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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
 2 years ago
 2 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
 2 years ago
 2 years ago

This Question is Closed

KatrinaKaifBest ResponseYou've already chosen the best response.0
Do you want the work to? O_o
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
nope, wait its a show question. Just show the working if you're bothered.
 2 years ago

KatrinaKaifBest ResponseYou've already chosen the best response.0
Okay 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 ) ??
 2 years ago

KatrinaKaifBest ResponseYou've already chosen the best response.0
K give me a moment.
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
You can ask for help if you want, i don't mind.
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
lols, what's wrong ? Archaic Mathematician can help :P
 2 years ago

LagrangeSon678Best ResponseYou've already chosen the best response.1
This is basic calc (calc 1), i wanna see her do this.
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
Isn't calc 1 ? college ? >_<
 2 years ago

LagrangeSon678Best ResponseYou've already chosen the best response.1
she can do it, i am sure. She solved harder ones before
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
ok, i'll give a little hint, it involved d s t
 2 years ago

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

Mimi_x3Best ResponseYou've already chosen the best response.6
lols, yeah sorry. Want me to type up the solution ?
 2 years ago

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

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

Mimi_x3Best ResponseYou've already chosen the best response.6
Archaic mathematician can help you.
 2 years ago

KatrinaKaifBest ResponseYou've already chosen the best response.0
I ll figure it out myself.
 2 years ago

LagrangeSon678Best ResponseYou've already chosen the best response.1
lets get some soap for that mouth
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
Please refrain from swearing, don't get angry man.
 2 years ago

KatrinaKaifBest ResponseYou've already chosen the best response.0
Lol 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
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
Hm...dw about the problem, I'll type up the solution if you want.
 2 years ago

LagrangeSon678Best ResponseYou've already chosen the best response.1
yeah, put her out her misery
 2 years ago

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

Mimi_x3Best ResponseYou've already chosen the best response.6
It'll take a while, it took me a while.
 2 years ago

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

Mimi_x3Best ResponseYou've already chosen the best response.6
Okay, do it as you wish, don't need to give me the solution straight away.
 2 years ago

LagrangeSon678Best ResponseYou've already chosen the best response.1
yeah, let her use "her" brain to find the solution
 2 years ago

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

LagrangeSon678Best ResponseYou've already chosen the best response.1
woah, relax buddy
 2 years ago

LagrangeSon678Best ResponseYou've already chosen the best response.1
take a chill pill
 2 years ago

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

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

LagrangeSon678Best ResponseYou've already chosen the best response.1
nobody 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
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
You are making it sound so serious. Don't worry about it. I'll take up the solution.
 2 years ago

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

Mimi_x3Best ResponseYou've already chosen the best response.6
Time 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.
 2 years ago

KatrinaKaifBest ResponseYou've already chosen the best response.0
Damn. forgot to plug it into the equation
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
Yeah and you forgot about the distance.
 2 years ago

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

Mimi_x3Best ResponseYou've already chosen the best response.6
Yeah, when i did it I forgot about the other one as well xD
 2 years ago

LagrangeSon678Best ResponseYou've already chosen the best response.1
it was a nice try
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
Want an easier one kaffeine ?
 2 years ago

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