Solve the system of equations. y=x-1 y=-x-5
2 answers:
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Answer:
1) V = 12 π ㏑ 3
2)
Step-by-step explanation:
Given that:
the graphs of the equations about each given line is:
Using Shell method to determine the required volume,
where;
shell radius = x; &
height of the shell =
∴
Volume V =
V = 12 π ( ㏑ 3 - ㏑ 1)
V = 12 π ( ㏑ 3 - 0)
V = 12 π ㏑ 3
2) Find the line y=6
Using the disk method here;
where,
Inner radius
outer radius R(x) = 6
Thus, the volume of the solid is as follows:
Recall that:
Then:
The graph of equation for 1 and 2 is also attached in the file below.
