At the end of the exam, all of a sudden your calculator breaks down. All you have left to do is to compute the value at (2.95,12.2) of the function f(x,y) = √xy, rounded to two decimals. You decide to put to work what you have learned in the math course: • You note that f (3, 12) = 6 and that (2.95, 12.2) is close to (3, 12). • You use the linear approximation of the function f at the point (3, 12) to compute an approxi- mate value for f (2.95, 12.2). • Is your rounded outcome on the exam correct?
At the end of the exam, all of a sudden your calculator breaks down. All you have left to do is to compute the value at (2.95,12.2) of the function f(x,y) = √xy, rounded to two decimals. You decide to put to work what you have learned in the math course: • You note that f (3, 12) = 6 and that (2.95, 12.2) is close to (3, 12). • You use the linear approximation of the function f at the point (3, 12) to compute an approxi- mate value for f (2.95, 12.2). • Is your rounded outcome on the exam correct?
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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At the end of the exam, all of a sudden your calculator breaks down. All you have left to do is to compute the value at (2.95,12.2) of the function f(x,y) = √xy, rounded to two decimals. You decide to put to work what you have learned in the math course:
• You note that f (3, 12) = 6 and that (2.95, 12.2) is close to (3, 12).
• You use the linear approximation of the function f at the point (3, 12) to compute an approxi-mate value for f (2.95, 12.2).
• Is your rounded outcome on the exam correct?
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