**Body Mass Index (BMI) Calculation**The body mass index (BMI) for an adult is determined using the formula:\[ B = \frac{w}{h^2} \]Where:- $ B $ is the BMI,- $ w $ is the weight (actually mass) in kilograms,- $ h $ is the height in meters.### Questions1. **What is the BMI for a person who is 1.8 meters tall and weighs 80 kilograms?**2. **Calculate the partial derivatives $\frac{\partial B}{\partial w}$ and $\frac{\partial B}{\partial h}$.**### ExplanationTo calculate the BMI:- For a person with a height of 1.8 meters and a weight of 80 kilograms, substitute these values into the BMI formula.To calculate the partial derivatives:- Determine how the BMI changes with respect to weight ($w$) and height ($h$).

Name: **Body Mass Index (BMI) Calculation**The body mass index (BMI) for an
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Description: **Body Mass Index (BMI) Calculation**The body mass index (BMI) for an adult is determined using the formula:\[ B = \frac{w}{h^2} \]Where:- $ B $ is the BMI,- $ w $ is the weight (actually mass) in kilograms,- $ h $ is the height in meters.###

Given that, The body mass index for an adult is given by the function B=wh2, where w is the weight…

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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**Body Mass Index (BMI) Calculation**

The body mass index (BMI) for an adult is determined using the formula:

\[ B = \frac{w}{h^2} \]

Where:
- $ B $ is the BMI,
- $ w $ is the weight (actually mass) in kilograms,
- $ h $ is the height in meters.

### Questions

1. **What is the BMI for a person who is 1.8 meters tall and weighs 80 kilograms?**

2. **Calculate the partial derivatives $\frac{\partial B}{\partial w}$ and $\frac{\partial B}{\partial h}$.**

### Explanation

To calculate the BMI:
- For a person with a height of 1.8 meters and a weight of 80 kilograms, substitute these values into the BMI formula.

To calculate the partial derivatives:
- Determine how the BMI changes with respect to weight ($w$) and height ($h$).

Expert Solution

Step 1

Given that,

The body mass index for an adult is given by the function $B = \frac{w}{h^{2}}$ , where w is the weight in kilograms and h is the height in meters.

Given that,

Person 1.8 meters tall, so heigh is 1.8 meters.

height of a person is 1.8 meters and weight is 80 kilograms.

By using the formula of BMI,

$B = \frac{w}{h^{2}} = \frac{80}{1.8} = 44.4444$

Thus, the BMI for a person is 44.4444 kg /m²

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