A community for students.
Here's the question you clicked on:
 0 viewing
Mimi_x3
 4 years ago
Only for Kaffeine, easy one first.
The cost to run a vehicle is a + v^2/a dollars per hour where v is the average speed of the vehicle in km/h. Show thatt the cost for a trip of Dkm is lowest if the vehicle travels at v=a km/h
Mimi_x3
 4 years ago
Only for Kaffeine, easy one first. The cost to run a vehicle is a + v^2/a dollars per hour where v is the average speed of the vehicle in km/h. Show thatt the cost for a trip of Dkm is lowest if the vehicle travels at v=a km/h

This Question is Closed

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Do you want the work to? O_o

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6nope, wait its a show question. Just show the working if you're bothered.

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Okay sorry, the stupid thing said server lost connection C = a + v2/a => dc/dv = 0 + 2v/a => dc/dv = 2v/a => 2v /a = 0 2v = 0(a) v = 0 => d2c / dv2 = d/v(2v/a)= 2/a (Postive value so cost is lowest for all values of v ) ??

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0K give me a moment.

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6You can ask for help if you want, i don't mind.

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6lols, what's wrong ? Archaic Mathematician can help :P

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0This is basic calc (calc 1), i wanna see her do this.

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6Isn't calc 1 ? college ? >_<

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0she can do it, i am sure. She solved harder ones before

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6ok, i'll give a little hint, it involved d s t

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0c(a) = 2v?? don't tell me I am wrong again. _

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6lols, yeah sorry. Want me to type up the solution ?

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Lol Give me the answer and I ll figure the solution

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Lagrange, stay out of it, and go away.

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6Archaic mathematician can help you.

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0I ll figure it out myself.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lets get some soap for that mouth

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6Please refrain from swearing, don't get angry man.

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Lol You have no control over my fingers, so no use in stating stop :P Please feel free to hit the report abuse button =) It will be a donation

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6Hm...dw about the problem, I'll type up the solution if you want.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah, put her out her misery

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Didn't I say I ll figure it out on my own?

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6It'll take a while, it took me a while.

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Doesn't matter. I have a brain gifted to me for it.

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6Okay, do it as you wish, don't need to give me the solution straight away.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah, let her use "her" brain to find the solution

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Lagrange, how many effing times Have I told you to stay away from me? Gosh damn.

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Get a life dude, other than critizing me each time I solve a calc problem.

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0You crossed the limits a while ago, and I told you to STAY AWAY

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0nobody is criticizing you, i just find it weird that you can solve problems i give you, that are straight from calc 2, but you cant solve this one

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6You are making it sound so serious. Don't worry about it. I'll take up the solution.

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Lol Does a person have be good at calc 1 to get into calc bc? Your derivative questions are easy as hell.

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6Time to travel D km T = D / S = D / V (hours) Cost to travel D km C = T * ( a + v^2/a ) = D / v ( a + v^2 / a ) = D ( a/v + v/a) dC / dt = D( a/v^2 + 1/a) = 0 a/v^2 + 1/a = 0 1/a = a/v^2 v^2 = a^2 > a km/h check for minimum: (using second derivative) d^2C/dt^2 = D(2a/v^3 + 0) = D * 2a/a^3 = 2D/a^2 > 0 yes, the cost at v=a is the lowest. Therefore v=a km/h for lowest cost.

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0Damn. forgot to plug it into the equation

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6Yeah and you forgot about the distance.

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.0I used the distance to get my 2 values in the first one..Forgot all about it

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6Yeah, when i did it I forgot about the other one as well xD

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.6Want an easier one kaffeine ?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.0This is all hilarious @Mimi_x3 @LagrangeSon678 @KatrinaKaif
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.