$\frac{dv}{dt}= kv\\\\\int\limits \, \frac{dv}{v}= \int\limits \, kdt\\In v = kt + C_1\\v = e^{kt} + C\\400 = e^{k*0} + C\\400 = 1 + C\\C = 400 -1\\C = 399$

$V = e^{kt} + 399$

When v = 300 ; $\frac{dv}{dt}= - 15$

then

$\frac{dv}{dt}= kv\\\\-15 = 300*k\\\\k = \frac{-15}{300}\\\\\\k = \frac{-1}{20}\\\\k = -0.05$

∴ $\\V = e^{0.05t} + 399\\$

Therefore, the volume in terms of time t ⇒ $\\V = e^{0.05t} + 399\\$

6 0

3 years ago

Help plz. Even when you're not moving, your body needs energy for functions such as breathing, circulating blood and repairing c

KatRina [158]

<u>ANSWER</u>

metabolism

I really hope this helps i am in middle school and this must be a high school question.

4 0

3 years ago

do y’all think a toxic relationship is good ? like me and him are on and off one minute i say something wrong and BOOM he says b

ziro4ka [17]

Answer:

A toxic relationship is the worst thing someone could have,because people need to learn to chill out.

Explanation:

5 0

3 years ago