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

question 163

Essay

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).

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Definitions:

Humanism

A philosophical and ethical stance that emphasizes the value and agency of human beings, individually and collectively, often preferring critical thinking and evidence over dogma or superstition.

Negative Reinforcement

A psychological principle where the removal of a negative condition strengthens or increases the likelihood of a behavior.

Positive Reinforcement

A process where introducing a stimuli following a behavior leads to an increase in the frequency of that behavior, reinforcing the desired action.

Positive Punishment

A method in behavioral psychology that involves adding an unfavorable outcome in response to an undesirable behavior to decrease its occurrence.