Step 1: Identifying the Structure The given structure represents endomorphin, which is an endogenous opioid peptide found in the human body.
Step 2: Understanding the Source - Opium (Option A) is a natural source of morphine and related alkaloids but does not produce this specific structure.
- Frog-derived peptides (Option B) exist, but this structure does not match known frog peptides.
- Endogenous opioid peptides (Option C) such as endorphins, enkephalins, and dynorphins are naturally synthesized by the body and have similar structural motifs.
- Snake venom (Option D) contains various neurotoxins and peptides, but this structure is not related to venom-derived compounds.
Step 3: Selecting the Correct Answer
Since endomorphins are naturally occurring peptides in the body that exhibit opioid analgesic effects, the correct answer is: An endogenous compound present in the body (Option C).
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.