Difference between revisions of "009A Sample Midterm 2, Problem 4"
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| − | <span class="exam"> | + | <span class="exam"> To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared) using the formula: |
| − | ::<span class="exam"> | + | ::<span class="exam"><math>\text{BSA}=\frac{\sqrt{hm}}{60}</math> |
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| + | <span class="exam">where <math style="vertical-align: 0px">h</math> is the height in centimeters and <math style="vertical-align: 0px">m</math> is the mass in kilograms. Calculate the rate of change of BSA with respect to height for a person of a constant mass of <math style="vertical-align: 0px">m=85.</math> What is the rate at <math style="vertical-align: -1px">h=170</math> and <math style="vertical-align: -1px">h=190?</math> Express your results in the correct units. Does the BSA increase more rapidly with respect to height at lower or higher heights? | ||
| + | <hr> | ||
| + | [[009A Sample Midterm 2, Problem 4 Solution|'''<u>Solution</u>''']] | ||
| − | + | [[009A Sample Midterm 2, Problem 4 Detailed Solution|'''<u>Detailed Solution</u>''']] | |
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[[009A_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']] | [[009A_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 14:39, 9 November 2017
To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared) using the formula:
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{BSA}=\frac{\sqrt{hm}}{60}}
where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h} is the height in centimeters and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m} is the mass in kilograms. Calculate the rate of change of BSA with respect to height for a person of a constant mass of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m=85.} What is the rate at Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h=170} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h=190?} Express your results in the correct units. Does the BSA increase more rapidly with respect to height at lower or higher heights?