For this case we have by definition that:
In this case we must find so:
(
We must apply distributive property that states that:
So:
Answer:
Notice that the condition <em>x</em> ≠ 2<em>πk</em> for (presumably) integer <em>k</em> means cos(<em>x</em>) ≠ ±1, and in particular cos(<em>x</em>) ≠ 1 so that we could divide both sides by (1 - cos(<em>x</em>)) safely. Doing so lets us separate the variables:
(1 - cos(<em>x</em>)) <em>y'</em> - <em>y</em> sin(<em>x</em>) = 0
==> (1 - cos(<em>x</em>)) <em>y'</em> = <em>y</em> sin(<em>x</em>)
==> <em>y'</em>/<em>y</em> = sin(<em>x</em>)/(1 - cos(<em>x</em>))
==> d<em>y</em>/<em>y</em> = sin(<em>x</em>)/(1 - cos(<em>x</em>)) d<em>x</em>
Integrate both sides and solve for <em>y</em>. On the right, substitute <em>u</em> = 1 - cos(<em>x</em>) and d<em>u</em> = sin(<em>x</em>) d<em>x</em>.
∫ d<em>y</em>/<em>y</em> = ∫ sin(<em>x</em>)/(1 - cos(<em>x</em>)) d<em>x</em>
∫ d<em>y</em>/<em>y</em> = ∫ d<em>u</em>/<em>u</em>
ln|<em>y</em>| = ln|<em>u</em>| + <em>C</em>
exp(ln|<em>y</em>|) = exp(ln|<em>u</em>| + <em>C </em>)
exp(ln|<em>y</em>|) = exp(ln|<em>u</em>|) exp(<em>C </em>)
<em>y</em> = <em>Cu</em>
<em>y</em> = <em>C</em> (1 - cos(<em>x</em>))
Hello! I would love to help!
Let's start by decreasing 32 pages to 28. How many pages does it take to get from 28 to 32? Let's subtract to find out!
32-28=4
Okay, now we know 28 pages is 4 less than 32.
Now, what percentage did it decrease by? Let's find out by dividing!
4/32=0.125
Let's make that decimal into a percentage by multiplying it by 100.
0.125*100=12.5
So, we now know the answer is...
decreased by 12.5%
Hope this helped! Comment if you have questions!
Answer:
ITS UNDEFINED
Step-by-step explanation:
u have to subtract 26,800 by 5,000 then u would get 21800 then u find 15% of 21800 and u get 3270 John Doe paid $3,270