A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
solve dv/dt=32.8v
anonymous
 one year ago
solve dv/dt=32.8v

This Question is Closed

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3\(\large\color{black}{ \displaystyle \frac{dv}{dt} =320.8v }\) ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3yes, that is fine.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3What I would tend to do is: \(\large\color{black}{ \displaystyle \frac{dv}{dt} =320.8v }\) \(\large\color{black}{ \displaystyle \frac{1}{320.8v}\frac{dv}{dt} =1 }\) \(\large\color{black}{ \displaystyle \color{red}{\int}\frac{1}{320.8v}\frac{dv}{dt}\color{red}{dt} =\color{red}{\int}1\color{red}{dt} }\) and then cancel the differentials on the left side.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3So that you aren't just adding an integral sign (which is technically meaningless), but integrating with respect to a variable. But, what you did is fine too.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do i do it my way

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0like integrating dv/(32.8v)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3\(\large\color{black}{ \displaystyle \int\frac{1}{320.8v}dv =\int dt}\) Do a u substitution on the left side, and the right side should be obvious obvious at this point.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0int dt = t but idk wat int dv/32.8v is

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3ok, go ahead and solve the integral on the left side, and tell me what you get:)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3yes, that is the correct usub.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3what is the derivative of: 320.8v (with respect to v?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3Yes, so you have: du/dv=0.8 and then, du=0.8 dv > du=(8/10) dv then, (10/8) du=dv

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3dw:1443636158125:dw

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3yes, *CORRECT* !

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.310/8 ln(u) = t Now, solve for u.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so 10/8 ln (32.8v)=t

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3yes, right, now solve for v

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3(you can solve for u and then subsitute the v back, or as you want to do  to sub back the v first and then to solve for v)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0v= e^(8t/10)32 all over .8

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.310/8 ln (32.8v)=t ln (32.8v)=(8/10)t e^ln (32.8v)=e^(8/10)t 32.8v=e^(8/10)t 0.8v=e^(8/10)t32 0.8v=32e^(8/10)t v=[ 32e^(8/10)t ] 0.8

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3yes, yes, you are right...

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.3the result is simplifiable, you can make it into: v = 40  (5/4)e\(\large ^{8t/10}\)
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.