The growth rate of a fungus varies over the course of one day. You find that the size of the fungus is given as a function of time by: a. L(t) = 3.6t + 1.2 cos(2nt/24) where t is the time in hours, and L(t) is the size in millimeters. Calculate the growth rate dL/dt. O A. dL/dt = 3.6 - sin(t) O B. dL/dt = 3.6 + 1.2 sin(2nt/24) O C. dL/dt = 3.6 – 1.2 sin(2rt/24) >O D. dL/dt = 3.6 – sin(2nt/24) b. What is the largest growth rate of the fungus? Please round to 3 decimal places.

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Author:James Stewart
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Chapter1: Functions And Models
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The growth rate of a fungus varies over the course of one day. You find that the size of the fungus is given as a function
of time by:
a.
L(t) = 3.6t + 1.2 cos(2t/24)
where t is the time in hours, and L(t) is the size in millimeters. Calculate the growth rate dL/dt.
O A. dL/dt = 3.6 – sin(t)
O B. dL/dt = 3.6 + 1.2 sin(2nt/24)
O C. dL/dt = 3.6 – 1.2 sin(2rt/24)
→O D. dL/dt = 3.6 – sin(2nt/24)
b.
What is the largest growth rate of the fungus? Please round to 3 decimal places.
Transcribed Image Text:The growth rate of a fungus varies over the course of one day. You find that the size of the fungus is given as a function of time by: a. L(t) = 3.6t + 1.2 cos(2t/24) where t is the time in hours, and L(t) is the size in millimeters. Calculate the growth rate dL/dt. O A. dL/dt = 3.6 – sin(t) O B. dL/dt = 3.6 + 1.2 sin(2nt/24) O C. dL/dt = 3.6 – 1.2 sin(2rt/24) →O D. dL/dt = 3.6 – sin(2nt/24) b. What is the largest growth rate of the fungus? Please round to 3 decimal places.
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