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The function π(π₯)=2πππ π₯β3 is defined for the domain 0β€π₯β€π/2
a. Find the range of π(π₯)
b. Find π^β1(π₯).
The function π(π₯) is defined as π(π₯)=π+πcosπ₯, where π and π are constants. The range of π(π₯) is given by β6β€π(π₯)β€2.
a. Find the values of π and π
b. Solve the equation π(π₯)=0 for 0Β°β€π₯β€360Β°
c. Sketch the graph of π¦=π(π₯) for 0Β°β€π₯β€360Β°
Consider π(π₯)=4sin3π₯
a. Write down the period of π(π₯)
b. Write down the number of solutions to the equation π(π₯)=3, for 0β€π₯β€2π
c. Starting with the graph of π¦=sinπ₯, state the transformations which can be used to sketch π(π₯).
Solve the equation β3sinπβcosπ=0 for β180Β°β€π₯β€180Β°
Solve the equation 8sin^2π₯β7=2cosπ₯ for 0β€π₯β€360Β°, giving your answers to 1 decimal place.
Prove:
a. (sinπ₯+cosπ₯)^2 β‘1+2sinπ₯cosπ₯
b. (1+sinπ₯+ cosπ₯)^2 β‘2 (1+sinπ₯) (1+cosπ₯)
c. (6βcos^2π)/(sin^2π+5) β‘1
Create a program that will allow user to enter two numbers. Using a function, compute and display for its summation.
4.1.Discuss government and political structures as social institutions in a democratic context.Include examples in your discussions.
4.2.Define the concept of social integration within the school context.
4.3.What is the hidden curriculum in the classroom?
2.1.Discuss how symbolic interactionism is applied to society.Use examples in the discussions.
2.2.Briefly explain the two divisions within the theory of symbolic interactionism.
2.3.Discuss,from a symbolic interactionism perspective,how families transmit norms and values to learners through socialization.Provide examples of this transmission.
2.4.What are the five assumptions about the theory of symbolic interactionism?Give a short description of each assumption.
Create a project to model students with firstname, lastname, age, gender and student number. Create two constructors, one to be used as default and another to include all attributes. Add a class attribute to keep count of all registered students. Use the class attribute to generate student numbers with the following format 22201XYZ, where XYZ is the current count provided by the class attribute. Implement the respective getters and setters for each attribute. Now given a list of student information create the respective objects and print out their details see samples below, make sure the student class has a toString method.
Sample Run1
2
John Doe 29 M
Kelly Daniela 40 F
Output1:
Full names : John Doe
Age : 29
Gender : M
Student Number : 22201001
