K The process of frying food changes its quality, texture, and color. Suppose the total change in color E (which is measured in the form of energy as kJ/mol) of blanched potato strips can be estimated by the function below, where C is the temperature (in °C) and t is the frying time (in min). Complete parts a through c. E(t.C)=433.36-10.97t-5.61C-0.021² +0.02c² +0.08ct a. What is the value of E prior to cooking? (Assume that C=0.) E= 433.36 kJ/mol (Type an integer or a decimal.) b. Use this function to estimate the total change in color of a potato strip that has been cooked for 5 minutes at 150°C. The total change in color is 46.51 kJ/mol. (Type an integer or a decimal.) c. Determine the critical point of this function and determine if a maximum, minimum, or saddle point occurs at that point. The critical point is at (t.C)=. (Type an ordered pair, using integers or decimals. Round two decimal places as needed.)
K The process of frying food changes its quality, texture, and color. Suppose the total change in color E (which is measured in the form of energy as kJ/mol) of blanched potato strips can be estimated by the function below, where C is the temperature (in °C) and t is the frying time (in min). Complete parts a through c. E(t.C)=433.36-10.97t-5.61C-0.021² +0.02c² +0.08ct a. What is the value of E prior to cooking? (Assume that C=0.) E= 433.36 kJ/mol (Type an integer or a decimal.) b. Use this function to estimate the total change in color of a potato strip that has been cooked for 5 minutes at 150°C. The total change in color is 46.51 kJ/mol. (Type an integer or a decimal.) c. Determine the critical point of this function and determine if a maximum, minimum, or saddle point occurs at that point. The critical point is at (t.C)=. (Type an ordered pair, using integers or decimals. Round two decimal places as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The process of frying food changes its quality, texture, and color. Suppose the total change in color \( E \) (which is measured in the form of energy as kJ/mol) of blanched potato strips can be estimated by the function below, where \( C \) is the temperature (in °C) and \( t \) is the frying time (in minutes). Complete parts a through c.
\[ E(t, C) = 433.36 - 10.97t - 5.61C - 0.02t^2 + 0.02C^2 + 0.08Ct \]
a. What is the value of \( E \) prior to cooking? (Assume that \( C = 0 \).)
\[ E = 433.36 \, \text{kJ/mol} \]
(Type an integer or a decimal.)
b. Use this function to estimate the total change in color of a potato strip that has been cooked for 5 minutes at 150°C.
\[ \text{The total change in color is } 46.51 \, \text{kJ/mol.} \]
(Type an integer or a decimal.)
c. Determine the critical point of this function and determine if a maximum, minimum, or saddle point occurs at that point.
\[ \text{The critical point is at } (t,C) = \boxed{}\]
(Type an ordered pair, using integers or decimals. Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46a4dff8-7f9e-4127-9d1e-ef0349b76ae2%2F7d23219d-2d09-49fe-8945-2486671419a4%2Fxnuxb8v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The process of frying food changes its quality, texture, and color. Suppose the total change in color \( E \) (which is measured in the form of energy as kJ/mol) of blanched potato strips can be estimated by the function below, where \( C \) is the temperature (in °C) and \( t \) is the frying time (in minutes). Complete parts a through c.
\[ E(t, C) = 433.36 - 10.97t - 5.61C - 0.02t^2 + 0.02C^2 + 0.08Ct \]
a. What is the value of \( E \) prior to cooking? (Assume that \( C = 0 \).)
\[ E = 433.36 \, \text{kJ/mol} \]
(Type an integer or a decimal.)
b. Use this function to estimate the total change in color of a potato strip that has been cooked for 5 minutes at 150°C.
\[ \text{The total change in color is } 46.51 \, \text{kJ/mol.} \]
(Type an integer or a decimal.)
c. Determine the critical point of this function and determine if a maximum, minimum, or saddle point occurs at that point.
\[ \text{The critical point is at } (t,C) = \boxed{}\]
(Type an ordered pair, using integers or decimals. Round to two decimal places as needed.)
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