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A patient's pulse is measured three times. The results are 70 bmp, 80 bpm, and 120 bpm.The doctor would like to find a number which most accurately represents the patient's pulse. To do so, they minimize: p(x) = (x – 70)² + (x – 80)² + (x – 120)² a) Find all the critical points of p(x). b) Calculate which values of x minimizes p(x). c) Briefly explain why the doctor might choose this function p(x) to minimize.

A patient's pulse is measured three times. The results are 70 bmp, 80 bpm, and 120 bpm.The doctor would like to find a number which most accurately represents the patient's pulse. To do so, they minimize: p(x) = (x – 70)² + (x – 80)² + (x – 120)² a) Find all the critical points of p(x). b) Calculate which values of x minimizes p(x). c) Briefly explain why the doctor might choose this function p(x) to minimize.

Calculus: Early Transcendentals
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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A patient's pulse is measured three times. The results are 70 bmp, 80 bpm, and 120 bpm.The doctor would like to find a number which most accurately represents the patient's pulse. To do so, they minimize: p(x) = (x – 70)² + (x – 80)² + (x – 120)² | a) Find all the critical points of p(x). b) Calculate which values of x minimizes p(x). c) Briefly explain why the doctor might choose this function p(x) to minimize.
Transcribed Image Text:A patient's pulse is measured three times. The results are 70 bmp, 80 bpm, and 120 bpm.The doctor would like to find a number which most accurately represents the patient's pulse. To do so, they minimize: p(x) = (x – 70)² + (x – 80)² + (x – 120)² | a) Find all the critical points of p(x). b) Calculate which values of x minimizes p(x). c) Briefly explain why the doctor might choose this function p(x) to minimize.
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