The Yahoo! Answers webservice is not actually SOAP, but is REST-based.
See, for example, the documentation for the question search method. For your sample search for "economics", the call would look like:
http://answers.yahooapis.com/AnswersService/V1/questionSearch?appid=your-appid-here&query=economics
which will return (snippet):
<?xml version="1.0" encoding="utf-8" standalone="yes" ?>
<ResultSet xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="urn:yahoo:answers" xsi:schemaLocation="urn:yahoo:answers http://answers.yahooapis.com/AnswersService/V1/QuestionResponse.xsd">
<Question id="20080829001109AAOc4h9" type="Answered">
<Subject>Economics...?? ?</Subject>
<Content>HSC economics? i have a choice to do economics and i really have no idea what it's about, i am aware it is about money and finance however i am a bit vague with the subject, can any one shed some light on the subject??
thanks for your help.
</Content>
<Date>2008-08-29 00:11:09</Date>
<Timestamp>1219993869</Timestamp>
<Link>http://answers.yahoo.com/question/?qid=20080829001109AAOc4h9</Link>
<Category id="396545359">Higher Education (University +)</Category>
<UserId>LJHkcrxcaa</UserId>
<UserNick>Sam</UserNick>
<UserPhotoURL></UserPhotoURL>
<NumAnswers>2</NumAnswers>
<NumComments>1</NumComments>
<ChosenAnswer>Most people misunderstand what Economics is all about. It is not particularly similar to accounting or finance. Businessmen can benefit from understanding it, but it is not "business." Rather, Economics is a Social Science concerned with understanding how humans allocate scare resources. What goods and services do we produce? How much of each good or service do we produce? Who does the producing, and who does the consuming? Do we ever choose not to produce (for example in order to conserve a natural resource because we value it for it's own sake)? How do we decide these things? Etc. That is what Economics is about. I personally find it a very interesting subject, though it takes some effort at first.</ChosenAnswer>
<ChosenAnswererId>Gjj5eCG6aa</ChosenAnswererId>
<ChosenAnswererNick>RCM</ChosenAnswererNick>
<ChosenAnswerTimestamp>1220067546</ChosenAnswerTimestamp>
<ChosenAnswerAwardTimestamp>1226969668</ChosenAnswerAwardTimestamp>
</Question>
...
</ResultSet>
If you want to go this route, you'll need to sign up for an AppID key. That will help avoid the rate limiting issue.
Another good alternative (also more future-proof) is to access the Answers API through YQL, with a sample query like the following:
select * from answers.search where query="economics"