toán kỹ thuật,lê minh cường,dhbkhcm Hw1 Complex Number [1] Homework1 Complex Number Prob1 2 Express the following complex numbers in form r∠θ a) 1 b) j c) 1− d) j− e) 1 j+ f) 1 j− g) 1 j− + h) 1 j− −[.]
Trang 1 Homework1: Complex Number
Prob1.2: Express the following complex numbers in form r ∠θ :
a) 1 b) j c) 1 − d) j − e) 1 j + f) 1 j −
g) − + 1 j h) − − 1 j i) e2+j
Prob1.1: Express the following complex numbers in form a + jb :
1
j2
a) b) 2 j1− c ) c jd+1 d ) 1 j1 j−+ 1j
e
e) π
1 j (3 j)(1 j)
f) − + −
Trang 2 Homework1: Complex Number
Prob1.4: Put the following complex numbers in Cartesian form:
( )
168
348
1 1 j5
2 j3 2
+ +
Prob1.3: Put the following complex numbers in Cartesian form:
2 (1
a) + j) b) (1+ j)11 3 j4
1 j2
c) −+ d) 1+j3
Trang 3 Homework1: Complex Number
Prob1.5: Find all z ( in form r ∠θ) which satisfy:
6
a) z + =8 0 b) z3 − =4 0 c) z7 =1
Prob1.6: Find all solutions ( in form a + jb) of each equation :
4
z 0
a) −16 = b) z3 − 3z2 + 6z − =4 0 c) (z +1)5 = z5