Strategic oil supply. The U.S Strategic Petroleum Reserve (SPR) stores petroleum in large spherical caverns built into salt deposits along the Gulf of Mexico (Source, U.S. Department of Energy.) These caverns can be enlarged by filling the void with water, which dissolves the surrounding salt, and then pumping brine out Suppose a cavern has a radius of 400 ft, which engineers want to enlarge by 2 ft. Use a differential to estimate how much volume will be added to form the enlarged cavern (The formula for the volume of a sphere is V = 4 3 π r 3 use 3, 14 as an approximation for π )
Strategic oil supply. The U.S Strategic Petroleum Reserve (SPR) stores petroleum in large spherical caverns built into salt deposits along the Gulf of Mexico (Source, U.S. Department of Energy.) These caverns can be enlarged by filling the void with water, which dissolves the surrounding salt, and then pumping brine out Suppose a cavern has a radius of 400 ft, which engineers want to enlarge by 2 ft. Use a differential to estimate how much volume will be added to form the enlarged cavern (The formula for the volume of a sphere is V = 4 3 π r 3 use 3, 14 as an approximation for π )
Solution Summary: The author calculates the radius of the cavern which engineers want to enlarge by 2ft.
Strategic oil supply. The U.S Strategic Petroleum Reserve (SPR) stores petroleum in large spherical caverns built into salt deposits along the Gulf of Mexico (Source, U.S. Department of Energy.) These caverns can be enlarged by filling the void with water, which dissolves the surrounding salt, and then pumping brine out Suppose a cavern has a radius of 400 ft, which engineers want to enlarge by 2 ft. Use a differential to estimate how much volume will be added to form the enlarged cavern (The formula for the volume of a sphere is
V
=
4
3
π
r
3
use 3, 14 as an approximation for
π
)
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
2. [-/4 Points]
DETAILS
MY NOTES
SESSCALCET2 7.3.002.
Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a = 6 and b = 2.)
ASK YOUR TEACHER
0
y = a sin(bx²)
Sketch a typical approximating shell.
y
6
4
2
x
π/b
y
2
1
x
0.5
1.0
1.5
0.2
0.4
0.6
0.8
1.0
-2
-1
-4
The graph of f', the derivative of f, is shown in the graph below. If f(-9) = -5, what is the value of f(-1)?
y
87 19
6
LO
5
4
3
1
Graph of f'
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4 5
6
7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
564%
Let f(x)=−7e^xsinxf'(x)=
Chapter 2 Solutions
Calculus and Its Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Bittinger, Ellenbogen & Surgent, The Calculus and Its Applications Series)
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