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Quiz 3 / TUT0301 Quiz3
« on: February 11, 2020, 11:15:14 AM »
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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
Find the general solutions to the following equation:
u_xyz = x+y+z
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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
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
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.
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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