questions 4-6 (4. What is the body surface area of a patient who is 68 inches tall and weighs 161 pounds? Show your work.5. The body surface area of a patient who is 68 inches tall is found to be approximately 1.98 square meters. What is the approximate weight of the patient? Show your work.6. A doctor prescribes an amount of 15 mg/m² to a patient who weighs 201 pounds and is 68 inches tall. What will the dosage of the medicine be, in mg? Show your work. Unit ActivityRadical FunctionsRadical Functions:The Correct DoseDoctors sometimes need to calculate the body surface area of their patient when they are determin-ing the specific dosage of a medicine they are administering. The formula for body surface area isB=√3131 where B is the body surface area in square meters, H is the height of the patient in inches,and W is the weight of the patient in pounds.1. If the height of a patient is 68 inches, write a function B(W) that represents the body surface areaof patients of that height.2. Use technology to sketch a graph of the function B(W).AYBody Surface Area(square meters)3NOF40 80 120 160 200 240 280 320 360Weight (pounds)3. Interpret the domain, range, and increase/decrease of the graph in terms of the problem situation.4. What is the body surface area of a patient who is 68 inches tall and weighs 161 pounds? Showyour work.5. The body surface area of a patient who is 68 inches tall is found to be approximately 1.98 squaremeters. What is the approximate weight of the patient? Show your work.6. A doctor prescribes an amount of 15 mg/m² to a patient who weighs 201pounds and is 68 inches tall. What will the dosage of the medicine be, in mg? Show your work.

Body surface area function is given by B=H·W3131 where H is the height and W is the weight

(4. What is the body surface area of a patient who is 68 inches tall and weighs 161 pounds? Show your work. 5. The body surface area of a patient who is 68 inches tall is found to be approximately 1.98 square meters. What is the approximate weight of the patient? Show your work. 6. A doctor prescribes an amount of 15 mg/m² to a patient who weighs 201 pounds and is 68 inches tall. What will the dosage of the medicine be, in mg? Show your work.

(4. What is the body surface area of a patient who is 68 inches tall and weighs 161 pounds? Show your work. 5. The body surface area of a patient who is 68 inches tall is found to be approximately 1.98 square meters. What is the approximate weight of the patient? Show your work. 6. A doctor prescribes an amount of 15 mg/m² to a patient who weighs 201 pounds and is 68 inches tall. What will the dosage of the medicine be, in mg? Show your work.

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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Question

questions 4-6 (4. What is the body surface area of a patient who is 68 inches tall and weighs 161 pounds? Show your work.

5. The body surface area of a patient who is 68 inches tall is found to be approximately 1.98 square meters. What is the approximate weight of the patient? Show your work.

6. A doctor prescribes an amount of 15 mg/m² to a patient who weighs 201 pounds and is 68 inches tall. What will the dosage of the medicine be, in mg? Show your work.

Unit Activity
Radical Functions
Radical Functions:
The Correct Dose
Doctors sometimes need to calculate the body surface area of their patient when they are determin-
ing the specific dosage of a medicine they are administering. The formula for body surface area is
B=√3131 where B is the body surface area in square meters, H is the height of the patient in inches,
and W is the weight of the patient in pounds.
1. If the height of a patient is 68 inches, write a function B(W) that represents the body surface area
of patients of that height.
2. Use technology to sketch a graph of the function B(W).
AY
Body Surface Area
(square meters)
3
N
OF
40 80 120 160 200 240 280 320 360
Weight (pounds)
3. Interpret the domain, range, and increase/decrease of the graph in terms of the problem situation.
4. What is the body surface area of a patient who is 68 inches tall and weighs 161 pounds? Show
your work.
5. The body surface area of a patient who is 68 inches tall is found to be approximately 1.98 square
meters. What is the approximate weight of the patient? Show your work.
6. A doctor prescribes an amount of 15 mg/m² to a patient who weighs 201
pounds and is 68 inches tall. What will the dosage of the medicine be, in mg? Show your work.

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