Recent content by m3dicat3d

  1. M

    MHB Polar Graphs and a question about their poles

    Thanks Petrus! Sounds as if I'm on the right track here. Yes, the intercept and loop questions we are working through, I just didn't include them here as I understand what we needed to do with those, and just focused on what I was unsure of. As far as the min @ -1 typo, were you referring...
  2. M

    MHB Polar Graphs and a question about their poles

    Thanks so much! Let me try to clarify here so I'm not explaining this to the person I'm trying to help incorrectly. Since the pole is analogous to the origin of a Cartesian system, we are finding the max and min values of r from the pole for the given function. In the case of a cosine...
  3. M

    MHB Polar Graphs and a question about their poles

    Trying to help someone out with their assignments on basic polar graphs. This first question is very easy to determine the poles from as the limacon has an inner loop. But when you have a limacon WITHOUT (below) an inner loop, how does the "max from pole" and "min from pole" figure? It's been...
  4. M

    MHB What is the correct slant asymptote for this function and why is it significant?

    Why is the slant asymptote pictured here correct for this function? I was under the impression an asymptote was never crossed by the function. I get that the dividend gives the equation for the asymptote for a non zero remainder, but seeing this graphically is a bit confusing. Thanks! (EDIT...
  5. M

    MHB Understanding the derivative of natural log function

    Re: understanding the derivative of natural log function Thanks for the reply, I just starting writing out a long winded reply as to what I didn't understand, and in the process I thought through the matter more and ended up understanding it haha! [moderator edit] The discussion regarding the...
  6. M

    MHB Understanding the derivative of natural log function

    Hope this is in the right place... I'm trying to understand why the derivative of ln(x) is 1/x while the derivative of something like ln(4) is 0. My knee-jerk reaction is to view 4 as representative of x, thereby giving me F'(x) ln(4) = 1/4, not 0. That would be the case, except ln(4) is a...
  7. M

    MHB Telling if a series is convergent or divergent?

    Just had a question from a coworker regarding how to tell if a series is convergent or divergent. Been a while since I've dealt with this so I thought I'd ask here. I *think* I remember that arithmatic series were convergent by nature, but a geometric series could be either convergent or...
  8. M

    MHB More than one equation for a given Trig Graph?

    Thanks MarkFL, I appreciate the encouraging words. I'm studying for my State certification exam to teach HS math here in TX, and I tutor HS students in the meantime. I'm no math genius by far, so when I ask some of my questions I sometimes feel they might be dumb (which no one here has made me...
  9. M

    MHB More than one equation for a given Trig Graph?

    Thank You! Thank You! Thank You! Thank You! Thank You! Excellent answer, and as I am still reviewing my Trig, I hadn't even considered the identity perspective of it... I can't stress enough how much having that perspective helps me even more with this... Again, Thank you... man this place...
  10. M

    MHB More than one equation for a given Trig Graph?

    Hi all.. another Trig question here... Let's say I'm given a graph of a sinusoidal function and asked to find its equation, but I'm not told whether this is a sine or cosine function and I'm left to determine that myself. I understand that evaluating where the graph intersects the y-axis is...
  11. M

    MHB The Unit Circle, the Sinusoidal Curve, and the Slinky....

    One more thing about the video link above... Is it me, or did the animator "forget" (so to speak) about right hand rule? I saw a couple of other comments about this at you tube, but no responses? Maybe there is something I'm forgetting about?
  12. M

    MHB The Unit Circle, the Sinusoidal Curve, and the Slinky....

    Thanks! I've always wondered about this! Even years after my degree lol. Yeah, with mapping projections that either highlight areal projections with more accuracy or geographic borders that reflect the shapes more closley, I see where you're coming from about projecting a sphere onto a plane...
  13. M

    MHB The Unit Circle, the Sinusoidal Curve, and the Slinky....

    Thanks everyone, both thread replies and pm's... hehe, I meant this strictly as an analagous scenario, as getting into materials science or the fact that the Earth is not perfectly spherical would likely complicate matters for my student. The other reason I've asked this though, is for my own...
  14. M

    MHB The Unit Circle, the Sinusoidal Curve, and the Slinky....

    I seem to recall when taking college Trigonometry my professor saying that the unit circle and sinusoidal curves were basically a mathematical represention of a slinky in that the unit circle was the view of a slinky head on, so that what you saw in the two dimensional sense was a circle, and...
Back
Top