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What does i 2 equal? 1 -1 i D on’tknow 0% 0% 0% 0% 1.1 2.-1 3.i 4.Don’t know

What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

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Page 1: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

What does i2 equal?

1 -1 i

Don’t

know

0% 0%0%0%

1. 1

2. -1

3. i

4. Don’t know

Page 2: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

z and w are equal when z=3+4i and w=6+8i

Tru

e

Fal

se

Don’t

know

0% 0%0%

1. True

2. False

3. Don’t know

Page 3: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

If z=a+ib then what is b known as?

1 2 3 4

0% 0%0%0%

1. Real part of z

2. Constant part of z

3. Imaginary part of z

4. None of these

Page 4: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

If z=4+7i, find Re(z), Im(z) and |z|.

1 2 3 4 5

0% 0% 0%0%0%

65,7,41.

11,7,42.

65,4,73.

65,4,74.

Don’t know5.

Page 5: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

If z=-3+4i and w=2-6i, find 2z+w.

-4+1

4i

8+14

i

-4+2

i

8+2i

0% 0%0%0%

1. -4+14i

2. 8+14i

3. -4+2i

4. 8+2i

Page 6: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

If z=-3+4i and w=2-6i, find zw.

-30+

26i

-6-2

4i

18+

26i

None

of the

se

0% 0%0%0%

1. -30+26i

2. -6-24i

3. 18+26i

4. None of these

Page 7: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

If z=6+2i and w=-2+4i, find .

1 2 3 4

0% 0%0%0%

w

z

i3

7

3

1

1.

i2

13

2.

i5

7

5

1

3.

None of the above4.

Page 8: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

If z=-3+4i and w=2-6i, find |z-w|.

1 2 3 4

0% 0%0%0%

i25 1.

i1052.

293.

554.

Page 9: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

If z=-3+2i, find .

13 5

13-

12i

5+12

i

0% 0%0%0%

zz

1. 13

2. 5

3. 13-12i

4. 5+12i

Page 10: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

Find the roots of the equation .

1 2 3 4

0% 0%0%0%

0123 2 xx

23

1

1.

i23

1

2.

i3

2

3

1

3.

i3

4

3

1

4.

Page 11: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

Which of the following graphs represents z=3-2i?

0% 0%0%0%

1.

2.

3.

4.

Page 12: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

If z=a+ib in Cartesian form, what does z equal in polar form?

1 2 3 4

0% 0%0%0%

)cos(sin ir 1.

)sin(cos ir 2.

)cos(sin ir 3.

)sin(cos ir 4.

Page 13: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

Find the polar coordinate form of z=4+2i.

1 2 3 4

0% 0%0%0%

)6.26sin6.26(cos52 iz1.

)4.63sin4.63(cos52 iz2.

)6.26sin6.26(cos6 iz3.

)4.63sin4.63(cos6 iz4.

Page 14: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

Which of the following are true ifand

1 2 3 4

0% 0%0%0%

)sin(cos irz ?)sin(cos itw

))sin()(cos( irtzw 1.

))sin()(cos( it

r

w

z2.

Both of the above3.

Neither of the above4.

Page 15: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

Find a complex number expression in Cartesian form for .

-2i

2+i -i 2

i

0% 0%0%0%

22i

e

1. -2i

2. 2+i

3. -i

4. 2i

Page 16: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

Which of the following are correct?

1 2 3 4

0% 0%0%0%

2cos

ii ee

1.

2sin

ii ee

2.

2cosh

xx eex

3.

2sinh

xx eex

4.

Page 17: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

Which of the following is known as De Moivre’s theorem if p is a

rational number?

1 2 3 4

0% 0%0%0%

pipip sincossincos 1.

pipip sincossincos 2.

pipi p sincossincos 3.

pii p sincossincos 4.

Page 18: What does i 2 equal? 1.1 2.-1 3.i 4.Don’t know. z and w are equal when z=3+4i and w=6+8i 1.True 2.False 3.Don’t know

Find all the values of 271/3.

1 2 3 4

0% 0%0%0%

i2

33

2

3,3

1.

i2

33

2

3,3

2.

i2

3

2

1,0

3.

i2

3

2

1,27

4.