Deck 7: Extension C: Differential Equations

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سؤال
Use cylindrical shells to find the volume of the solid. A sphere of radius <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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سؤال
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. <strong>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.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Select the correct answer.The choices are rounded to the nearest hundredth.

A) <strong>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.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>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.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>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.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>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.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>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.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
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 <strong>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    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>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    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>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    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>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    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>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    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>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    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>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    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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. <strong>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.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>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.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>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.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>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.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>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.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>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.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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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 <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)

A) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)
B) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)
C) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)
D) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> A)   B)   C)   D)   E)
E) <strong>Use cylindrical shells to find the volume of the solid. A sphere of radius  </strong> 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. <strong>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.</strong> A)   B)   C)   D)   E)   Select the correct answer.The choices are rounded to the nearest hundredth.

A) <strong>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.</strong> A)   B)   C)   D)   E)
B) <strong>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.</strong> A)   B)   C)   D)   E)
C) <strong>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.</strong> A)   B)   C)   D)   E)
D) <strong>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.</strong> A)   B)   C)   D)   E)
E) <strong>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.</strong> 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 <strong>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    </strong> A)   B)   C)   D)   E)   <strong>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    </strong> A)   B)   C)   D)   E)

A) <strong>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    </strong> A)   B)   C)   D)   E)
B) <strong>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    </strong> A)   B)   C)   D)   E)
C) <strong>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    </strong> A)   B)   C)   D)   E)
D) <strong>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    </strong> A)   B)   C)   D)   E)
E) <strong>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    </strong> 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. 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. <strong>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.  </strong> A)   B)   C)   D)   E)

A) <strong>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.  </strong> A)   B)   C)   D)   E)
B) <strong>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.  </strong> A)   B)   C)   D)   E)
C) <strong>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.  </strong> A)   B)   C)   D)   E)
D) <strong>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.  </strong> A)   B)   C)   D)   E)
E) <strong>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.  </strong> A)   B)   C)   D)   E)
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