to. 6. The initial population in a bacteria colony is 10,000. After t hours, the colony has grown to a number P(t) given by P(t) = 10,000(1+0.86t +t²) A. Find the rate of change of the population P with respect to time. This is also known as growth rate. B. Find the number of bacteria present after 5 hours. C. Find the growth rate when t = 5. A company determines that the monthly sales S, in thousands of dollars, after t months o

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. The initial population in a bacteria colony is 10,000. After t hours, the colony has grown
to a number P(t) given by
P(t) = 10,000(1+0.86t +t²)
A. Find the rate of change of the population P with respect to time. This is also
known as growth rate.
B. Find the number of bacteria present after 5 hours.
C. Find the growth rate when t = 5.
A company determines that the monthly sales S, in thousands of dollars, after t months o
Transcribed Image Text:to. 6. The initial population in a bacteria colony is 10,000. After t hours, the colony has grown to a number P(t) given by P(t) = 10,000(1+0.86t +t²) A. Find the rate of change of the population P with respect to time. This is also known as growth rate. B. Find the number of bacteria present after 5 hours. C. Find the growth rate when t = 5. A company determines that the monthly sales S, in thousands of dollars, after t months o
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