Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
d=√((x_2-x_1)²+(y_2-y_1)²)
√((10)-(-2))^2+(-1)-(4)^2)
√(144+25)
√(169)
13
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:
20x
Step-by-step explanation:
20 x^3/ x^2
20 x x x
----------------
x x
Cancel the x's
20 x
---------
1
20x
0.997903 kilograms in 2.2 pounds
Multiply each hourly rate by x ( time to complete the work) add it to the service call for each and then set the equations equal:
50 + 40x = 30 +45x
Subtract 30 from both sides:
20 + 40x = 45x
Subtract 40x from both sides:
20 = 5x
Divide both sides by 5
x = 4
The length is 4 hours.