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Complex Analysis
show that the point A(2,-6,0),B(4,-9,6),C(5,0,2),D(7,-3,8) are concyclic.
Complex Analysis
Write a complex number in trigonometric form, using the degree measure for the argument:
-5sqrt(2)+5i sqrt(2)
-5sqrt(2)+5i sqrt(2)
Complex Analysis
could you tell me how would i solve this question
Q1 2-4i/4i
Q2 3-i/i
Q3 2y-3 + (4x+8)i =0
Q1 2-4i/4i
Q2 3-i/i
Q3 2y-3 + (4x+8)i =0
Complex Analysis
Given
z1 = 3+5j
z2 = 6-3j
z3 = -5+4j
plot the following on an argand diagram
z1 + z2
z2 - z3
z3 - z1
z1 + z3
z1 = 3+5j
z2 = 6-3j
z3 = -5+4j
plot the following on an argand diagram
z1 + z2
z2 - z3
z3 - z1
z1 + z3
Complex Analysis
Let
z1 = 3+2j
z2 = 4+5j
Calculate z1*z2 and state Re(z1*z2) & Im(z1*z2)
z1 = 3+2j
z2 = 4+5j
Calculate z1*z2 and state Re(z1*z2) & Im(z1*z2)
Complex Analysis
Sequence Zn = [ e ^{ i.(n ^2)- (n^2)} ] ^ (1/n)
A )) Determine whether Zn is convergent or divergent
Note : please by find the Limit Zn :as n approach to infinity: ( if value : the sequence will convergent ,but if Does not exist or infinity the sequence is divergent
B )) is ∑ Zn ^ n Convergent ? Why?
A )) Determine whether Zn is convergent or divergent
Note : please by find the Limit Zn :as n approach to infinity: ( if value : the sequence will convergent ,but if Does not exist or infinity the sequence is divergent
B )) is ∑ Zn ^ n Convergent ? Why?
Complex Analysis
Find the value(s) of constant B such that :
integral on curve for [ (1)- (3z) + (2 B {z^4}) +( z^6) + (3 {z^7}) + ( 11 {z ^ 100} ] /[ z^5] dz =
integral on curve for [ e ^ {Bz} + 2 z ] / [ z^2 ] dz
where C is the unit circle oriented counterclockwise
integral on curve for [ (1)- (3z) + (2 B {z^4}) +( z^6) + (3 {z^7}) + ( 11 {z ^ 100} ] /[ z^5] dz =
integral on curve for [ e ^ {Bz} + 2 z ] / [ z^2 ] dz
where C is the unit circle oriented counterclockwise
Complex Analysis
Find the sum of the power series
n from 0 to ∞ ∑ {(-1)^n / (2n)! } . ( z- { pi/2} ) ^2
afterward compute the sum of the series
n from 0 to ∞ ∑ 1 / (2n)!
n from 0 to ∞ ∑ {(-1)^n / (2n)! } . ( z- { pi/2} ) ^2
afterward compute the sum of the series
n from 0 to ∞ ∑ 1 / (2n)!
Complex Analysis
find the taylor series of f(z)= e^ { z^2 + 2z -3} about z=-1 along with its convergent neighborhood
Complex Analysis
Decide whether the series is convergent or divergent
A)) ∑ [ 8^{ n+i.(2^-n) } ] / [ 9 ^ n ]
____________________
B)) ∑ Conjugate all of this ( [ n+in+(n^i) ] / [ i ^ n ] )
A)) ∑ [ 8^{ n+i.(2^-n) } ] / [ 9 ^ n ]
____________________
B)) ∑ Conjugate all of this ( [ n+in+(n^i) ] / [ i ^ n ] )
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