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Mathematics 8 Online
OpenStudy (anonymous):

please help me out

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?

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?

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.

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):

\[\cos x=0, x=\frac{\pi}{2}, \frac{3\pi}{2}\]

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):

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.

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

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.

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

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

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