Express as complex number a. (V(9) - v(-9))*( v(-36) b. V(-16) *(V(25) - V(-25) ) c. (3+ 2v(-9) ) * (3+ 2\(-9) ) d. (3+ 2\(-9) ) * (3- 2V(-9) )

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve Q1

1. Complex Numbers
1. Express as complex number
a. (V(9) - v(-9))*( V(-36)
b. V(-16) *(V(25) - V(-25))
c. (3+ 2v(-9)) * (3+ 2\(-9) )
d. (3+ 2\(-9) ) * (3- 2\(-9) )
2. Let z1 = 3 + 4i, z2 = 2-i. Answer the following quextions:
a. The conjugate of z1 is
b. The modulus of z1 is
c. zl+z2=
d. zl-z2
e. zl*z2
f. zl/z2
3. Given
sin 0° = 0,
sin 30° = 1/2,
sin 45° = v(2) /2, cos 45° = \(2) /2,
cos 0° = 1,
cos 30° = v(3) /2,
Transcribed Image Text:1. Complex Numbers 1. Express as complex number a. (V(9) - v(-9))*( V(-36) b. V(-16) *(V(25) - V(-25)) c. (3+ 2v(-9)) * (3+ 2\(-9) ) d. (3+ 2\(-9) ) * (3- 2\(-9) ) 2. Let z1 = 3 + 4i, z2 = 2-i. Answer the following quextions: a. The conjugate of z1 is b. The modulus of z1 is c. zl+z2= d. zl-z2 e. zl*z2 f. zl/z2 3. Given sin 0° = 0, sin 30° = 1/2, sin 45° = v(2) /2, cos 45° = \(2) /2, cos 0° = 1, cos 30° = v(3) /2,
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