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?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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  1. 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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