10 The table below gives, for a certain man, his height H = H(t) in inches at age t in years.t = Age(years)H = Height(inches)022.5542.010152025(a) Use functional notation to express the height of the man at age 11, and then estimate its value. (Round the height to one decimal place.)H(inches56.566.073.073.5(b) Now we study the man's growth rate.(i) Make a table showing, for each of the 5-year periods, the average yearly growth rate-that is, the average yearly rate of change in H. (Roundthe answers to one decimal place.)Age range10 to 1515 to 2020 to 25Average yearly growth rate(ii) During which 5-year period did the man grow the most in height?Ⓒ 0 to 5O 5 to 100 to 55 to 10(iii) Describe the general trend in the man's growth rate.There is no trend as the man gets older.As the man gets older, his growth is constant.As the man gets older, he grows more slowly.As the man gets older, he grows more quickly.Explain your reasoning in physical terms.(c) What limiting value would you estimate for the height of this man?inches10 to 1515 to 2020 to 25

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The table below gives, for a certain man, his height H = H(t) in inches at age t in years. t = Age (years) H = Height (inches) 0 22.5 5 42.0 10 15 20 25 56.5 66.0 73.0 73.5 (a) Use functional notation to express the height of the man at age 11, and then estimate its value. (Round the height to one decimal place.) H( inches (b) Now we study the man's growth rate. (i) Make a table showing, for each of the 5-year periods, the average yearly growth rate-that is, the average yearly rate of change in H. (Round the answers to one decimal place.) Age range 0 to 5 Average yearly growth rate (ii) During which 5-year period did the man grow the most in height? 0 to 5 5 to 10 10 to 15 15 to 20 20 to 25 5 to 10 (iii) Describe the general trend in the man's growth rate. There is no trend as the man gets older. As the man gets older, his growth is constant. As the man gets older, he grows more slowly. As the man gets older, he grows more quickly. (c) What limiting value would you estimate for the height of this man? inches Explain your reasoning in physical terms. 10 to 15 15 to 20 20 to 25

The table below gives, for a certain man, his height H = H(t) in inches at age t in years. t = Age (years) H = Height (inches) 0 22.5 5 42.0 10 15 20 25 56.5 66.0 73.0 73.5 (a) Use functional notation to express the height of the man at age 11, and then estimate its value. (Round the height to one decimal place.) H( inches (b) Now we study the man's growth rate. (i) Make a table showing, for each of the 5-year periods, the average yearly growth rate-that is, the average yearly rate of change in H. (Round the answers to one decimal place.) Age range 0 to 5 Average yearly growth rate (ii) During which 5-year period did the man grow the most in height? 0 to 5 5 to 10 10 to 15 15 to 20 20 to 25 5 to 10 (iii) Describe the general trend in the man's growth rate. There is no trend as the man gets older. As the man gets older, his growth is constant. As the man gets older, he grows more slowly. As the man gets older, he grows more quickly. (c) What limiting value would you estimate for the height of this man? inches Explain your reasoning in physical terms. 10 to 15 15 to 20 20 to 25

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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