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.
The function f(x) is increasing on the interval (-4, 0) ∪ (4, ∞).
2x-6=14 2x=20
a)x=10
-5x5=40 -5x=35
B)x=-7
12x+240=24 12x=-216
C) x=-18
Answer:
x = 7
y = 2
Step-by-step explanation:
In the above question, we are given 2 equations which are simultaneous. To solve this equation, we have to find the values of x and y
x + 3y = 13 ........ Equation 1
x - y = 5...........Equation 2
From Equation 2,
x = 5 + y
Substitute 5 + y for x in Equation 1
x + 3y = 13 ........ Equation 1
5 + y + 3y = 13
5 + 4y = 13
4y = 13 - 5
4y = 8
y = 8/4
y = 2
Since y = 2, substitute , 2 for y in Equation 2
x - y = 5...........Equation 2
x - 2 = 5
x = 5 + 2
x = 7
Therefore, x = 7 and y = 2
Answer:
18 plastic propellers, 18 Bug Antenna, 24 moose antlers,
Step-by-step explanation:
When we multiply our total sum of 60 by certain decimal values by converting the factions to decimals we can get each type of hats count.
1/3 works out to be 0.30
60×0.3 = 18
2/5 works out to be 0.40
60×0.4 = 24
To find out the remaining amount that is plastic propellers you subtract the added hats and the total value.
60 - (18 + 24)
60 - 42
18
