7) The growth of corn leaves is modeled by the equation: A(t) 105 = 1+32900e-.04t Where A(t) is the leaf's area in cm2, t is the number of degree - days( days multiplied by the number of degrees above 8° C.) a) What is the predicted area on a 100th degree - day? b) What is the limiting value for the area? What does it mean? c) Find first derivative and, using formula for inflection point, sketch its graph. d) What is the sign of the first derivative? What does it mean?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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7) The growth of corn leaves is modeled by the equation: A(t)
105
=
1+32900e-.04t
Where A(t) is the leaf's area in cm2, t is the number of degree - days( days multiplied by the
number of degrees above 8° C.)
a) What is the predicted area on a 100th degree - day?
b) What is the limiting value for the area? What does it mean?
c) Find first derivative and, using formula for inflection point, sketch its graph.
d) What is the sign of the first derivative? What does it mean?
Transcribed Image Text:7) The growth of corn leaves is modeled by the equation: A(t) 105 = 1+32900e-.04t Where A(t) is the leaf's area in cm2, t is the number of degree - days( days multiplied by the number of degrees above 8° C.) a) What is the predicted area on a 100th degree - day? b) What is the limiting value for the area? What does it mean? c) Find first derivative and, using formula for inflection point, sketch its graph. d) What is the sign of the first derivative? What does it mean?
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