Re: column overflow at times --- any thoughts?

[David Arnold <dwarnold45@cox.net>]

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Taco,

Nice try, but didn't help.

On Aug 3, 2006, at 12:08 AM, Taco Hoekwater wrote:

> \displaywidowpenalty0\brokenpenalty0

The difficulty might be that Exercise #27 is in a textblock.

% Exercise #27
\beginquestion
\startquestion[ex:secqu.27]
$f(x)=\sqrt{x+5}$.
\stopquestion
\endquestion

\beginlonganswer[]
\startanswer
\stopanswer
\endlonganswer

\beginshortanswer[]
\startanswer

$\text{Domain}=[-5,\infty)=\{x:\,x\ge -5\}$

\startbuffer

%initialize scale
numeric u; 20u=2in;

%draw axes
\includeMPgraphic{1010_xy_axes_ti}

%define function
vardef f(expr x)=
sqrt(x+5)
enddef;

%create function path
path p; p:=(-5,f(-5));
for x=-5 step .1 until 10:
p:=p--(x,f(x));
endfor;
p:=p--(10,f(10));
p:=p scaled u;
drawarrow p withcolor blue;
label.rt(btex $\tfx f$ etex, (10,f(10)) scaled u);

%create projection domain
for x=-5 step 1 until 10:
drawarrow ((x,f(x))--(x,0)) scaled u withcolor green;
endfor;
pickup pencircle scaled 2pt;
drawarrow (-5u,0)--(10u,0) withcolor red;
pickup defaultpen;
filleddotred((-5u,0));
label.bot(btex $\tfx -5$ etex, (-5u,0));
\stopbuffer

\startlinecorrection[blank]
\midaligned{\processMPbuffer}
\stoplinecorrection

\column                   <--------------------Taco, inserting a  
column break works, which is what we'll probably do

$\text{Range}=\{y:\,y\ge 0\}=[0,\infty)$

\startbuffer

%initialize scale
numeric u; 20u=2in;

%draw axes
\includeMPgraphic{1010_xy_axes_ti}

%define function
vardef f(expr x)=
sqrt(x+5)
enddef;

%create function path
path p; p:=(-5,f(-5));
for x=-5 step .1 until 10:
p:=p--(x,f(x));
endfor;
p:=p--(10,f(10));
p:=p scaled u;
drawarrow p withcolor blue;
label.rt(btex $\tfx f$ etex, (10,f(10)) scaled u);

%create projection domain
for y=0 step 1 until 3:
drawarrow ((y*y-5,y)--(0,y)) scaled u withcolor green;
endfor;
for y=4 step 1 until 10:
drawarrow ((10,y)--(0,y)) scaled u withcolor green;
endfor;

pickup pencircle scaled 2pt;
drawarrow (0,0)--(0,10u) withcolor red;
pickup defaultpen;
filleddotred((0,0));
label.lft(btex $\tfx 0$ etex, (0,0));
\stopbuffer

\startlinecorrection[blank]
\midaligned{\processMPbuffer}
\stoplinecorrection

\stopanswer
\endshortanswer



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