For Deterministic Quicksort, which operates by selecting the first element as the pivot, consider a scenario where the pivot consistently divides the array into segments of 1/3 and 2/3 for all recursive calls. (a) The runtime recurrence for this case needs to be determined. (b) Use a recursion tree to justify that this recurrence resolves to Theta(n log n). (c) Provide distinct sequences of 4 and 13 numbers that prompt this behavior.
A.) 591.7 v B.) 991.7 v C.) 59.7 % D.) 47.9 kW E.) 247925 W F.) 59.7 %
The value obtained is 0.60. From the given conditions, we take k = 1.4 for air and r = 16. We know that for calculations involving diesel engine efficiency, we arrive at 0.60.
Response:
The solution to this question is 1273885.3 ∅
Clarification:
The first step is to ascertain the required hydraulic flow rate liquid based on the working pressure if a cylinder with a piston diameter of 100 mm is utilized.
Given that,
The distance = 50mm
The time t =10 seconds
The force F = 10kN
The piston diameter = 100mm
The pressure = F/A
10 * 10^3/Δ/Δ
P = 1273885.3503 pa
Subsequently
Power = work/time = Force * distance /time
= 10 * 1000 * 0.050/10
which amounts to =50 watt
Power =∅ΔP
50 = 1273885.3 ∅
