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.
Hello! And thank you for your question!
First we are going to redo the equation:
<span><span><span>y<span><span>^3</span><span></span></span></span>−3<span>y^<span><span>2</span><span></span></span></span>(3)+3(y)×<span>3<span><span>^2</span><span></span></span></span>−<span>3<span><span>^3</span><span></span></span></span>=0
Then we are going to use Cube of Difference:
0 = (y - 3)^3
That take cube root of both sides:
0 = y - 3
Finally add 3 to both sides:
3 = y
Final Answer:
y = 3</span></span>
Answer:
69420
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
3+3+3+13+13+13
This is 3 times 3
This is also 3 times 13
Which would be 3(3+13)
Answer:
Divide 9 from both sides.
Step-by-step explanation:
The first step to solving this equation is to add 23 to both sides.
9x - 23 (+23) = 49 (+23)
9x = 49 + 23
9x = 72
The second step is to isolate the x and divide 9 from both sides:
(9x)/9 = (72)/9
x = 72/9
x = 8
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