What is the value of x? x−15=8 in simplest form.
2 answers:
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Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
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 :)