(c) The processing time of an algorithm is described by the following recurrence equation (c is a positive constant): T(n) = 3T(n/3) + 2cn; T(1) = 0 What is the running time complexity of this algorithm? Justify. (d) You decided to improve insertion sort by using binary search to find the position p where the new insertion should take place. (d.1) What is the worst-case complexity of your improved insertion sort if you take account of only the comparisons made by the binary search? Justify. (d.2) What is the worst-case complexity of your improved insertion sort if only swaps/inversions of the data values are taken into account? Justify.

[a] create a class called “cycle” which has two instance integer variables as properties, “numberofwheels” and “weight.” create a constructor with two parameters, using the same variable names in the parameter list. assign each variable to numberofwheels” and “weight” respectively. write a separate application to test the class and display its properties. note: do not change the names of the instance variables or the variables listed in the constructor’s parameter list. [b] edit your class cycle by adding a default constructor which will assign the default values of 100 to represent the numberofwheels, and 1000 to represent the weight, by invoking a call to the other constructor. modify your application created in [a] to test the class.

Which of the following statements is false? a. a class can directly inherit from class object. b. if the class you're inheriting from declares instance variables as private, the inherited class can access those instance variables directly. c. a class's instance variables are normally declared private to enforce good software engineering. d. it's often much more efficient to create a class by inheriting from a similar class than to create the class by writing every line of code the new class requires.

Barbara is interested in pursuing a career in the science and math pathway. which qualifications will her reach that goal? a.an advanced knowledge of physics and math b.an advanced knowledge of engineering and math c. an advanced knowledge of physics and robotics an d. advanced knowledge of machinery and math