5. a) All edges of a cube are expanding at a rate of 3 cm per second How fast is the volume changing when each edge is 5 cm? OR b) All edges of a cube are expending at a rate of 2 centimeters per second. How fast is the surface area changing when each edge is 5 centimeters.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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5. a) All edges of a cube are expanding at a rate of 3 cm per second
How fast is the volume changing when each edge is 5 cm?
OR
b) All edges of a cube are expending at a rate of 2 centimeters per second.
How fast is the surface area changing when each edge is 5 centimeters.
6. The number of people who have contracted a particular flu virus is increas
g(t) = 9√t people per day, where t is the number of days after the start of t
How many people contracted the flu from the 10th and 20th day of the mon
7. Suppose that f(t) is the rate at which snow is falling at a particular locatic
in inches per hour, t hours after the start of a storm.
5
f(t) dt = 8.3
in this context.
Transcribed Image Text:5. a) All edges of a cube are expanding at a rate of 3 cm per second How fast is the volume changing when each edge is 5 cm? OR b) All edges of a cube are expending at a rate of 2 centimeters per second. How fast is the surface area changing when each edge is 5 centimeters. 6. The number of people who have contracted a particular flu virus is increas g(t) = 9√t people per day, where t is the number of days after the start of t How many people contracted the flu from the 10th and 20th day of the mon 7. Suppose that f(t) is the rate at which snow is falling at a particular locatic in inches per hour, t hours after the start of a storm. 5 f(t) dt = 8.3 in this context.
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