Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jω-axis: P(s) = S 5 + 6S 3 + 5 S 2 + 8S + 20

The higher the astm grain-size number, the coarser the grain is. a)-true b)-false

Which of the following ziegler nichols tuning methods the response of the controller to a step input should exhibit an s-shaped curve? a)-open loop mode b)-closed loop mode c)-both modes (open & closed) d)-none of the modes (open & closed)

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.