A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
I'm confused with this question...
anonymous
 one year ago
I'm confused with this question...

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I keep getting the last 2 parts wrong >.<

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For #3 shouldn't it just be base times height divided by 2?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437018844512:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Keep in mind, the definite integral gives the "signed" area between x axis and curve

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right so it's (2x2)/2 isn't it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 what does that mean?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2that just means, definite integral gives the "negative" of the area below x axis and "positive" of the area above x axis

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh right, so in that case isn't it only 2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ahh yep, that was my mistake!!

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437019097211:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Haha right on!! :D that's correct... now what about the last one?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Just to be clear : Area is never negative. But the definite integral doesn't give you the actual area, it gives you the "signed" area. A negative sign is added to the area below x axis and a positive sign to the area above x axis

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ahaha XD lol @Astrophysics

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Mhmm that makes sense!

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Find the blue area and add up everything dw:1437019419001:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But that shape's neither a rectangle nor a triangle...

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2try again, its not hard for you im sure

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Easy way, err Hint: dw:1437019699663:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437019750270:dw or like this?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2looks good, keep going and finish it off

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So that small triangle's area would be 2(1) / 2 = 1 and then the rectangle above it... 2(1) = 2 so then would it be 1  2 = 3 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I feel like I'm doing it wrong :/

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Keep in mind : Length, area and volume can never be negative by the very definition

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437020002007:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh so no negative sign in the calculations but at the end we just say its negative since its below the xaxis?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Yes, the area in its usual interpretation is always positive. To work the definite integral between 0 and 9, simply add up the areas above x axis and subtract the areas below x axis

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437020162395:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got 1! and it's CoRrEcT :DDD Thanks so much @ganeshie8 & @Astrophysics!! You guys are the best! :D

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Lol I didn't do much, it's all ganeshie and his amazing explanations xD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Astrophysics you both did a lot! :D It all helped :D

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2np :) in light of above problem, just want to give you this result : If \(f(x)\) is odd function, then \[\int\limits_{a}^a f(x)\, dx = 0\] try figuring out why that must be true when you're free and if you want to :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah my prof was saying something about even and odd functions too... like because even functions are symmetric or something like that...? xD lol

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Yes it has to do with symmetry about origin (0, 0). It would be more fun if you figure it out on ur own because you're not very far from seeing it on ur own. Good luck!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yuppers! Haha thanks! :D

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Yeah, that's a fun one, you can try the trig functions and see as well

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Also for even then \[\int\limits_{a}^{a} f(x) dx = 2 \int\limits_{0}^{a} f(x) dx\] try working this out to

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oooh you guy know so much about calculus *_* hahaha thats awesome! Will definitely look at those :D

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Lol, well I don't know about ganeshie (he's probably mastered it) but I'm still learning...especially vector calculus that course was weird xD, I still don't fully understand it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh myyy... if you don't understand it i wonder how terrible that course would go for me XD Lol

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1No, I think you will be fine, I just had a later start at math, I didn't "really learn" math till I was around 18...and I'm not too far from that right now haha. So I guess I struggle a bit more in understanding the concepts but I guess it's not too bad, I've learnt quite a few things past 2 years :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Haha thats pretty awesome!! xD Well, all I know that this is gonna be the last math course I'll be taking for a while XD hahaha

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Hehe, I used to hate math and say the same thing, now I just want to keep learning it :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0LOL it was the exact opposite for me!! I graduated from high school with a PreCalculus score of 99% (and i LOVED math) .... I'm not gonna tell you my grades now :P hahaha

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Haha, well I'm not going to tell you what to do, I think you will figure out doing what you enjoy xD, anyways have fun learning calculus, integrals are pretty awesome, but frustrating at times but that's the fun part! So enjoy!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks!! :D You're super kind... and smart =D

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Haha, thanks and right back at ya :D

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Haha merci beaucoup ;D
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.