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12345Using formulas

Solutions to the exercises

Exercise 1
a

cm3

b

804.25 cm3

c

V = 16 π r 2

d

-

e

for instance h = ( 1000 ) ( π r 2 ) . You could have made r the subject as well.

Exercise 2
a

Relation between two variables. GR: Y1=X^3

b

Relation between two variables. GR: Y1=400–5*X^2

c

Not a relation between two variables.

Exercise 3
a

y = - 0 . 5 x + 2 . 5

b

y = 2 3 x + 2

c

y = ± 4 ( x )

d

y = 6 / x 2

Exercise 4
a

- 2 x 3 - 12 x 2

b

- x 2 - 8 x

c

t 2 + 15 t - 100

d

3 x 3 - 2 x 2 + 3 x - 2

e

a 2 - 9

f

36 x 2 - 36 x + 9

Exercise 5
a

3000 units

b

3400 units

c

€ 200

d

R = p q = p ( 4000 - 20 p ) = 4000 p - 20 p 2

e

-

f

p = 100

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