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### Messages - Guan Zhaoqing

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1
##### Quiz 3 / TUT0301 Quiz3
« on: February 11, 2020, 11:15:14 AM »
See the picture:

2
##### Quiz 2 / TUT0201 Quiz2
« on: January 31, 2020, 01:25:29 PM »
Solve IVP
see the picture

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##### Quiz 1 / TUT0201 Quiz1 Problem2
« on: January 28, 2020, 10:33:43 PM »
Problem 2.
Find the general solutions to the following equation:
u_xyz = x+y+z

4
##### Quiz 1 / TUT0201 Quiz1 Problem1
« on: January 28, 2020, 10:20:47 PM »
Problem 1.
Consider first order equations and determine if they are linear homogeneous, linear inhomogeneous, or nonlinear (u is an unknown function); for nonlinear equations, indicate if thery are also semilinear, or quasilinear:    u_t + xu_x = 0

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##### Quiz 2 / TUT0301 Quiz2
« on: January 28, 2020, 10:03:13 PM »
Question:
Find the limit of function at the given point, or explain why it does not exist.
f(z)=|1-z|^2   at z0 = i.

Answer:
lim z->i f(z) = |1-i|^2 = 1+1 =2

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##### Quiz 1 / TUT0301 Quiz1
« on: January 28, 2020, 09:55:22 PM »
Question:
Write the equation of the circle through 0, 2+2i, and 2-2i.

Answer:
The circle pass through (0,0), (2,2), (2,-2)
So, the circle is centerd at (2,0) and has radius 2.
Thus, the equation would be: (x-2)^2 + y^2 = 4
In complex number notation: |z-2|=2, where z is complec number.

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##### Quiz-7 / Quiz 7
« on: December 01, 2019, 03:05:34 PM »
This question really need calculator.
See the picture.

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##### Quiz-4 / TUT0702 Quiz4
« on: October 20, 2019, 05:13:16 PM »
See the picture.

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##### Quiz-3 / TUT0702 Quiz3
« on: October 11, 2019, 06:32:58 PM »
See the picture.

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##### Quiz-2 / TUT0702-Quiz2
« on: October 05, 2019, 05:28:44 PM »
See the picture.

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##### Quiz-1 / TUT0702 Quiz1
« on: September 27, 2019, 11:26:42 PM »
The homogenus question.
See the picture.

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