Let f and g be functions given by f(x)=x^3 and g(x)=x^2 lxl

a)find f(1/2), g(3), and g(negative square root of 2)

b) what is the domain of f?

c) what is the range of g?

d) evaluate f(-3)+g(-3)

e) compare and contrast f and g

f) is there a value of x such that f(x)-g(x)=128? if so find x. if not explain why no such value exists

g) is there a value of x such that f(x)-g(x)=-54? if so find x if not explain why no such value exists

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm