5 A male child is 19 inches long at birth and grows to an adult height of 73 inches. In this exercise, we make a logistic model of his height as a function of age.(a) Use the given information to find K and b for the logistic model. (Round b to two decimal places.)K=b =(b) Suppose he reaches 91% of his adult height at age 16. Use this information and that from part (a) to find r. (Suggestion: You will need to use either the crossing-graphs method or somealgebra involving the logarithm. Round r to three decimal places.)(c) Make a logistic model for the height H, in inches, as a function of the age t, in years.H(t) =C) According to the logistic model, at what age is he growing the fastest? (Round your answer to two decimal places.)years old

Name: 5 A male child is 19 inches long at birth and grows to an adult height
Uploaded: 2024-03-20T07:06:41.000Z
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Description: 5 A male child is 19 inches long at birth and grows to an adult height of 73 inches. In this exercise, we make a logistic model of his height as a function of age.(a) Use the given information to find K and b for the logistic model. (Round b to two d

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A male child is 19 inches long at birth and grows to an adult height of 73 inches. In this exercise, we make a logistic model of his height as a function of age. (a) Use the given information to find K and b for the logistic model. (Round b to two decimal places.) (b) Suppose he reaches 91% of his adult height at age 16. Use this information and that from part (a) to find r. (Suggestion: Vou will need to use either the crossing-graphs method or some algebra involving the logarithm. Round r to three decimal places.) (e) Make a logistic model for the height H, in inches, as a function of the age r, in years. H(t) = (d) According to the logistic model, at what age is he growing the fastest? (Round your answer to two decimal places.) years old