). Find S(d): Find the dosage for which there is maximum sensitivity to the drug. Use c = 2. Maximum sensitivity occurs when d =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let the body's reaction to a drug be measured by \( R(d) = d^2 \left( \frac{c}{2} - \frac{d}{3} \right) \).
- \( c \) is the maximum amount of drug given,
- \( d \) is the dosage,
- \( R(d) \) is the body's reaction.
Let \( S(d) \) be the sensitivity to the drug, measured by the derivative, \( R'(d) \).
Find \( S(d) \): \_\_\_\_\_\_\_\_\_\_\_
Find the dosage for which there is maximum sensitivity to the drug. Use \( c = 2 \).
Maximum sensitivity occurs when \( d = \_\_\_\_\_\_\_\_\_\_\_ \)
![An individual with a certain disease is given an amount \( x \) of a drug, \( x > 0 \). The probability of her being cured is given by
\[ P(x) = \frac{\sqrt{x}}{5(1+x^2)}. \]
1. Enter the derivative, \( P'(x) = \) [ ]
2. Enter the critical number: \( x = \) [ ]
3. If \( x \) is less than the critical number, is the function increasing or decreasing? [ ]
4. If \( x \) is larger than the critical number, is the function increasing or decreasing? [ ]
5. Find the value of \( x \) that maximizes the chances of a cure.
\( x = \) [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58cffe43-d701-4c21-9740-08fe8d98ee79%2Fc59ae361-2841-4869-8b72-b04bec37f99a%2Fd8x1l9p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An individual with a certain disease is given an amount \( x \) of a drug, \( x > 0 \). The probability of her being cured is given by
\[ P(x) = \frac{\sqrt{x}}{5(1+x^2)}. \]
1. Enter the derivative, \( P'(x) = \) [ ]
2. Enter the critical number: \( x = \) [ ]
3. If \( x \) is less than the critical number, is the function increasing or decreasing? [ ]
4. If \( x \) is larger than the critical number, is the function increasing or decreasing? [ ]
5. Find the value of \( x \) that maximizes the chances of a cure.
\( x = \) [ ]
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