Pre-Cal 40S Wiki Solutions Manual http://pc40s.pbwiki.com/ This wiki is a collaborative solutions manual built by the student's in Mr. Kuropatwa's grade 12 precalculus math class. Don't you just love this wiki math stuff? en http://pc40s.pbwiki.com/feedlogo.gif PBwiki http://pbwiki.com/ PBwiki 1.3.8 support@pbwiki.com FrontPage http://pc40s.pbwiki.com/FrontPage email.hidden@example.com (Darren Kuropatwa) Darren Kuropatwa edited FrontPage]]> Wed, 17 Oct 2007 16:08:20 +0000 mod FrontPage http://pc40s.pbwiki.com/FrontPage email.hidden@example.com (Darren Kuropatwa) Darren Kuropatwa edited FrontPage Pre-Cal 40S Wiki Solutions Manual
only. Note:
Note: All solutions have been generated by students and have not been "corrected." Some of them are correct and some are not. It is up to the reader to verify the accuracy of any solution found on these pages.
This is a place for students to help each other learn by writing a collaborative solutions manual! This counts for marks. You must make at least two edits/contributions to the wiki. One must be a significant contribution and the other must be a constructive modification. Here is what you have to do:
A Significant Contribution means ...
]]> Wed, 17 Oct 2007 16:02:08 +0000 mod FrontPage http://pc40s.pbwiki.com/FrontPage email.hidden@example.com (Darren Kuropatwa) Darren Kuropatwa edited FrontPage
! Pre-Cal 40S Wiki Solutions Manual

This wiki is now closed. It is open for viewing only.

**Note:** All solutions have been generated by students and have not been "corrected." Some of them are correct and some are not. It is up to the reader to verify the accuracy of any solution found on these pages.

This is a place for students to help each other learn by writing a collaborative solutions manual! This counts for marks. You must make at least two edits/contributions to the wiki. One must be a **significant contribution** and the other must be a **constructive modification**. Here is what you have to do:

!!! A Significant Contribution means ...

]]> Thu, 04 Jan 2007 14:39:21 +0000 mod ExponentsAndLogs http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (aldridge) aldridge commented on ExponentsAndLogs i dont know what happened to the comment i leave before but i hope this is enough for the constructive modification part cause its hard for me to explain again this stuff. sorry for not asking your permission cause its almost a few munites before the deadline.]]> Sun, 04 Jun 2006 23:31:16 +0000 com ExponentsAndLogs http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (aldridge) aldridge commented on ExponentsAndLogs I don't know what happened to the coment that i leave here a few seconds ago but I want to make a comment for the one who did problem 3 of 3, i cannot write everything i wrote before but what i want to say is that the question is asking for the time between after the treatment and the colony to reach 12600. i got 105.93 hours as an answer for that.]]> Sun, 04 Jun 2006 23:28:44 +0000 com FrontPage http://pc40s.pbwiki.com/FrontPage email.hidden@example.com (aldridge) aldridge commented on FrontPage well i'm leaving this comment for the problem 3 of 3. I think the first thing you need to do is to determine the population of the colony before Dr. Mc Coy treats the colony with an agent that slows the colony's rate growth which is after 4 hours since the beginning of the experiment (I got 2560 for that) .starting from this new colony population, you need to determine how long it will take the size of the colony to reach 12600 (thats from 2560 to 12600 because the question is asking how long after the treatment will the size reach 12600). using your formula, you can make A=12600(final amount), Ao=2560(initial amount), m=1.2(growth rate of 20% per period) and p=12(3 times the original period to reach your growth rate and this is much easier than determining the new growth rate). now the missing value is t or time. using those value in the equation, you can now get the time. In my answer, I got 105.93 hours long it took the colony to reach 12600 population after the treatment. sorry for not asking you permissi]]> Sun, 04 Jun 2006 23:23:59 +0000 com ExponentsAndLogs http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (Jacky S.) Jacky S. edited ExponentsAndLogs
<font color="red">x<sup>2</sup>+8x+16=-9x</font>

-bring the -9x over to the other side

<font color="red">0=x<sup>2</sup>+17x+16
0=(x+16)(x+1)</font>

<font color="red"> - X is rejected for both of them because in the original equation, 2log<sub>3</sub>(x+4) - log<sub>3</sub>(-x) = 2, it is negative</font>
Good try both of the previous problem solvers. I think i got the solution.

]]> Sun, 04 Jun 2006 23:08:42 +0000 mod ExponentsAndLogs http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (Jacky S.) Jacky S. edited ExponentsAndLogs
-Since 3 is the base, you would take 2 as the exponent

<font color="red">x<sup>2</sup>+8x+16/-x=3<sup>2</sup>

<font color="red">x<sup>2</sup>+8x+16/-x=9</font>
-cancel the denominator, by multiplying -x by both sides

x<sup>2</sup>+8x+16=-9x
<font color="red">x<sup>2</sup>+8x+16=-9x</font>
-bring the -9x over to the other side

<font="red">0=x<sup>2</sup>+17x+16

]]> Sun, 04 Jun 2006 23:07:25 +0000 mod ExponentsAndLogs http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (Jacky S.) Jacky S. edited ExponentsAndLogs
<font color="red">log<sub>3</sub>((x+4)<sup>2</sup>)/-x=2</font>

-Expand the binomial

<font color="red">log<sub>3</sub><(x<sup>2</sup>+8x+16>)/-x=2</font>
-Since 3 is the base, you would take 2 as the exponent

<font color="red">x<sup>2</sup>+8x+16/-x=3<sup>2</sup>

-cancel the denominator, by multiplying -x by both sides

x<sup>2</sup>+8x+16=-9x

0=x<font="red"sup>-bring the -9x over to the other side2</sup>+17x+16
ExponentsAndLogs
<font color="red">x<sup>2</sup>+8x+16/-x=9

-cancel the denominator, by multiplying -x by both sides

x<sup>2</sup>+8x+16=-9x

<font="red">-bring the -9x over to the other side

0=x<sup>2</sup>+17x+16

0=(x+16)(x+1)</font>

<font="red"> - X is rejected for both of them because in the original equation, 2log<sub>3</sub>(x+4) - log<sub>3</sub>(-x) = 2, it is negative</font>

Good try both of the previous problem solvers. I think i got the solution.

]]> Sun, 04 Jun 2006 23:02:22 +0000 mod ExponentsAndLogs http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (michael d) michael d edited ExponentsAndLogs
-cancel the denominator, by multiplying -x by both sides

Good try both of the previous problem solvers. I think i got the solution.

2log<sub>3</sub>(x+4)- log<sub>3</sub>(-x)= 2

expand the equation:

2log<sub>3</sub>x + 2log<sub>3</sub>4 - log<sub>3</sub>(-x)= 2

move the x terms to one side:

2log<sub>3</sub>x - log<sub>3</sub>(-x) = 2 - log<sub>3</sub>4

factor out x:

x(2log<sub>3</sub>1 - log<sub>3</sub>(-1)) = 2 - log<sub>3</sub>

By looking at the equation now, you can notice that there is a log<sub>3</sub>(-1). We know that there is no such solution. Since we know that the expression is false, there is no w
]]> Sun, 04 Jun 2006 23:00:35 +0000 mod ExponentsAndLogs http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (AnhD) AnhD edited ExponentsAndLogs
<img src=/f/untitled.bmp width=70% height=70%>

<img src=http://pc40s.pbwiki.com/upload.php?pp=5&setPerPage=10>
<img src=/f/wikicon.JPG>
]]> Sun, 04 Jun 2006 22:49:27 +0000 mod ExponentsAndLogs http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (AnhD) AnhD edited ExponentsAndLogs
x = 0.282

<img src=http://pc40s.pbwiki.com/f/untitled.bmp wikicon.JPGdth=70% height=70%>
<img src=http://pc40s.pbwiki.com/upload.php?pp=5&setPerPage=10>

]]> Sun, 04 Jun 2006 22:48:49 +0000 mod geometric sequence-1.bmp http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (aldridge) aldridge renamed geometric sequence-1.bmp geometric sequence.bmp ]]> Sun, 04 Jun 2006 22:48:46 +0000 mvf geometric sequence-1.bmp http://pc40s.pbwiki.com/f/geometric+sequence-1.bmp email.hidden@example.com (aldridge) aldridge uploaded geometric sequence-1.bmp]]> Sun, 04 Jun 2006 22:48:39 +0000 upl geometric sequence.bmp http://pc40s.pbwiki.com/f/geometric+sequence.bmp email.hidden@example.com (aldridge) aldridge uploaded geometric sequence.bmp]]> Sun, 04 Jun 2006 22:44:46 +0000 upl ExponentsAndLogs http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (AnhD) AnhD edited ExponentsAndLogs [ExponentsAndLogs] [ExpandLogs|Learning Objectives]
! Problem 1 of 3

x = 0.282

<img src=http://pc40s.pbwiki.com/f/wikicon.JPG>

]]> Sun, 04 Jun 2006 22:44:37 +0000 mod wikicon-1.JPG http://pc40s.pbwiki.com/ExponentsAndLogs email.hidden@example.com (AnhD) AnhD renamed wikicon-1.JPG wikicon.JPG ]]> Sun, 04 Jun 2006 22:42:13 +0000 mvf wikicon-1.JPG http://pc40s.pbwiki.com/f/wikicon-1.JPG email.hidden@example.com (AnhD) AnhD uploaded wikicon-1.JPG]]> Sun, 04 Jun 2006 22:42:09 +0000 upl wikicon.JPG http://pc40s.pbwiki.com/f/wikicon.JPG email.hidden@example.com (AnhD) AnhD uploaded wikicon.JPG]]> Sun, 04 Jun 2006 22:41:08 +0000 upl