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Solutions to the exercises

Exercise 1
a

t = 37 . 5

b

t = ± 5 

c

p = 16

d

x = ± 4

e

x = 7 of x = 3

f

a = 7

g

v = 0 . 03

h

there are no solutions because ( - 4 ) is not a real number

Exercise 2
a

x = 4

b

x = 1 x 1 . 35

Exercise 3
a

-

b

140 m3 costs € 283 per year and 160 m3 costs € 318, therefore between € 283 and € 318.

c

38 + 1 . 75 a = 250 gives a 121 . 143 therefore a maximum of 121 m3.

Exercise 4
a

p = 0 gives q = - 200
q = 0 gives p = 300

b

q = 0 gives W = 0
W = 0 gives q = 0 of q = 200

c

l = 0 gives k = ± ( 96 ) ± 9 . 80
k = 0 gives l = 8 of l = - 12

d

d = 0 gives a = 20
a = 0 does not lead to any value for d

Exercise 5
a

V = 200 π ( 1 . 5 + 0 . 5 a ) 2 - 450 π

b

Y1=200π(1.5+0.5a)^2-450π with window settings 0 x 1000 and 0 y 160000000

c

Approximately 23 dips

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