Mathematics
8 Online
OpenStudy (anonymous):
please help me out
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OpenStudy (anonymous):
OpenStudy (rulnick):
set the argument of sin to 0
OpenStudy (mertsj):
The sin of 0 is 0 so set the argument = to 0 and solve.
OpenStudy (rulnick):
.6x-2 = 0
.6x = 2
x= 3 and 1/3
OpenStudy (rulnick):
ok?
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OpenStudy (anonymous):
the answer is 3?
OpenStudy (rulnick):
3.333...
OpenStudy (anonymous):
im doing it online and it tells me that it is wrong :(
OpenStudy (anonymous):
oh never mind i got you :)
OpenStudy (anonymous):
how can i solve the equation 2cosx-4sinxcosx=0?
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OpenStudy (mertsj):
Factor out cosx
OpenStudy (mertsj):
Or better yet factor out 2 cosx
OpenStudy (anonymous):
can i subtract the 2?
OpenStudy (anonymous):
or divide!
OpenStudy (mertsj):
No. It is a factor.
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OpenStudy (mertsj):
\[2cosx(1-2sinx)=0\]
OpenStudy (mertsj):
Now set each factor to 0 and solve.
OpenStudy (mertsj):
\[2\cos x=0 and
1-2\sin x=0\]
OpenStudy (anonymous):
oooh i was confused thinking that i had to solve for x
OpenStudy (mertsj):
\[\cos x=0, x=\frac{\pi}{2}, \frac{3\pi}{2}\]
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OpenStudy (anonymous):
5pi/6?
OpenStudy (mertsj):
\[\sin x=\frac{1}{2}, x = \frac{\pi}{6},\frac{5\pi}{6}\]
OpenStudy (mertsj):
Those are the solutions between 0 and 2 pi. I don't know what your directions say about the number of solutions required.
OpenStudy (anonymous):
thank youuu can you help me out with this one?
OpenStudy (anonymous):
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OpenStudy (mertsj):
Did you graph it on your graphing calculator?
OpenStudy (anonymous):
i dont have one :( that is why im struggling so much with this homework!
OpenStudy (mertsj):
Did you know that there are free ones online?
OpenStudy (anonymous):
no
OpenStudy (mertsj):
So i graphed it but I don't know what the question is.
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OpenStudy (anonymous):
we have to describe the results
OpenStudy (anonymous):
these are the options
OpenStudy (mertsj):
Describe the result it says. so It is a parabola that is concave downward and whose vertex is (92/15,807/250)
OpenStudy (mertsj):
It says to graph f and g but I don't see a g anywhere.
OpenStudy (anonymous):
g(X)=-0.45x^2+5.52x-13.70
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OpenStudy (mertsj):
Oh yes. That is g. Where is f?
OpenStudy (anonymous):
f(X)=3sin(0.6-2)
OpenStudy (anonymous):
at x=5
OpenStudy (anonymous):
?
OpenStudy (mertsj):
For 3.5 to 6 the approximation is pretty good. Meaning that the graphs are close to each other in that interval.
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OpenStudy (anonymous):
so using that formula to find the zeros of g in the interval 0,6 i got 3.455, 8.811 is that correct?
OpenStudy (mertsj):
But the second one (8.811) is not in the interval.
OpenStudy (anonymous):
so it would be only 3.455
OpenStudy (mertsj):
If the question is what is the 0 of the function. I didn't see that question anywhere.
OpenStudy (anonymous):
the questions says , use the quadratic formula to find the zeros of g in the interval 0,6
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OpenStudy (mertsj):
Then there is only the one zero in that interval.
OpenStudy (anonymous):
meaning...
OpenStudy (mertsj):
The zero of g in the interval (0,6) is 3.455
OpenStudy (anonymous):
alright thank you so much for your help!
OpenStudy (mertsj):
yw