# Answer to Question #8700 in Functional Analysis for sami

Question #8700

4:4

A company that manufactures thermos has developed a new thermos. By means of measurements have been studied its ability to maintain the temperature of the beverages. For coffee, it has been concluded that the following formula applies under certain conditions:

f (t) = 85 ∙ e r (t -0.038)

where f (t) is the temperature in ℃ and t is time in hours after coffee poured in.

a) Calculate the temperature of the coffee after 24 hours.

b) Formulate a question to be answered with the help of the solution to the equation

f (t) = 50

c) Solve the equation and answer your question.

d) What does the value f '(5) on the coffee?

e) Give one condition that must be satisfied for the formula to apply

A company that manufactures thermos has developed a new thermos. By means of measurements have been studied its ability to maintain the temperature of the beverages. For coffee, it has been concluded that the following formula applies under certain conditions:

f (t) = 85 ∙ e r (t -0.038)

where f (t) is the temperature in ℃ and t is time in hours after coffee poured in.

a) Calculate the temperature of the coffee after 24 hours.

b) Formulate a question to be answered with the help of the solution to the equation

f (t) = 50

c) Solve the equation and answer your question.

d) What does the value f '(5) on the coffee?

e) Give one condition that must be satisfied for the formula to apply

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