Calculus: Early Transcendentals (3rd Edition)
3rd Edition
ISBN: 9780134763644
Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher: PEARSON
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Question
Chapter B, Problem 9E
To determine
To give: An equation of the given region.
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Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is
5
given by P'(t) = 126t², where t is the number of years since the factory started introducing
pollutants into the lake. Ecologists estimate that the lake can accept a total level of pollution of
600 units before all the fish life in the lake ends. Can the factory operate for 2 years without killing
all the fish in the lake?
Set up the integral that would determine the pollution level after 2 years.
2
5
126t
2
dt
Can the factory operate for 2 years without killing all the fish in the lake?
Thee factory can operate for 2 years without killing all the fish in the lake because the value
of the integral is , which is less than 600.
(Round to the nearest integer as needed.)
Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.
Check first to see if the graph crosses the x-axis in the given interval.
f(x)=4x-12; [2,6]
The area between the x-axis and f(x) is
(Type an integer or a simplified fraction.)
Evaluate the definite integral.
70
√5√2-6
3
dz
70
S
5√2-6
dz=
7
江
(Type an integer or decimal rounded to two decimal places as needed.)
Chapter B Solutions
Calculus: Early Transcendentals (3rd Edition)
Ch. B - State the meaning of {x: 4 x 10}. Express the...Ch. B - Write the interval (, 2) in set notation and draw...Ch. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Write an equation of the set of all points that...Ch. B - Explain how to find the distance between two...Ch. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Solving inequalities Solve the following...Ch. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Working with linear equations Find an equation of...Ch. B - Prob. 39ECh. B - Prob. 40ECh. B - Prob. 41ECh. B - Prob. 42ECh. B - Prob. 43ECh. B - Prob. 44ECh. B - Prob. 45ECh. B - Prob. 46ECh. B - Intervals to sets Express the following intervals...Ch. B - Intervals to sets Express the following intervals...Ch. B - Prob. 49ECh. B - Sets in the plane Graph each set in the xy-plane....
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