Rescarchers have determined that the crown length of first molars in fetuses dhe 11. is related to the postconception age of the tooth as L(t) = -0.01t² +0.788t-7.048, %3D where L(t) is the crown length (in millimeters) of the molar t weeks after conception. a. What is thefrate of change of the crown length in week 20? b. Find the maximum length of the crown of first molars during weeks 22 through 28. L'(20) L'(c) -0 [2, 28]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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Researchers have determined that the crown length of first molars in fetuses
dhe'
11.
is related to the postconception age of the tooth as
L(t) =
= -0.01t2 +0.788t-7.048,
%3D
where L(t) is the crown length (in millimeters) of the molar t weeks after conception.
a. What is thefrate of change ol the crown length in week 20?
b. Find the maximum length of the crown of first molars during weeks 22 through 28.
L (20)
L'(c)=0
Transcribed Image Text:Researchers have determined that the crown length of first molars in fetuses dhe' 11. is related to the postconception age of the tooth as L(t) = = -0.01t2 +0.788t-7.048, %3D where L(t) is the crown length (in millimeters) of the molar t weeks after conception. a. What is thefrate of change ol the crown length in week 20? b. Find the maximum length of the crown of first molars during weeks 22 through 28. L (20) L'(c)=0
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