Deck 7: Extension C: Differential Equations
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Deck 7: Extension C: Differential Equations
1
Use cylindrical shells to find the volume of the solid. A sphere of radius 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


2
Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve.
Select the correct answer.The choices are rounded to the nearest hundredth.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


3
Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters).You discover that both napkin rings have the same height h as shown in the figure.Use cylindrical shells to compute the volume of a napkin ring created by drilling a hole with radius d through the center of a sphere of radius D and express the answer in terms of

A)
B)
C)
D)
E)


A)

B)

C)

D)

E)


4
Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the x-axis. 

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5
Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the x-axis. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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