How do you do this question?
1 answer:
Answer:
Solution : 126π/5
Step-by-step explanation:
Step 1 (Assign the 'values') : Using the cylinder method, given that x = 0 and x = 3, we will integrate along the x-axis from 0 to 3. The radius of each cylinder will be r = x, and the height should be the following,
h = y₁ - y₂ = x³ - 8
Step 2 (Substitute) : Remember that the volume of the graph will be in the following form,
If we substitute known values we should go in the following both. Remember that r = x, h = x³ - 8, b = 3, and a = 0 (our limits). Take a look at the attachment for those calculations. As you can see our solution is 126π/5.
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Answer:
The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel
Step-by-step explanation:
To prove that DE is parallel to BC, we have;
The slope, m of the lines DE and BC are found from the following equation;
Where;
(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;
Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;
Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.
Answer:
b
Step-by-step explanation: