[LON-CAPA-users] Rationalizing radical expressions to get a positive constant

Seema Ali sali at vsb.bc.ca
Sun Mar 17 14:08:39 EDT 2013


I'm trying to create a question that defines the domain and range of a square root function.  The students need to define a square root function with those properties.  I have it working for cases like:

sqrt(x-a) + b
c * sqrt(x-a) + b, where c>0

However I can't get it to work for sqrt(cx-ca) + b, where c>0

Below is the Math Response script I'm using.  I tried using wrapping the trigsimp() with float(), which worked in Maxima but not in Lon Capa.  Any suggestions are greatly appreciated.

<mathresponse cas="maxima" args="@custom" answerdisplay="<m eval='on'>c $answer</m>, where <m>c>0</m>">

boolNum : numberp(trigsimp((g(x)-b)/(f(x)-b)));
boolPos : trigsimp(trigreduce(factor(g(x)-b)/(f(x)-b))) > 0;

is(boolNum and boolPos);</answer>
    <textline readonly="no" />



>From Seema.
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