Question

Find where the signal x(t) = 1/(t^2 – 3t + 2) finds its maximum value between (1.25, 1.75):

(a) 1.40

(b) 1.45

(c) 1.55

(d) 1.50

This question was posed to me in an interview for internship.

Query is from Signal Classification and Properties topic in division Signals and Systems Basics of Signals and Systems

Answer 1

Correct option is (d) 1.50

Easiest explanation: Differentiate the function for an optima, put it to zero, we will obtain t = 1.5 as the required instant.