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The function[tex]f(x)=-11sin (\frac{7}{3}x+\frac{1}{6}) - 2[/tex] models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.

Over what range of temperatures does the average rate of change in temperature fall?

The functiontexfx11sin frac73xfrac16 2tex models the average rate of change in temperature of a substance monitored in an experiment In the function x represent class=

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Range of temperatures does the average rate of change in temperature fall -13F and 9 F

What is formula for Fahrenheit?

The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.

Given function:

f(x)= -11 sin(7/3 x+ 1/6) -2

The function will be maximum at

7/3 x +1/6= 3π/2

So, the maximum temperature will be

= -11 sin (3π/2) -2

= 11 -2

=9 F

The function will be minimum at

7/3 x +1/6= π/2

So, the maximum temperature will be

= -11 sin (π/2) -2

= -11 -2

= -13 F

Learn more about this concept here:

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