An ice cube tray filled with tap water is placed in the freezer, and the temperature of the water is changing at the rate of -9e -0.2t degrees Fahrenheit per hour after t hours. The original temperature of the tap water was 60 degrees. (a) Find a formula for the temperature of water that has been in the freezer for t hours. T(t) = (b) When (in hours) will the ice be ready? (Water freezes at 32 degrees. Round your answer to the nearest hour.) t = hours
An ice cube tray filled with tap water is placed in the freezer, and the temperature of the water is changing at the rate of -9e -0.2t degrees Fahrenheit per hour after t hours. The original temperature of the tap water was 60 degrees. (a) Find a formula for the temperature of water that has been in the freezer for t hours. T(t) = (b) When (in hours) will the ice be ready? (Water freezes at 32 degrees. Round your answer to the nearest hour.) t = hours
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Find the sum of the areas of the shaded rectangles under the graph. [Hint: The width of each rectangle is the difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.]
The sum of the areas of the rectangles approximates the area under the curve, though not very well. Notice that every rectangle extends above the curve
f(x) =
,
and hence the rectangles provide an overestimate of the area.| 8 |
| x |
To find the areas of the rectangles, we recall (or look up in the text) the formula for the area of a rectangle:
A =
where h is the height and w is the width.We will need the width and height of each rectangle.
Transcribed Image Text:An ice cube tray filled with tap water is placed in the freezer, and the temperature of the water is changing at the rate of
-9e -0.2t
degrees Fahrenheit per hour after t hours. The original temperature of the tap water was 60 degrees.
(a) Find a formula for the temperature of water that has been in the freezer for t hours.
T(t)
=
(b) When (in hours) will the ice be ready? (Water freezes at 32 degrees. Round your answer to the nearest hour.)
t =
hours
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