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 3 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
 3 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

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

Mimi_x3
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0K give me a moment.

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

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

LagrangeSon678
 3 years ago
Best ResponseYou've already chosen the best response.1This is basic calc (calc 1), i wanna see her do this.

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

LagrangeSon678
 3 years ago
Best ResponseYou've already chosen the best response.1she can do it, i am sure. She solved harder ones before

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

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

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

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

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

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

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

LagrangeSon678
 3 years ago
Best ResponseYou've already chosen the best response.1lets get some soap for that mouth

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

KatrinaKaif
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.6Hm...dw about the problem, I'll type up the solution if you want.

LagrangeSon678
 3 years ago
Best ResponseYou've already chosen the best response.1yeah, put her out her misery

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

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

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

Mimi_x3
 3 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.

LagrangeSon678
 3 years ago
Best ResponseYou've already chosen the best response.1yeah, let her use "her" brain to find the solution

KatrinaKaif
 3 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.

LagrangeSon678
 3 years ago
Best ResponseYou've already chosen the best response.1woah, relax buddy

LagrangeSon678
 3 years ago
Best ResponseYou've already chosen the best response.1take a chill pill

KatrinaKaif
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0You crossed the limits a while ago, and I told you to STAY AWAY

LagrangeSon678
 3 years ago
Best ResponseYou've already chosen the best response.1nobody 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
 3 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
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0Damn. forgot to plug it into the equation

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

KatrinaKaif
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.6Yeah, when i did it I forgot about the other one as well xD

LagrangeSon678
 3 years ago
Best ResponseYou've already chosen the best response.1it was a nice try

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

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