Okay, wow.....Yea
This week: powerpoint presentations and study guides...yipeee...fun *twirls finger nonenthusiastically*
Anyway, I pretty much wore out what I understood, so I can't really explain anything else. Also, I've been studying all weekend and I'm kinda like "duuuuuuuuuhhhhhhh *head hangs to side*" Yea, slightly braindead. Okay, but I will say this
I STILL DON'T GET OPTIMIZATION!!!! -.-
I feel like the stupid little kid that never understands how to spell the word 'cat' with a c not a k.
Also, those packets? I'm about to go cry...if that's what the exam looks like I KNOW I'm going to fail. I get half of it...the other half? Nope. Nada. Zip. Non. Zero.
Also, how is everyone studying for this exam? Doing the packet only? Doing the packet plus staring at your notes for 3 hours ineffectively? Nothing at all? I, for some reason, can't just study by doing the packet problems, or example problems, or just any kind of problems. I also can't study by staring at my notes. I need interaction. Think of me as a 2 year old...I won't get it if I stare at it....I need something to slowly state "That is a bike" over..and over...and over...and over...and over...and over...until I get it! -.-
Okay, I totally did not mean to whine...just merely type..and type..because I'm staring at the laptop screen as questions come to my head.....
*sigh* I guess I have to get off of the computer now and study for Calc, Chemistry, Ap Gov, Western Civ, English, AND the PSAT...by the way
For those of you who are taking the PSAT AND the Calc exam Wed...are you gonna ask your 7th hour teacher to move your exam? Maybe? Yes? No?
Okay..I'm done. I apologize for making you sit here and lose about 45 brain cells.
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hey ash, let me see if i can help you understand optimization.
ReplyDeleteThe first step is to find your primary and secondary functions. Your primary function will always be what they are asking for such as maximum area. Whatever is left is your secondary. Then you solve for one of your variables in the secondary, then you plug that variable into the primary.. after that you take the derivative and set it equal to zero and solve for the remaining variable. Then you plug that variable into the equation you plugged into for the first variable and then solve.
in short:
lets say you solved for y in your secondary.. you then plug y into your primary and solve for the x value. you will then plug the x value into the y value you found in the secondary...
hope this helps!
ok for the optimization question you have...lets look at number four on the test we just got back.....[3.7 Homework Quiz] out of 20points
ReplyDeleteso we know that we have a perimeter of 24 right...well to make your secondary and primary equation you make two squares...we know that the area of a square is lenth times width! and that there is two lengths and two widths for each square so your seconday equation will be 2(2L+2w)...that's your perimater because you're adding them...and since we know that the sum of the two perimeters is 24 you set 2(2L+2w) equal to 0!
so now...dealing with optimization:
take your secondary equation and solve for...lets go with length
2[2(L)+2(w)] = 0
24=4(L)+4(w)
24-4(w)=4(L)
(L)=6-w
so now plug in L to the primary equation which is your area...so that's
A=(L)(w)
A=(6-w)(w)
A=6w-(w)^2
TAKE THE DERIVATIVE OF THAT:
A'=6-2w
-2w=-6
w=3
SO NOW TAKE WHAT YOU KNOW....W=3....and PLUG IT INTO THE SECONDARY FORMULA:
24=2(2(L)+2(w)
24=2(2(L)+2(3)
24=4L+12
12=4L
L=3
so knowing your W is 3 and your L is 3
[it's a square so they had to be the same]
you know that the width is three and the length is three!!
okay, first you find your primary and secondary equations. the primary is the one you have to maximize or minimize, and the secondary is the other one. so first you take the secondary equation and you solve for one variable, if it wasn't already. So then, you plug that into the primary formula. so after you do that, you simplify it a bit, then you take the derivative of it and set it equal to 0 and you solve for the other variable. so then you plug that back into the secondary equation to find your other variable. and the end. hope this made sense to you.
ReplyDeleteso heres the steps for optimizaiton i knowyou probally have them but just to help you
ReplyDelete1 Identify primary and secondary equations your primary is the one your or maximizing or minimizing and your secondary is the other equation
2. Solve for your secondary variable and plug into your primary equation if your primary only has on variable this isn’t necessary
3. Plug into secondary equation to find the other value check your end points if necessary