A botanist in the field needs a quick estimate of the growth of jumping cholla cactus.In his study area, he has controlled the water and nutrients the jumping cholla receive so he can isolate the effect of sunlight on growth.He lets a function s(t)represent the average hours of sunlight per day in month t (where t = 1 is January).He lets a function g(s)represent the monthly growth of jumping cholla in centimeters at different sunlight exposures.From past experience, he quickly jots down the table below.
Suppose $h ( t ) = g ( s ( t ) )$ .
a)Find and interpret meaning of the quantity g(10).
b)Find and interpret the meaning of the quantity g'(10).
c)Find the interpret the meaning of the quantity h(10).
d)Find the interpret the meaning of the quantity h'(10).

Question

A botanist in the field needs a quick estimate of the growth of jumping cholla cactus.In his study area, he has controlled the water and nutrients the jumping cholla receive so he can isolate the effect of sunlight on growth.He lets a function s(t)represent the average hours of sunlight per day in month t (where t = 1 is January).He lets a function g(s)represent the monthly growth of jumping cholla in centimeters at different sunlight exposures.From past experience, he quickly jots down the table below.
  Suppose $h ( t ) = g ( s ( t ) )$ .
a)Find and interpret meaning of the quantity g(10).
b)Find and interpret the meaning of the quantity g'(10).
c)Find the interpret the meaning of the quantity h(10).
d)Find the interpret the meaning of the quantity h'(10).

Quizplus · Accepted Answer

The Answer of A botanist in the field needs a quick estimate of the growth of jumping cholla cactus.In his study area, he has controlled the water and nutrients the jumping cholla receive so he can isolate the effect of sunlight on growth.He lets a function s(t)represent the average hours of sunlight per day in month t (where t = 1 is January).He lets a function g(s)represent the monthly growth of jumping cholla in centimeters at different sunlight exposures.From past experience, he quickly jots down the table below.
  Suppose $h ( t ) = g ( s ( t ) )$ .
a)Find and interpret meaning of the quantity g(10).
b)Find and interpret the meaning of the quantity g'(10).
c)Find the interpret the meaning of the quantity h(10).
d)Find the interpret the meaning of the quantity h'(10).

A Botanist in the Field Needs a Quick Estimate of the Growth