Biologists believe the number of mice in a large colony is modeled by M(t) = 200– 150e%,where t represents the number of months that have passed since they began studying the mice. Find the average number of mice in the colony during the first 6 months.

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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39.
Biologists believe the number of mice in a large colony is modeled by M(t) = 200 – 150e3, where t represents the number of
months that have passed since they began studying the mice. Find the average number of mice in the colony during the first 6
months.
O A 20.868
OB 37.534
OC 112.603
OD 130.442
40. If f'(x) 1+ cos(2-x), how many points of inflection does the graph of f have in the interval -0.5 Sx<3.0?
O A None
OB
1
OC 3
OD 4
41.
The base of a solid is the region in the first quadrant bounded by the curve y In x, the horizontal line y 1, and the vertical.
line x= 5. For this solid, cross sections perpendicular to the x-axis are squares. What is the volume of the solid?
Transcribed Image Text:39. Biologists believe the number of mice in a large colony is modeled by M(t) = 200 – 150e3, where t represents the number of months that have passed since they began studying the mice. Find the average number of mice in the colony during the first 6 months. O A 20.868 OB 37.534 OC 112.603 OD 130.442 40. If f'(x) 1+ cos(2-x), how many points of inflection does the graph of f have in the interval -0.5 Sx<3.0? O A None OB 1 OC 3 OD 4 41. The base of a solid is the region in the first quadrant bounded by the curve y In x, the horizontal line y 1, and the vertical. line x= 5. For this solid, cross sections perpendicular to the x-axis are squares. What is the volume of the solid?
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