it's not a joke to me

i dont get it. why do you have to say things like that all the time? everyday, dropping me off at school, you always have to say at least one of the following:

- come home right after school
- dont hang out with boys
- get 100%
- you have to beat everyone else
- make sure you ace that test
- do you know how hard it is to get into waterloo?
- waterloo wants really smart kids
- you better study hard if you want to get into waterloo
- doesn't the teacher care if you're late?
- stop hanging out with people after school
- if you dont do this im giving your dog away
- when you come home, im going to yell at you

and then, of course... when im about to get out of the car, you just have to say
- i love you

as i slam the door shut......and i wonder to myself when i'll be able to say it back...
then i have to try and keep myself together while i run across the field to get to school on time, and not think about anything you said to me during the last 20 seconds of the car ride.


and then......at dinner time, you have to say at least one of the following:

- did you beat everyone on that test?
- why aren't you getting a 90 average?
- are you interested in being a doctor?
- are you tired?
- you should have slept earlier
- why do you look so tired?
- pack your own lunch in the mornings
- do you exercise?
- you need to exercise
- you're fat
- you've gotten skinner
- so, you want to be a doctor right?
- or some mean joke that you think is funny

i cant get away without causing trouble..... i have to sit there and just ignore you talking.... when i've already told you so many times that i want to be an engineer and i thought that was enough for an asian family. i thought that being an engineer would make you happy... and since it's what i want, i thought that it would make you happy...but you keep suggesting otherwise. and why do you have to comment on my "fat"? some days you feel like calling me skinny or fat or whatever, and then you go and tell me to exercise when you dont even know that i exercise everytime you leave the house, when you're not around because i dont want to hear you talk to me about exercising. what do you know about staying fit? you're always eating the unhealthiest foods, and you barely do any exercise yourself. why are you telling me to do things that i'm already doing? do you want me to be insecure and self-conscious? because im not. just because i choose not to let that affect me doesnt mean you can keep trying to force your ideas on me. stop it. i don't appreciate this. ugh. and you dont listen. ever.

you want to know why we arent as close and loving as you want us to seem?
because you dont put in the effort to care. you say that you love me, but there's no proof. the truth is, you're human. and humans are selfish and lazy. loving someone takes effort, and consideration. you think that just by saying that you love me means anything? maybe i'm being too harsh, maybe i'm overlooking the good and just focusing on the bad. but you dont understand me, and you dont even bother listening to me when i try to explain why i'm feeling the way i do.

take today for example, we went out for dimsum after my math exam. i thought it was going to be great, spending a lunch with my parents, relaxing after the exam and stuff..... but then you bought a newspaper and then you both took the newspaper and read it.. while i just sat there twiddling my thumbs, waiting for food to come........ i know i dont talk a lot.. and i like to just enjoy one's company without having to speak.. but you dont have to act like i'm not there... and when i try to tell you about my exam or how my day was and stuff all you do is continue reading...... as if im not speaking.. and when you realize that yes, i am speaking to you, you barely listen to the words i'm saying, and just continue reading while going mmm  (at the wrong times) and when i ask you a question i dont get a response because you were only pretending to pay attention.  then the food comes and i just eat and still nooone speaks to me. and i'm just eating.... so im fine. and then you ask me if im tired and i say no. so we just eat and little conversation happens.. and then out of the blue you tell me to go home and sleep. and then i got a bit worked up and upset because i already told you that i wasn't tired. and you get all angry that i'm upset. and then im trying to explain myself to you and you just tell me not to express myself that way and you tell me to calm down because you dont want everyone else in the restaurant staring and thinking that we're crazy. well i dont care what other people think of us. i dont care about "face" and reputation. i dont give a damn. i just want you to listen to me and actually love me. you want to know why i get worked up so easily over the things you say? it's because i want so badly the same things you do - a happy healthy relationship with you..but all you do is push me away and put in the minimal effort yu think will be enough. i've tried so hard to be patient with you all this time. maybe thats why you dont understand why i got worked up today. maybe i've been hiding it too well. honestly, sometimes i just filter out the mean things you say, and i force myself to believe that you didnt mean it personally, and of course you love me and you would never mean to hurt me like that. but sometimes i feel like i'm only fooling myself.

so tell me, what do you want me to do? put in the effort for you?i've already told you that some things you say are hurtful, and you just keep repeating them. you laugh like i'm joking. it's not a joke. i am not laughing. why are you laughing? do you think it's funny that we're not the family you want us to be? sometimes i laugh like i'm crazy too. but i laugh because of how stupid this situation is, and i laugh because i dont want to cry. ugh just when i was feeling like it might not be so bad if i stayed and went to ryerson instead of going off away from home next year, you just have to go ahead and make things worse, and remind me of all the reasons why i want to leave. and stay away from you. please, give me a reason to keep loving you.

callipygous

look it up ; )

Cheat Sheet

If i were allowed one page covered with anything on it.. to bring into my math exam..this would be it:

OR THIS! its more organized, and has more stuff... maybe

if you cant see the sides, feel free to just save as.. and then rotate the picture in whatever program you use to view pictures!

now, to ensure that i'll remember this, i'm going to watch an episode of big bang theory.. and then rewrite all the equations by memory! see if i remember anything

Exam Review!

FINAL REVIEW!!

This is the exam format:

1. sketching a trig function
2. polynomial function sketch (2)
3. sketching a rational function
4. finding the equation of a function
5. asymtotes (vertical, horizontal, oblique)
6. domain/range, even/odd functions
7. inverse of a function
8. remainder theorum
9. rational roots theorum, synthetic division
10 - 11. solving
12. composite of a function
13. solving
14. prove
15. CAST rule and trig formulas
16. solving
17. evaluate log (2)
18-19. solving
20. exponential function application
21. application of a sin function
22. average/instantaneous rates of change



some tricky questions from the final exam (from previous years)

unit 8 - limits and rates of change

quick review:

this equationis really just  (equation at point 1) - (equation at point 2) all over  change in time (point 1-2)

so basically points 1&2 are numbers that are plugged into the variable(s) in the equation. (numerator)
then you find the difference between points 1&2... and this is your denominator


instantaneous rate of change - just make point 2, 0.1 or 0.01 greater than point 1.

average rate of change - the two points should be given.



limits.. is hard to explain.. lol..

lim                some equation/(x+h) - x
h->0  

lim                       some equation/h
h->0

lim                        simplify equation until you can cancel out the h in the denominator.
h->0

then plug in h as zero.

there's your general slope of the tangent to the equation.

to find the equation of the tangent to the equation,

plug in the given coordinates into y = mx+b, with m as the general slope you found earlier.

find b

then rewrite the equation without the points

y = mx+b    plug in m and b values!

tada!

Unit 7 log functions

quick review:

couldnt move this to the end T_T , i forgot how i did this on the test lol and i dont get what i did! ahh

In is just log base e

 applications of log:

basically take the exponent of 10, and multiply that number by twn to get your loudness.

why is this sideways?!!! ugh.. i didnt get this on the test, and im not sure if i got it right? sooo blahh  looking for the domain.

tricky question - another domain one:

remember that any number to the log base that same number is just the main number? lol

In is log base e!

what a beautiful day

and im stuck inside studying for my math exam T_T booooo


sigh...

Unit 6 Solving Trigonometry Formulas

quick review:

related angle identities (involving 0, pi, and two pi):

the first picture is a circle on a graph, with point P as the starting point, and P' (P prime) as the new point. basically, you look at the original x or y value (depending on what you're looking at) and then you look at the new respective x or y value, and see how it has changed. er.. as you look at the graph and then the box below with the identities, it should make more sense. you should be able to derive these identites yourself, from the graphs...but if you can not remember how the graphs work, then it would be better to memorize.

this is the graph:

these are the identites derived from the graph above.

this is a graph showing a reflection about the origin:

and it's corresponding identites:

where two pi minus theta... or reflection along x-axis

corresponding identities:

same graph as above, but this one shows the even and odd functions:

even/odd function identites:

these are co- related angle identities (so involving 0, 90 and 270 degrees)
reflection along y = x axis

corresponding identites, y = x axis :

this one is on the other side...

these two are for 270 degrees... same idea, so no graph =D

addition and subtraction of angle formulas:


addition of cos:

subtration of cos: note the different signs, and that cos and cos are together, sin with sin.(always for cos)

addition of sin, note the signs are the same, but sin is with cos.

subtraction of sin: for sin, the sign is always the same, and it is always sin with cos.

addition of tan: the top signs are always the same, the bottom are always opposite.

subtration of tan: top signs same, bottom opposite.

Double and half angle formulas:

for sin:

cos has three identites for double angles:

half angle formula for cos:

double angle formula for tan:

half angle for tan: (sorry, i dont know why it's sideways)

unit 5 basic trigonometry

quick review:

two special triangles we must remember, useful when being asked to solve for theta.
this one's easy to remember... both corners are 45 degrees, and it's one-one - root (two)

you can come up with the angles as long as you remember the numbers, and where they are. you can just test for tan root (three) = 60. and you'll know to put the 60 across from the root (three).

this is useful when being asked to solve for questions involving a wheel, calculating # of revolutions, velocity, etc. (angular velocity)

 converting radians to degrees, or degrees to radians... this can be remembered by knowing that 180 degrees is equivalent to pi. then you just cancel out the pi to get degrees. or you can divide the degrees over 180 and multiply that by pi to get the amount in radians.

  this is a tan graph. the cotangent graph is the same, but shifted 90 degrees to the right(or left) and flipped along the x axis (so the arrows change signs (pos-> neg, neg->pos), and point in the opposite direction).

 this is a sine graph and a cosecant graph, csc is the inverse of sin so you can see it below:

out of the three main types of identities, reciprocol, quotient, and pythagorean, pythagorean is the hardest to remember! These are important to know, so that proofs will be MUCH easier and faster to solve.

this one is probably not on the exam, but it was talked about.. so maybe it'll be on the exam? if not, good to know! this is called the root mean square, and is used to find varying alternating currents.

question 10 is one i have trouble with (i know 9b is circled, but i solved it =D):

this is the equation i got for the application of a sin/cosine graph.... and it was right.

so why couldn't i solve this? i got a very large number.... 390ish mins. odd? where did i go wrong...?


ok so i found out.. that ... i was in either the wrong calculator mode (supposed to be in rad) OR i could have used 360 degrees instead of 2pi. =) problem solved.