A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
At noon, ship a is 150km west of ship b. ship a is sailing east at 35 km/h and ship b is sailing north at 25 km/h. how fast is the distance between the ships changing at 4 pm
anonymous
 5 years ago
At noon, ship a is 150km west of ship b. ship a is sailing east at 35 km/h and ship b is sailing north at 25 km/h. how fast is the distance between the ships changing at 4 pm

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0would i just take \[\Delta y / \Delta x \]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1you want dr/dt; so implicit this thing with respect to time.. your formula is the pythag thrm

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1your dy/dt, or rather the d'north'/dt = 25; and d'e'/dt = 35

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1e' 2e + n' 2n = r' 2r ; divide it all by 2 e' e + n' n = r' r r' = [e' e + n' n]/ r

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so if i take that and introduce log i have f(x)+f'(x) which is

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[e^2+n^2r^2+ 1/2x +1/2n +1/2r\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1draw a triangle a right triangle with sides: n = 4(25); e = 4(35)+150; solve the pythag thrm for r r = sqrt(100^2 + e^2) :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1there is no call for any log or ln in this problem... your thinking to much at it :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok i am agreeing with using the pythag but i question your 4(35)+15 because of the direction of sail for the boat

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1\[r' = \frac{35(e) + 25(n)}{\sqrt{100^2 + e^2}}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0because the boat is to the west and sailing east wouldn't it be 4(35)150?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok let me work that out really fast

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1150 + 4hours worth of 35 is.....150 + 4(35) :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1....maybe, i coulda read it wrong lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok for your r' i am showing 140.9996308

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1your right; 4(35)  150 :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.12850  sqrt(100^2 + 10^2) = sqrt(10100) r' = 28.358 is what I get

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok if i use the reg pythag a^2+b^2=c^2 will i end up with the right answer after i solve the correct values

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1i just renamed the variables to keep track of them better; I know east is 35 and n is 25, so to keep the variables in shape I just rename them n and e

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok i did the same thing as you and ended up with a different number i am trying to work back to your answer

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1n = 100; n' = 25; n n' = 2500 e = 10; e' = 25; e e' = 250

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1r = sqrt(100^2 + 10^2) r = sqrt(10000 + 100) r = sqrt(10100)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0when i do sqrt(10100) i end up with 100.4987562

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1crap lol.....n' = 35 ;) e e' = 350

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok little off track here why are we breaking down the east and north into double derives?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1its hard to keep up with my typos with my computer lagging so much...... you need to read thru them :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1we derive implicitly with respect to time; so all our derived bits stay intact

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1e^2 + n^2 = r^2 ; implicit with respect to "t"

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1e' 2e + n' 2n  = r' = dr/dt = how fast the boats r are moving away from each other

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1thats 2r under there :) but all the twos factor out to 1 so they can dissapear

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1e' e + n' n  = r' = dr/dt r

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0fantastic answer as always amistre, thanks a ton for the help

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.135(10) + 25(100)  = r' = dr/dt sqrt(10100)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.12850  = 28.3585 sqrt(10100)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yup i agree our math was jiving on that last answer
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.