(a) Explanation Given information: The temperature H, of a pot of soup in ∘ C is given by H = 5 + 95 e − 0.054 t . The function H = 5 + 95 e − 0.054 t represents an inverse exponential function. The inverse exponential functions are always decreasing functions. The function represents that there is an intercept which represents that the temperature of pot of soup will not decrease beyond 5 ∘ C . Thus, the temperature of the soup will decrease with time. For an example at time t = 0 the temperature. H = 5 + 95 e − 0.054 t H = 5 + 95 e − 0 (b) To determine To calculate: The rate of change of temperature change if the temperature H, of a pot of soup in ∘ C is given by H = 5 + 95 e − 0.054 t .

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 3.3, Problem 39P

(a)

To determine

To find if the temperature of the soup is increasing or decreasing with time if the temperature H, of a pot of soup in ∘C is given by H=5+95e−0.054t.

(b)

To determine

To calculate:

The rate of change of temperature change if the temperature H, of a pot of soup in ∘C is given by H=5+95e−0.054t.

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Chapter 3.3, Problem 38P

Chapter 3.3, Problem 40P

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To find if the temperature of the soup is increasing or decreasing with time if the temperature H, of a pot of soup in ∘ C is given by H = 5 + 95 e − 0.054 t .

Solution Summary: The author explains the function H=5+95e-0.054t, which represents an inverse exponential function.

Concept explainers

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To find if the temperature of the soup is increasing or decreasing with time if the temperature H, of a pot of soup in ∘C is given by H=5+95e−0.054t.

To calculate:

The rate of change of temperature change if the temperature H, of a pot of soup in ∘C is given by H=5+95e−0.054t.

Want to see the full answer?

Chapter 3 Solutions

To find if the temperature of the soup is increasing or decreasing with time if the temperature H, of a pot of soup in ∘ C is given by H = 5 + 95 e − 0.054 t .

Solution Summary: The author explains the function H=5+95e-0.054t, which represents an inverse exponential function.

Concept explainers

Videos

To find if the temperature of the soup is increasing or decreasing with time if the temperature H, of a pot of soup in ∘C is given by H=5+95e−0.054t.

To calculate: The rate of change of temperature change if the temperature H, of a pot of soup in ∘C is given by H=5+95e−0.054t.

Want to see the full answer?

Chapter 3 Solutions

To calculate:

The rate of change of temperature change if the temperature H, of a pot of soup in ∘C is given by H=5+95e−0.054t.