H Pre Calculus 10.7 and 11.6 HW

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H Pre Calculus 10.7 and 11.6 HW

4/19/2011

Parametrics and Partial Fraction Decomposition

Chandan Yashraj

4/19/2011 09:37:21 am

For number 17 in 11.6, how is there an x in the final answer? I found the A value, and tried finding the B value using the method that the book uses by plugging in values for x, but I got -1/3 for it. If someone can explain why there's an x, that would help.

Ashwin Chakilum

4/19/2011 01:01:55 pm

@Chandan Yashraj
#17, 11.6

The two fractions that you model with A and B are only the more simple fractions decomposed from the original rational function.

Why wouldn't there be an x? After all, x is included in the polynomial of the original denominator. If the x is not in the solution, then let the sky turn green.

Ashwin Chakilum

4/19/2011 01:04:11 pm

Ehh... main point:
What you substitute for x to derive A and B doesn't apply in the end. As long as you have A, B, and your fraction models decomposed from the rational function, you are good to go.

Sohaila M

4/19/2011 02:52:47 pm

Im a little confused on number 35. I understand how to set it up, i just dont know how to go about solving it.

Shivani D.

4/19/2011 02:54:46 pm

Hey guys:)
Can someone show me how to solve 19? I get 1/2 for all of them and -1/2 for c, but the book has 1/4 for A,B,and D, and -1/4 for C

Chandan Yashraj

4/19/2011 03:44:07 pm

@sohaila

Yea, I'm having the same problem, but for me it's for starting the entire thing. How would you factor the denominator...? Same goes for number 36.

Chandan Yashraj

4/19/2011 03:44:36 pm

BTW, thanks Ashwin!

Shivani D

4/19/2011 04:29:54 pm

Chandan and Sohaila,
For number 35, you use the rational root theorem to get your factors. Then you should be able to decompose it into A/(X-2) + B/(X-1) + C/(X-1)^2. Then you can solve this in either James's or Mrs. Johnson's method.

Shivani D

4/19/2011 04:30:50 pm

And nevermind about 19, I got it:)
P.S. If you use James's method, it's easier to not get mixed up, since with the systems one, you can make silly mistakes.

Justin Temple

4/20/2011 01:26:45 pm

Could someone help me with number 66 on the review? Also, what's James's method?

Shivani D

4/20/2011 02:09:01 pm

Justin, James's method is basically thwe book method for example 2 on 11.6:)

maddie s

4/20/2011 02:45:54 pm

on the review page 707 #63 how do you find the new domain since the original domain goes from -infinity to infinity

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H Pre Calculus 10.7 and 11.6 HW

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