Page 179 4.2

  1. Water flows onto a flat surface at a rate of 5cm3/s forming a circular puddle 10mm deep. How fast is the radius growingwhen the radius is:
  1. 1 cm?
ans <- function(r){
  50/(2 * pi * r)
}

ans(1)
## [1] 7.957747
  1. 10 cm?
ans <- function(r){
  50/(2 * pi * r)
}

ans(10)
## [1] 0.7957747
  1. 100 cm?
ans <- function(r){
  50/(2 * pi * r)
}

ans(100)
## [1] 0.07957747