OpenStudy (brinazarski):

Can someone help me with this question? I'm thinking the answer is 3000, but I have no logical reasoning for that answer other than the fact that it's a guess (thinking that because of the difference between the two numbers... I don't think it would have any other number besides one particular number and a few zeros.) http://i158.photobucket.com/albums/t120/brinazarski2/q_zps349788d3.png

6 years ago
OpenStudy (brinazarski):

I also tried graphing it, but graphing doesn't help much since I would have to count all the times the equation crosses the x-intercept, and that's a loooot of counting... I'm assuming there's a faster way

6 years ago
OpenStudy (brinazarski):

What is that faster way?

6 years ago
OpenStudy (brinazarski):

Oh... I guess that kinda' makes sense. So the answer is E, then?

6 years ago
OpenStudy (brinazarski):

Okay!

6 years ago
OpenStudy (anonymous):

It has 3536 zero point, so 3300 is fine, but not because it has infinite

6 years ago
OpenStudy (anonymous):

the interval is 0.001-0.0001=0.9*10^-4. so the if we check sin(1/x) zeropoints its 1/x=k*Pi, x=1/(k*Pi). if we solve 1/(k*Pi)=0.9*10^-4 equation, we get 3536

6 years ago
OpenStudy (brinazarski):

What's that formula called? Or what part of math is this? (I'm assuming Pre-Calc, we do different types of math in my class lol)

6 years ago
OpenStudy (anonymous):

well its easy, the zero points of sin(x)=0, x=k*Pi, so sin(1/x) has 1/x=k*P. k is an integer, k is the number of zero points

6 years ago
OpenStudy (brinazarski):

Oh wow, cool. Thank you!

6 years ago