8 = 3x would be your answer
Have a good day :)
Firstly, we must calculate dx/dt ,
dx/dt = 4te^t + 4e^t=(<span>4t + 4)e^t
</span>dx/dt=0 implies (4t + 4)e^t=0 so 4t + 4 = 0 because <span>e^t>0, and t= -1,
</span>fort t = -1, x = 4 (-1)e^-1, and <span>y=4(-1)e^1,
x= - 4 / e, and </span><span>y= - 4 e
</span><span>Then find the exact coordinates.
Highest point:- 4/e
Leftmost point: - 4e
</span><span>Horizontal asymptote: lim </span><span>4te^_t
</span>lim 4te^_t = lim 4/ e^t /t = 0, (x=o H.A), because e^t /t = infinity when t= infinity, so
t=infinity t=infinity
lim <span>4te^t =4 lim</span>te^t<span> = 4 x o =0</span>
t= - infinity t= - <span>infinity
</span>
<span>The curve has one horizontal asymptote and one vertical asymptote. Find them.
Horizontal asymptote: y= . 0
Vertical asymptote: x= 0</span>
Answer:
Step-by-step explanation:
Let the distance be d
<u>Then the time in travel is</u>
- d/60 one way, d/50 on return
<u>The round trip would take 1/2 hours longer if the average speed was 55 mph</u>
- d/60 + d/50 = 2d/55 + 1/2
- d/60 + d/50 - 2d/55 = 1/2
LCM(60,50,55) = 11*12*5*5 = 3300
- 55d/3300 + 66d/3300 - 120d/3300 = 1/2
- d/3300= 1/2
- d = 1650 miles
Hmmmm try socratic and if not reply to me and i’ll help you
