To prove big Theta, we must prove both big O and big Omega. For each of the following functions, prove the statement by finding a pair of witnesses that proves big O and a pair of witnesses that proves big Omega. 5n 10 is Theta(n) 3n2 3n 3 is Theta(n2) 6 log n 2 is Theta(log n) 6n5 3n2 n 12 is Theta(nk)

A.) generate scaffolding to create database for your application. develop all the entities identified in assignment #2. add any additional that may be identified later. b.) add data validation rules to the models that are appropriate for your application and data. c.) create links for each scaffold in the header section. part 2: application updates [30 points] a.) add two additional views to the "home" controller you created in assignment #1. b.) the two views should be named as “privacy" and "". c.) link the two newly created views in the footer section. hint: you would need to modify the “home" controller definition and create “privacy.html.erb" and “.html.erb" files in appropriate locations.

Asequential circuit contains a register of four flip-flops. initially a binary number n (0000 ≤ n ≤ 1100) is stored in the flip-flops. after a single clock pulse is applied to the circuit, the register should contain n + 0011. in other words, the function of the sequential circuit is to add 3 to the contents of a 4-bit register. design and implement this circuit using j-k flip-flops.

For her science class, elaine is creating a presentation on weather in the united states. she wants to make the presentation beautiful and interesting by drawing simple cloud or wave shapes. which is the best way for elaine to draw these shapes?