1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

*HELP*Investigate Values of m in lR where cosx=mx has 2 Solutions

  1. Jan 15, 2009 #1
    1. The problem statement, all variables and given/known data

    (a)Carefully draw graphs of y=cosx, y=x, y=(1/5)x
    (b) From the graphs, determine how many solutions the equation cosx=mx has for m=1 and m=1/5
    (c) Add a sketch of y=mx onto your picture, where m is chosen so that cosx=mx has exactly two solutions. (without computing the value of m)
    (d) Use your sketch to estimate the correct value of m
    (e) why is it true that the value of -m will also give exactly two solutions to cosx=mx?
    (f)Is it possible to find a value of m such that cosx=mx has exactly three solutions? four? n?
    Explain by sketching y=cosx and y=mx for relevant values of m

    3. The attempt at a solution
    A hint was given to us by the prof:
    "you should draw all your graphs on just one diagram like: (the attachment)"


    Okay, so I don't have a problem drawing the graphs,but for part (b):confused: and rest:eek:
    Please Help:redface:
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Jan 15, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    If you are able to do a, why does your 'attempt at a solution' not show that at least?
    If you can in fact draw the graph in (a) all you have to do to answer (b) is look at that graph and count the number of times one graph crosses the other.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: *HELP*Investigate Values of m in lR where cosx=mx has 2 Solutions
Loading...