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.
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.
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.
Im a little confused on number 35. I understand how to set it up, i just dont know how to go about solving it.
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
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.
BTW, thanks Ashwin!
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.
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.
Could someone help me with number 66 on the review? Also, what's James's method?
Justin, James's method is basically thwe book method for example 2 on 11.6:)
on the review page 707 #63 how do you find the new domain since the original domain goes from -infinity to infinity
Mrs. Johnson teaches math at Metea Valley High School in Aurora, IL.
Ap Ab Calculus
H Algebra 2 Trig
H Pre Calculus
Regular Pre Calculus