Worksheet 7.5—Partial Fractions & Logistic GrowthLogistic.pdf · Calculus Maximus ...
Partial Fractions
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Transcript of Partial Fractions
Partial Fractions• +/- two or more fractions • convert fractions into partial fractions• convert improper fractions into partial fractions
Review
http://www.mymaths.co.uk/tasks/library/alevel/lib/loadLesson.asp?title=alevel/core4/PartialFractions/partial1Simplify&taskID=2200
An expression with 2 or more linear terms in the denominator can be split into 2 or more simpler fractions
3
+ the fractions
equate the coefficients of the numerators
solve simultaneous eqns
+ the fractions
equate the coefficients
solve simultaneous eqns
METHOD 2 - substitution
+ the fractions
equate the numerators
susbstitute the solns of each denominator for x
An expression with repeated linear terms in the denominator needs to be split into fractions as shown......
Improper Fractions
highest degree of the numerator is equal to or greater than that of the denominator
we must the fraction first to get a whole number and a proper fraction before converting into partial fractions
Express in partial fractions
Summing up