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12345Characteristics

Solutions to the exercises

Exercise 1
a

v.a.: x = 0 and h.a.: y = 4
D f = , 0 0 ,
B f = , 4 4 ,

b

v.a.: x = 0 and h.a.: y = - 1
D g = , 0 0 ,
B g = , - 1 - 1 ,

c

v.a.: x = - 2 and x = 2 en h.a.: y = 0
D h = , - 2 - 2 , 2 2 ,
B h =

d

v.a.: none, and h.a.: y = 1
D k =
B k = , 1 1 ,

Exercise 2
a

the range is [ 0.011 ; 22 ]

b

High pitch, wavelength 0.00275 m

c

low (bass) sounds, wavelength longer than 16.5 m

d

W approaches 0 m.

Exercise 3
a

( 0 , 0 )

b

v.a.: x = 20 and h.a.: y = 10

c

-200 x 200 and 0 y 50

d

[ 0 ,

Exercise 4
a

12.83

b
c

av I C = TC q
av I C = 100 q + 0 . 1 q

d

v.a.: q = 0

The range is [ 6 . 32 ;

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