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Complex Analysis
Find the polynomial equation over R of lowest degree which is satisfied by 1-i and 3+2i
Complex Analysis
Describe the geometric, polar and exponential representations of:
(\bar -5i+2)⁻¹
(\bar -5i+2)⁻¹
Complex Analysis
If ω is a cube root of unity show that (1-ω+ω²)(1+ω-ω²)=4
Complex Analysis
What is the distance between the points x and y, given that x = 3 + 2i and y = 4 + 3i?
Complex Analysis
Question: please convert this complex number into the polar form.
1/2j
note: it is not (1/2) * j
it is 1/2*j --> j is at denominator
1/2j
note: it is not (1/2) * j
it is 1/2*j --> j is at denominator
Complex Analysis
Describe the geometric,polar and exponential representations of (5i+2)^-1
Complex Analysis
Using the method of Laplace transform, solve the following initial value problem:
y′′ − 3y′ + 2y =4e^(2t) ,y(0) = -3 , y'(0)=5
y′′ − 3y′ + 2y =4e^(2t) ,y(0) = -3 , y'(0)=5
Complex Analysis
Determine the Fourier transform of the function
F(t) = {1 - t , 0 ≤ t ≤ 1
= {1 + t , -1≤ t ≤ 0
= {0 , otherwise
F(t) = {1 - t , 0 ≤ t ≤ 1
= {1 + t , -1≤ t ≤ 0
= {0 , otherwise
Complex Analysis
Determine the Laplace transform of the function
f(t)=cos(t-2π/3) t>2π/3
0. t<2π/3
f(t)=cos(t-2π/3) t>2π/3
0. t<2π/3
Complex Analysis
Determine the Fourier transform of the function
f(t)=1-t. 0 ≤t≤1
1+t. -1≤t≤0
0. Otherwise
f(t)=1-t. 0 ≤t≤1
1+t. -1≤t≤0
0. Otherwise
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#339914 on Dec 2023
#339914 on Dec 2023