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:

Tax Advantage

Financial benefits and savings provided through exemptions, deductions, and credits that reduce the amount of tax owed.

Earned Income Credit

A refundable tax credit for low to moderate-income working individuals and families, aimed at decreasing the amount of tax owed and potentially returning money to the taxpayer.

Inflation

The rate at which the general level of prices for goods and services is rising, eroding purchasing power.

Credit for Child

A tax credit offered to taxpayers for each qualifying child, which can reduce the taxpayer's liability on a dollar-for-dollar basis.