DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Chapter B, Problem 39ES
To determine
To fill: The blank in the statement, “
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The rate at which a substance grows is given by R'(x) = 105e0.3x, where x is the time (in days).
What is the total accumulated growth during the first 2.5 days?
Set up the definite integral that determines the accumulated growth during the first 2.5 days.
2.5
Growth = (105e0.3x) dx
0
(Type exact answers in terms of e.)
Evaluate the definite integral.
Growth=
(Do not round until the final answer. Then round to one decimal place as needed.)
Find the total area of the shaded regions.
y
18-
16-
14-
12-
10-
8-
6-
y=ex+1-e
4-
2-
0-
2
3
4
5
-2
-4-
X
☑
The total area of the shaded regions is
(Type an integer or decimal rounded to three decimal places as needed.)
The graph of f(x), shown here, consists of two straight line segments and two quarter circles. Find the
19
value of f(x)dx.
小
Srxdx.
19
f(x)dx
y
7
-7
2
12
19
X
☑
Chapter B Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. B - Complete.
1.
Ch. B - Prob. 2DECh. B - Prob. 3DECh. B - Prob. 4DECh. B - Prob. 5DECh. B - Prob. 6DECh. B - Prob. 7DECh. B - Prob. 8DECh. B - Prob. 9DECh. B - Prob. 10DE
Ch. B - Prob. 11DECh. B - Prob. 12DECh. B - Prob. 13DECh. B - Prob. 14DECh. B - Prob. 1ESCh. B - Prob. 2ESCh. B - Prob. 3ESCh. B - Prob. 4ESCh. B - Prob. 5ESCh. B - Prob. 6ESCh. B - Prob. 7ESCh. B - Prob. 8ESCh. B - Prob. 9ESCh. B - Prob. 10ESCh. B - Prob. 11ESCh. B - Prob. 12ESCh. B - Prob. 13ESCh. B - Prob. 14ESCh. B - Prob. 15ESCh. B - Prob. 16ESCh. B - Prob. 17ESCh. B - Prob. 18ESCh. B - Prob. 19ESCh. B - Prob. 20ESCh. B - Prob. 21ESCh. B - Prob. 22ESCh. B - Prob. 23ESCh. B - Prob. 24ESCh. B - Prob. 25ESCh. B - Prob. 26ESCh. B - Prob. 27ESCh. B - Prob. 28ESCh. B - Prob. 29ESCh. B - Prob. 30ESCh. B - Prob. 31ESCh. B - Prob. 32ESCh. B - Prob. 33ESCh. B - Prob. 34ESCh. B - Prob. 35ESCh. B - Prob. 36ESCh. B - Prob. 37ESCh. B - Prob. 38ESCh. B - Prob. 39ESCh. B - Prob. 40ESCh. B - Prob. 41ESCh. B - Prob. 42ESCh. B - Prob. 43ESCh. B - Prob. 44ESCh. B - Prob. 45ESCh. B - Prob. 46ESCh. B - Prob. 47ESCh. B - Prob. 48ESCh. B - Prob. 49ESCh. B - Prob. 50ESCh. B - Prob. 51ESCh. B - Prob. 52ESCh. B - Prob. 53ESCh. B - Prob. 54ESCh. B - Prob. 55ESCh. B - Prob. 56ESCh. B - Prob. 57ESCh. B - Prob. 58ESCh. B - Prob. 59ESCh. B - Medical Dosage. Solve each of the following. (None...Ch. B - 61. Tanzanite. Tanzanite is a gemstone discovered...
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- Can you solve this two numerical method eqn and teach me.arrow_forwardFind the area between the following curves. x=-4, x=2, y=ex, and y = 3 - ex Set up the integral (or integrals) needed to compute this area. Use the small (Type exact answers in terms of e.) 3 In 2 A. S √ [3-2e*] dx+ -4 2 S [2ex-3] dx 3 In 2 B. dx Find the area between the curves. Area = (Type an exact answer in terms of e.)arrow_forwardUse 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 2 8-2x2 dx C. dx + S dx For the interval [0,4], the area between the x-axis and f(x) is (Type an integer or a simplified fraction.)arrow_forward
- 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.)arrow_forwardUse 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.)arrow_forwardEvaluate 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.)arrow_forward
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