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Molars The crown length (as shown below) of first molars
Chapter 3, Problem 36A(choose chapter or problem)
Problem 36A
Molars The crown length (as shown below) of first molars in fetuses is related to the postconception age of the tooth as
L(t) = −0.01t2 + 0.788t − 7.048,
where L(t) is the crown length, in millimeters, of the molar t weeks after conception. Source: American Journal of Physical Anthropology.
a. Find the average rate of growth in crown length during weeks 22 through 28.
b. Find the instantaneous rate of growth in crown length when the tooth is exactly 22 weeks of age.
c. Graph the function on [0, 50] by [0, 9]. Does a function that increases and then begins to decrease make sense for this particular application? What do you suppose is happening during the first 11 weeks? Does this function accurately model crown length during those weeks?
Questions & Answers
QUESTION:
Problem 36A
Molars The crown length (as shown below) of first molars in fetuses is related to the postconception age of the tooth as
L(t) = −0.01t2 + 0.788t − 7.048,
where L(t) is the crown length, in millimeters, of the molar t weeks after conception. Source: American Journal of Physical Anthropology.
a. Find the average rate of growth in crown length during weeks 22 through 28.
b. Find the instantaneous rate of growth in crown length when the tooth is exactly 22 weeks of age.
c. Graph the function on [0, 50] by [0, 9]. Does a function that increases and then begins to decrease make sense for this particular application? What do you suppose is happening during the first 11 weeks? Does this function accurately model crown length during those weeks?
ANSWER:
Solution:
Step 1 of 5:
In this question, we have to solve the following statements.