what's more cake
Log in to WhatsApp Web for simple, reliable and private messaging on your desktop. Send and receive messages and files with ease, all for free.
Related Articles
Trending Articles
\( P = 500 \cdot 2.4760 = 1,238 \)
#### 1,238
A calculus communicator models the spread of a viral video: \( V(t) = 1000 \cdot e^{0.4t} \), where \( t \) is in days. Find the rate of change of views at \( t = 3 \) days.
Rate of change is \( V'(t) = 1000 \cdot 0.4 \cdot e^{0.4t} = 400 \cdot e^{0.4t} \)
At \( t = 3 \): \( V'(3) = 400 \cdot e^{1.2} \)
\( e^{1.2} \approx 3.3201 \)
\( V'(3) = 400 \times 3.3201 = 1,328.04 \) views per day
#### 1,328.04
A Netflix recommendation system uses a logistic growth model for viewership: \( U(t) = \frac{10,000}{1 + 9e^{-0.5t}} \). Find the viewership after 4 days.
\( U(4) = \frac{10,000}{1 + 9e^{-0.5 \cdot 4}} = \frac{10,000}{1 + 9e^{-2}} \)