First-year students, first semester Polytechnic Institute (SUSU) on the subject of Algebra and Geometry. Individual tasks (computational and graphic work) -The topic "Complex numbers"! OPTION 18! (5 points out of 5 possible). Tasks from the collection Individual tasks "Complex numbers" -Collection of control tasks OT 2017. Suitable for teachers A.B. Samarov, N.A. Manakova, O. N. Tsyplenkova, O. V. Gavrilov. The work was completed and delivered in 2019.
Checked by teacher M. *. A
Description of tasks
Task 2.1. You are given complex numbers Z1, Z2 and Z3. Necessary
a) find the number Z = ...
b) display complex data on a complex plane
numbers, find their modules and arguments;
c) write down the complex numbers Z1, Z2 and Z3 in trigonometric
and exponential forms.
Data for the problem condition corresponding to the options: ......
Variants from the first to 30 are given.
Task 2.2. Find all roots of the given equations and draw them
on the complex plane.
Data for the condition of the problem corresponding to the options: .....
Task 2.3. Find and plot the area on the complex plane,
to which the points z x iy belong, satisfying the indicated
conditions.
Data for the problem condition corresponding to the options: .....
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