ryanv8029

QUESTION 2

(a) Sketch the graph y = 2 sin(3θ − π /4 ) for θ ∈ [0, 2π]. Label your graph carefully. (3 marks)

(b) Given the complex numbers z1 = 1/2 + 1/2 i, z2 = 2 − 2i, z3 = 4e^iπ/2 , evaluate the following, giving your answer in the form a + bi:

(i) z1z2

(ii) z1/z2

(iii) z1 + 1/4 z3

(iv) Firstly express z1 in exponential form, then determine z 8/1 . (4 marks)

(c) Find all solutions of the equation 4z^2 + 9 = 0. (3 marks)

w is white
bw is brown
st is scarlet

Description:

For this checkpoint, you will prepare a presentation that shares what you have done and what you have learned from your Political Action Project.

Your presentation can be in any of the following formats:

Powerpoint

Prezi

Your presentation should cover the following topics

Issue (CHECKPOINT ONE, SLIDE ONE)

Inquiry Question (CHECKPOINT ONE, SLIDE ONE)

• Place your issue and your finalized inquiry question in the space below.
• Your inquiry question should:
  • Be specific
  • Be researchable
  • Help you develop a "problem statement" and an action plan to solve the problem.
• You will get feedback on the Cognitive Skill:
  • Asking Questions