Write the relationship using function notation Force F is a

Write the relationship using function notation: Force F, is a function of mass m.

Using the table below, fill in the missing values :

a) f(0)=_________

b f(2)=_________

c) f(-2)=_________

d) f(_________)=-1

e) f(_________) =1

Write a formula for the area of a circle as a function of the diameter. Calculate the percent increase in the area if the diameter is increased by 50%

Solution

force F = mass m * acceleration a

a) f(0)=___0______

b f(2)=___8______

c) f(-2)=___-8______

d) f(___-1______)=-1

e) f(____1_____) =1

leet diameter =d , area =a

a=(/4)d²

diameter is increased by 50% =>new diameter D =(1+(50/100))d =1.5d

new area A=(/4)D²

A=(/4)(1.5d)²

A=2.25(/4)d²

A=2.25a

A/a =2.25

(A-a)/a =2.25-1

(A-a)/a=1.25

((A-a)/a)*100%=1.25 *100%

((A-a)/a)*100%=125 %

area increases by 125%