Which is bigger 5/8 or 0.58
1 answer:
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Answer:
Step-by-step explanation:
So we have the indefinite integral:
This is the same thing as:
So, let's do integration by parts.
Let u be (ln(x))². And let dv be (1)dx. Therefore:
Simplify:
And:
Therefore:
The x cancel:
Move the 2 to the front:
(I'm not exactly sure how you got what you got. Perhaps you differentiated incorrectly?)
Now, let's use integrations by parts again for the integral. Similarly, let's put a 1 in front:
Let u be ln(x) and let dv be (1)dx. Thus:
And:
So:
Simplify the integral:
Evaluate:
Now, we just have to simplify :)
Distribute the -2:
And if preferred, we can factor out a x:
And, of course, don't forget about the constant of integration!
And we are done :)
Answer:
750 ft^3
Step-by-step explanation:
Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;
The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;
volume scale factor = (linear scale factor)^3
= 2.5^3 = 125/8
The volume of Cone B will thus be;
volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3