Answer:
A) When using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. True.
The Shell method is a technique used to find the volume of a solid of revolution. Here, we take thin shells with axis coinciding with the axis about which the region whose volume is to be found, is revolved.
B) If a region is revolved about the y-axis, then the shell method must be used. False.
This method can be used with any axis of rotation.
C) If a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y. True.
The washer method uses thin disks with infinite width but the shell method uses thin concentric shells with infinite width about the axis of revolution. So, the statement is true.
Answer:
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Perimeter of rectangle:
P = 2(L + W)
P = 250 (given)
L = 3W - 35 (given)
250 = 2(3W -35 + W) ↔ 125 = 4W - 35
4W = 125 +35 =160 And W = 40 ft
And L = 3x40 - 35 = 85 ft
Answer:
a. Inscribed angle = <WXY
b. Minor arc = arc(XY)
c. VWX
d. m(VWX) = 180°
e. m<VUW = 110°
Step-by-step explanation:
a. The angle, <WXY has its vertex on the circumference of the circle. Therefore, it can be referred to as an inscribed angle of the circle with center U.
Inscribed angle = <WXY
b. Arc(XY) is a minor arc because it is smaller than half of circle with center U.
Minor arc = arc(XY)
c. A semicircle is half of a full rotation for a circle. From the diagram, a semicircle is VWX
d. m(VWX) = Half the rotation of a full circle = 180°
e. m<VUW = arc(VW) (measure of central angle = measure of arc)
m<VUW = 110° (Substitution)
Answer:
<h2>800</h2>
Step-by-step explanation:
