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.
750 because you take 5000 divided by 100 equals 50, and 15 times 50 equals 750
Lets solve the equation first:
<span> 0.5 – |x – 12| = –0.25
</span>= 1/2 - |x - 12| = -1/4
= 2 - 4<span>|x - 12| = -1
= 4|x - 12| = 3
= |x - 12| = 0.75
positive case, x >= 12
x - 12 = 0.75
x = 12.75
negative case, x < 12
x - 12 = -0.75
x = 11.25
So those are the two solutions.
These apply:
</span>1.) The equation will have no solutions.
2.) A good first step for solving the equation is to subtract 0.5 from both sides of the equation.
<span>3.) A good first step for solving the equation is to split it into a positive case and a negative case.
</span><span>5.) The negative case of this equation is x – 12 = –0.75.</span>
<em>Answer:</em>
∠WVR = 156
<em>Step-by-step explanation:</em>
Angles in a triangle add up to 180
∴ ∠SRT + RST + RTS = 180
∴ ∠SRT + 109 + 47 = 180
∠SRT = 24
Alternate Angle Theorem
∠SRT = 180 - ∠WVR
24 = 180 - ∠WVR
24 - 180 = - ∠WVR
-156 = - ∠WVR
∠WVR = 156
Have a beautiful day.
Answer:
C) Area of Triangle is 102 Square Units
