@Frigidcold I’ll probably try something similar; thanks!
@athenanv13 I think 2-3 weeks before is the average for most events. Events that require a lot of coordination i.e. Biomedical Debate and Parly Pro, and events with a large sheer amount of information i.e. HOSA Bowl and Med Term may benefit from starting a little bit earlier.
Don’t you have regionals first though?
@Frigidcold Thanks for your help! :DThere are not many HOSA chapters in my state so we don’t have regionals. We just go straight to state.
Can any calculus people help me with this problem?
Use the first derivative test to investigate f(x)=x^3 + x for relative extrema
A) f has no relative extrema
B) relative maximum: x=0
C) relative max: x=1/rad(3) ; relative min: x=1/rad(3)
D) Relative min: x=0
E) none of these
I took the first derivative and set it equal to 0. I got that x=rad(-1/3) and idk what to do bc there’s a negative under the radical…
@ZBlue17 That function has no relative extrema. If you graph it you can tell. And you figured it out algebraically. The answer is A.
Just took my SAT blind. Yes I did not study and yes I meant to do it that way. I didn’t get my PSAT scores back so I don’t really know my weaknesses since I feel I am pretty well rounded. So now I am just going to patiently wait till Nov 24.
I took it too but I studied. I’m hoping for 2300+. My father got mad at me because I was supposed to tell him that I was going to take the SAT in advance so he could sign me up for prep classes but I didn’t. But I don’t think I needed them, I looked at the prep books so I should be fine.
I’m listening to Hamilton right now, and it’s amazing, I might cry.
So we are picking classes this week and I’ve had to update my schedule. I really wanted to take AP Hug by parents wouldn’t let me. I am taking the new AP Computer Science Principles. Is anyone else taking it?
I need help yet again guys…this is a related rates problem.
The mechanics at Lincoln Automotive are devoting a 6-in deep cylinder to fit a new piston. The machine they are using increases the cylinder’s radius one-thousandth of an inch every 3 min. How rapidly is the cylinder volume increasing when the bore(radius) is 3.800 in.?
This is all the info it gives (no image).
Answer is 19pi/2500 or .0239 in^3/min
@ZBlue17 The volume of a cylinder is (pi)r(h^2)
The deriv. of that is (dv/dt)= pi(dr/dt)(h^2) + (pi)r(2h)(dh/dt)
Then you plug in 6 for h, 3.8 for r, .0038 for dr/dt and 1 for dh/dt and solve for dv/dt.
However I keep getting 143.606… sorry, that’s all I can help
@ZBlue17 I’m getting the same answer as @tigermann333 except moved 3 decimals back. 0.143184. Is there a typo?
To approach this problem, I like to organize my thinking to know what I’m finding. State the known values before you begin your work so you know what you are finding.
So the equation we are using since it is a cylinder is V=pir^2 h. The derivative is V’=2pirr’h + 2pi *r h (product rule) We know we have to find the values for the V’, r, r’, h, and h’ to plug into the derivative. Some are given. There should only be one variable that is unknown. For me, it is easier to write it out like this:
V’=?
r=3.8 in
r’=1/1000
h=6 in
h’=0 (the height never changes we could assume unless stated otherwise)
Knowing that, we could plug it into the derivative of the equation. V’=2pi(3.8)(1/1000)(6)+2pi(3.8)(0)
I get that answer of 0.0238 by doing V’=2pi(3.8)(1/1000)(the 6 is supposed to be here but isn’t) + 2 pi (3.8) (0)= 0.0238 if I don’t multiply by 6 so your teacher may have forgot to plug that value in as h. But if you do multiply by 6, you get the right answer of 0.143 in^3/min every 3 minutes.
@tigerman333, maybe it is because of the fact that the volume of a cylinder is (pi)(r^2)(h)…
I’m sorry, I made a mistake, 3.8 is actually the diameter. So the radius is 1.9. How does this change the answer?
Hi everyone!
I wanted to ask you all - specially those obsessed about keeping their grades high in school - how do you manage to study for BOTH the SAT and school? I’m in this kind of school where you have a test daily. Anyway, I am not even finding time to sleep… what do you do to balance things out?
@BethanyD I certainly feel overwhelmed as well, especially this year since fr/so years were so easy. Since I’m taking the ACT in December, I’ve been taking one ACT section every day right when I get home from school (~30-60 minutes). I know this sounds counter-intuitive, but it’s actually made me more productive. Time management is key… What has helped me the most is turning off my phone while doing my homework, and not having a computer open if I don’t need it for the assignment.
Thanks for your help guys, I figured it out!
I am so overwhelmed like all the time. I don’t even have time to study for the SAT with all this homework all the time.
Same here @Calchong
What’s weird for me is that I found a silver lining to my massive amount of work - I never procrastinate now. For the past two years I would struggle with procrastination but now I feel like procrastination disappeared almost instantly, I never stay late now because I put off my work. Instead, when I do stay late it’s because I’m devoting extra time to study.