scientists have demonstrated that if you take a arrow, vertical tube and fill it

Question

scientists have demonstrated that if you take a arrow, vertical tube and fill it partway with liquid , the liquid tube will rise and fall based on the temperature. if we have such a tube of liquid, there is a function h, where h(x) computes the height of the liquid in cm when the temperature is x degree Fahrenheit. a) h(32)=1. what does this equation mean in physical terms? b) H(212)=10. what does this equation mean in physical terms? C) based on the information in (a) and (b) give two values of the inverse function h-1 D) what does the inverse function h-1 compute? E) there is a wondrous device, currently available at any local drugstore, that evaluates the inverse function h-1. What is the name of this device?

Explanation / Answer

a) As given in question h(32) = 1 tells that height of the liquid is 1cm at 32Fahrenheit.

b) Similarly h(212) = 10 tells that height of the liquid is 10cm at 212Fahrenheit.

c) From a) and b) h-1(1) = 32 and h-1(10) = 212.

d) The inverse function computes the temperature in Fahrenheit for any given length of liquid in cm.

e) This device is called "Thermometer".

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