Answer this too, the BRAINIEST!
1 answer:
Check out the attached image below for the steps on how to do this derivation.
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Some notes:
- For line 2, I used the identity
- For line 7, I applied the reciprocal to both sides.
- For line 8, I used the identity
- For line 9, I used the identty
which is a rearrangement of
- For lines 1 through 6, I'm isolating tan^2, so that I can later transform that into cot^2, which leads to csc^2. All of this is done through the identities mentioned above.
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Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:
Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.
We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:
Substitute:
Integrate:
Evaluate:
36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.