Answer:
The volume of the solid is either 346.5 in³ or 693 in³.
Step-by-step explanation:
The solid can either be a triangular prism or a rectangular cube.
- Consider the solid as a triangular prism.
The volume of a triangular prism is:

Here,
B = base
H = height
L = length
Let,
B = 7 in
H = 9 in
L = 11 in
Compute the volume of a triangular prism as follows:


Thus, the volume of a triangular prism is 346.5 in³.
- Consider the solid as a rectangular cube.
The volume of a rectangular cube is:

The values of L, B and H remains the same as above.
Compute the volume of a rectangular cube as follows:


Thus, the volume of a rectangular cube is 693 in³.
Answer:
The answer is -x
Step-by-step explanation:
(x+3)(x-4)
x²-4x+3x-12
x²-x-12
The 9 is higher than 5, so the 3 will round up to 4
502.644
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:
f(2) = -3
Step-by-step explanation:
This is the answer because:
1) The question is basically asking what the y-cordinate is.
2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.
3) When you line up the cordinates, you can see that where x is 2, y is -3.
Therefore, the answer is -3.
Hope this helps! :D