APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter A, Problem 21P
To determine
(a)
To find:
Whether the given data fits with linear, exponential, logarithmic or quadratic function by plotting the data.
To determine
(b)
To find:
The formula for the linear function fits with the given data.
To determine
(c)
To find:
The value of the function in the year 2015.
To determine
(d)
To graph:
The function
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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)=8-2x²: [0,4]
Set up the integral (or integrals) needed to compute this area. Use the smallest possible number of integrals. Select the correct choice below and fill in the answer boxes to
○ A.
dx
B.
2
S
8-2x² dx+
4
S
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C.
dx +
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For the interval [0,4], the area between the x-axis and f(x) is
(Type an integer or a simplified fraction.)
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
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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.)
Chapter A Solutions
APPLIED CALCULUS (WILEY PLUS)
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