Exponential Signal
1. **Problem Statement:**
We are given the exponential signal $$x(t) = 3e^t$$ and asked to draw its analog and digital forms.
2. **Understanding the Signal:**
The signal is continuous-time and exponential, scaled by 3. The function grows exponentially as $$t$$ increases.
3. **Analog Form:**
The analog form is the continuous curve of $$x(t) = 3e^t$$ for all real values of $$t$$.
4. **Digital Form:**
The digital form samples the analog signal at discrete time points, for example at integer values of $$t$$. The digital signal is a sequence of points $$x[n] = 3e^n$$ where $$n$$ is an integer.
5. **Summary:**
- Analog: continuous curve $$3e^t$$.
- Digital: discrete points $$3e^n$$ for integer $$n$$.
**Final answer:** The analog signal is $$x(t) = 3e^t$$ continuous over $$t\in\mathbb{R}$$, and the digital signal is the sequence $$x[n] = 3e^n$$ sampled at integer $$n$$.