- 325e Here Pis measured in degrees Fahrenheit and tis the time in minutes since the potato was placed in the oven. (a) Make the graph of P versus t. (Suggestion: In choosing your graphing window, it is reasonable to look at the potato over no more than a 2-hour period. After that, it will surely be bu to a crisp. You may wish to look at a table of values to select span. Select the correct graph.) 400 400 300 300 200 P 200 100 100 40 60 100 130 60 100 120 L(min) L(min) 400 400 300 300 P P 200 200 100 100 60 60 100 (min) t(min) (b) What was the initial temperature of the potato? (Round your answer to the nearest whole number.) (C) Did the potato's temperature rise more during the first 30 minutes or the second 30 minutes of baking? O first 30 min O second 30 min What was the average rate of change per minute during the first 30 minutes? (Round your answer to two decimal places.) deg/min What was the average rate of change per minute during the second 30 minutes? (Round your answer to two decimal places.) |deg/min (d) Is this graph concave up or concave down? O concave up O concave down Explain what that tells you about how the potato heats up, and relate this to part (c). O The temperature is falling faster at later times than it was at first. O The temperature is not rising as fast at later times as it was at first. O The temperature is not falling as fast at later times as it was at first. O The temperature is rising faster at later times than it was at first. (e) The potato will be done when it reaches a temperature of 270 degrees. Approximate the time when the potato will be done. (Round your answer to the nearest whole number.) min (f) What is the temperature of the oven? (Round your answer to the nearest whole number.) Explain how you got your answer. (Hint: If the potato were left in the oven for a long time, its temperature would match that of the oven.)
- 325e Here Pis measured in degrees Fahrenheit and tis the time in minutes since the potato was placed in the oven. (a) Make the graph of P versus t. (Suggestion: In choosing your graphing window, it is reasonable to look at the potato over no more than a 2-hour period. After that, it will surely be bu to a crisp. You may wish to look at a table of values to select span. Select the correct graph.) 400 400 300 300 200 P 200 100 100 40 60 100 130 60 100 120 L(min) L(min) 400 400 300 300 P P 200 200 100 100 60 60 100 (min) t(min) (b) What was the initial temperature of the potato? (Round your answer to the nearest whole number.) (C) Did the potato's temperature rise more during the first 30 minutes or the second 30 minutes of baking? O first 30 min O second 30 min What was the average rate of change per minute during the first 30 minutes? (Round your answer to two decimal places.) deg/min What was the average rate of change per minute during the second 30 minutes? (Round your answer to two decimal places.) |deg/min (d) Is this graph concave up or concave down? O concave up O concave down Explain what that tells you about how the potato heats up, and relate this to part (c). O The temperature is falling faster at later times than it was at first. O The temperature is not rising as fast at later times as it was at first. O The temperature is not falling as fast at later times as it was at first. O The temperature is rising faster at later times than it was at first. (e) The potato will be done when it reaches a temperature of 270 degrees. Approximate the time when the potato will be done. (Round your answer to the nearest whole number.) min (f) What is the temperature of the oven? (Round your answer to the nearest whole number.) Explain how you got your answer. (Hint: If the potato were left in the oven for a long time, its temperature would match that of the oven.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Transcribed Image Text:P= 400 - 325e/50
Here Pis measured in degrees Fahrenheit and t is the time in minutes since the potato was placed in the oven.
(a) Make the graph of P versus t. (Suggestion: In choosing your graphing window, it is reasonable to look at the potato over no more than a 2-hour period. After that, it will surely be burn
to a crisp. You may wish to look at a table of values to select span. Select the correct graph.)
400
400
300
300
200
200
100
100
20
40
60
80
100
120
20
40
60
100
120
(min)
L(min)
400
400
300
300
P 200
P
200
100
100
20
40
60
120
20
40
60
80
100
120
1(min)
t(min)
(b) What was the initial temperature of the potato? (Round your answer to the nearest whole number.)
oF
(c) Did the potato's temperature rise more during the first 30 minutes or the second 30 minutes of baking?
O first 30 min
O second 30 min
What was the average rate of change per minute during the first 30 minutes? (Round your answer to two decimal places.)
|deg/min
What was the average rate of change per minute during the second 30 minutes? (Round your answer to two decimal places.)
deg/min
(d) Is this graph concave up or concave down?
O concave up
O concave down
Explain what that tells you about how the potato heats up, and relate this to part (c).
O The temperature is falling faster at later times than it was at first.
O The temperature is not rising as fast at later times as it was at first.
O The temperature is not falling as fast at later times as it was at first.
O The temperature is rising faster at later times than it was at first.
(e) The potato will be done when it reaches a temperature of 270 degrees. Approximate the time when the potato will be done. (Round your answer to the nearest whole number.)
min
(f) What is the temperature of the oven? (Round your answer to the nearest whole number.)
°F
Explain how you got your ansvwer. (Hint: If the potato were left in the oven for a long time, its temperature would match that of the oven.)
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