Copper Wire The resistance y in ohms of 1000 feet of solid copper wire at 77°F can be approximated by the model y = 10 , 770 x 2 − 0.37 , 5 ≤ x ≤ 100 where x is the diameter of the wire in mils (0.001 in.). Use a graphing utility to graph the model. By about what factor is the resistance changed when the diameter of the wire is doubled?
Copper Wire The resistance y in ohms of 1000 feet of solid copper wire at 77°F can be approximated by the model y = 10 , 770 x 2 − 0.37 , 5 ≤ x ≤ 100 where x is the diameter of the wire in mils (0.001 in.). Use a graphing utility to graph the model. By about what factor is the resistance changed when the diameter of the wire is doubled?
Solution Summary: The author explains how the model y=10770x2-0.37 by graphing utility and determine factor by which the resistance changed when the diameter of the wire is doubled.
Copper Wire The resistance y in ohms of 1000 feet of solid copper wire at 77°F can be approximated by the model
y
=
10
,
770
x
2
−
0.37
,
5
≤
x
≤
100
where x is the diameter of the wire in mils (0.001 in.). Use a graphing utility to graph the model. By about what factor is the resistance changed when the diameter of the wire is doubled?
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
4. Use cylindrical shells to find the volume of the solid generated when the
region enclosed by the given curves is revolved about the x-axis.
y = √√x, y = 0, y = √√3
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