PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Chapter 3.5, Problem 62E
To determine

To find: the steaks are thawed in time to be grilled at 6 P.M.

Expert Solution & Answer
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Answer to Problem 62E

Yes, the steaks are thawed in time to be grilled at 6 P.M.

The temperature of steaks is T=30∘F to be grilled at 6 P.M.

Explanation of Solution

Given information: Take a five-pound package of steaks out of a freezer at 11 A.M. and

place it in a refrigerator. Assuming that the refrigerator temperature is 40 ∘ F and the

freezer temperature is 0 ∘ F, can use Newton’s Law of cooling to derive the formula:

  t=−5.05lnT−400−40 .

Where t is the time in hours (with t = 0 corresponding to 11 A.M.) and T is the temperature of the package of steaks (in degree Fahrenheit).

Calculation:

  t=−5.05lnT−400−40 .

For 6 P.M. , t = 7 (with t = 0 corresponding to 11 A.M.)

  7=−5.05lnT−400−40lnT−400−40=−75.05T−400−40=e−75.05T−40=(−40)e−75.05T=(−40)e−75.05+40T=30∘F

Therefore, yes the steaks are thawed in time to be grilled at 6 P.M.

The temperature of steaks is T=30∘F .

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Chapter 3.5, Problem 61E
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Chapter 3.5, Problem 63E

Chapter 3 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY