HERE IS THE FULL KEY. I brought home an older version of the key by accident, so if you see any possible errors please let me know.
EXTRA CREDIT FOR YOU IF YOU FIND AN ERROR!
Also, PLEASE feel free to email me if you have any questions. You could also call me @ home 952-210-6795 if you need to. I'm playing tennis at 6:00 so I won't be able to respond to you from about 5:30-8:00.
Hope this works for you.
QUESTION LOG:
On #45:
F(x)=(square root x)+3
G(x)=x2 -3
You restricted it as
(0, infinity)...but shouldn't it be (including -3, infinity)?
Answer: The best way to answer this question is with the graphs. Notice that in order to make the graph a true reflection over the line y=x, that you'd need to cut it at the vertex, which happens when x=0.
Also #31:
I did it twice and got 4x-20(square root x)+1, and you posted 4x-20(square root x) +25
Answer: I think the problem comes when evaluating -12(sqrt(x)-1)...you should get -12sqrt(x)+12, which will then give you 25 for the constant.
#48: How are they inverses if they're the same equation...? I'm confused! :(
Answer: Well, if you take f(g(x)) you should get x, right? And also g(f(x))=x...and really that is the way you would verify that they are inverses. Also, if you look at the graph, you would see that it would reflect onto itself over the line y=x (assuming f is restricted to [0,3]. It doesn't happen very often, but this is a case where a function is an inverse of itself.
Nov 23, 2008
Tri One Review Key
Nov 22, 2008
Nov 19, 2008
Chapter 2 2H Key
Sorry, scanner is not available, so I'll do my best to let you know what's up here.
First page:
Reals include rational and irrational, irrational is just irrational. Remember that complex numbers include REAL and IMAGINARY and COMBINATIONS of the two. Review number structures. Here's the Powerpoint if you want to look at it again.
#4&5) Check this powerpoint.
#6&7) Don't worry about these too much right now.
8-12) Check your work w/graphing calc
13-14) Divide and disregard remainder.
13) y=x^5-x^4-x^3-x^2-x+2
14) y=x^2-x
15) Consider these!
20) (-inf,-3)U(5/2,inf)
21) (-inf,-2]U[-1,2]
22) (-inf,-2)U(-1,inf)
23) [-5,-3)
24) (-1,1)
25) (-inf,-8)U(-6,4)U(6,inf)
26) (-inf,1/2]U[2,inf)
27) (1/2,1]
28) (-inf,1/4)U(2,inf)
29) The first 6 seconds. Set up the inequality -16t^2+96t+190>190
30) The first 3 seconds.
31) (x+3)(x-5) gives you critical values at -3 and 5. Just decide on the type of inequality.
***I'll be up until about ten. If you have questions email me or you can call my cell if you want: 952-210-6795. I don't care if it's wierd. Do it if you need to!!!
Nov 5, 2008
Chapter 2 1H Review Key
Here is the review key. Looks like when I made this I was only finding the real zeros for #13-18. The only one with a complex zero is #15, with a complex zero of +/- i.
Nov 4, 2008
New Resources Avaiable!
For Geometers and HP Precalcers! Look to the right for new stuff!
Precalc - you have the in-class powerpoints and worked out solutions.
Geometry - you have answers and required skills keys.
Oct 23, 2008
Update (October 23, 2008)
Hey Guys, Sorry for the slaggage from Thompson on the site. 0_0 Well here's the updated stuff for Geometry. Do Harry a favor and pick up after your self. The rooms getting messy.lol.
Oct 6, 2008
Oct 2, 2008
Precalc Chapter 1 Solutions
Here are the chapter 1 solutions. Remember, it's probably easier to right-click and 'save as.'
Also, note that the powerpoints are to the right in the downloads sections.
Sep 24, 2008
Sep 16, 2008
Sep 15, 2008
HP Precalc - CSP Key
Hey folks I found the RIGHT key from last year. The copy room is closed so I'll scan it in and put it up tomorrow. Quiz isn't too long so I'll show it to you in the morning...SORRY!
Sep 10, 2008
Jun 5, 2008
Jun 2, 2008
HP Precalc Final Review
OK, my regular uploading site, fileden, isn't working, so this is a band-aid and hopefully I can come up with a better link tomorrow. I'd prefer a direct link, but this will have to do.
Click here to download the review.
May 28, 2008
LImits Review Key
Click your mouse here for key.
Problem with #10 - should be 1/40.
Skip #14-16
Anything with absolute value or any piecewise defined functions can be analyzed with a calculator.
May 27, 2008
May 6, 2008
Geometry Solutions
From the review in the back of your study guide...
1a)r=2,d=4
1b)r=2,d=4
1c) (5,2)
2a)r=2,d=4
2b)yes, they're both 4 units
2c)x=5,y=0,y=4
2d) (5,2)
3a)r=2,d=4
3b) (4,4)
3c)x=2,x=6,y=4
3d)y=x
4a) No...doesn't satisfy the Pythagoream Thm
4b)6
5) r=3
6a)60 feet
6b)68 feet
7a)70 degrees
7b)110 degrees
7c)180 degrees
7d)210 degrees
7e)70 degrees
7f)110 degrees
7g)yes
8)170 degrees
9a)34 seconds
9b)52 times
10a)7
10b)55 degrees
11a)10
11b)90 degrees
12a)They should be congruent
12b)118 degrees
13a)Not enough information to say it's a diameter
13b)Not enough information to say the arcs are congruent
14...1)Given
14...2)segment PT is congruent to segment QS
14...3)all of radii of circle U
14...4)SSS
15)see 14
16a)58 degrees
16b)52 degrees
17a)90 degrees
17b)58 degrees
17c)58 degrees
17d)96 degrees
18)w=65,x=66,y=115,z=114
19 [switched pictures]
19a)W and Z, X and Y
19b)No. 130+70=200, NOT 180
20...2)angle AED is congruent to angle BEC
20...3)inscribed angles intercept the same arc CD
20...4)AA Similarity
21)see 21
22a)82 degrees
22b)104 degrees
23) m<1=97 degrees, m<2=83 degrees, m<3=53 degrees, m<4=117 degrees
24)100 degrees
25a)12
25b)12
26a)9
26b)4
27)14.2 feet
28a) (x-2)^2+(y-5)^2=9
28b) (x-2)^2+(y-2)^2=4
29) (x-3)^2+(y+2)^2=841
30) SKIP!
31-33) Click here for the graphs!
Apr 29, 2008
This just in...
HP Precalc:
Test moved to Thursday.
Here are the worked out solutions for chapter 7. Remember, this is a pretty big file, so be patient and it may work better to right click and "save as."
