Please solve all parts. Will upvote for a new, good solution.

Create two-pole system transfer functions designed to meet the requirements indicated in each part below. (a) Assume a sample period of T = 0.01 seconds, a DC gain of 1, a zero at the origin, a percent overshoot of 40% or less, a peak time of 0.1 seconds or less, and a 1% settling time of 0.6 seconds or less. (b) Assume a sample period of T = 0.01 seconds, a DC gain of 1, a zero at the origin, a percent overshoot of 20% or less, a peak time of 0.2 seconds or less, and a 1% settling time of 0.5 seconds or less