Consider the function z=f(x,y). Suppose fx = 2xy - y²+4, fy = x² - 2xy - y The maximum rate of change of the function at the point (-1,2) is 5 2 Let R = f(R1, R2) be the total resistance of two resistors, connected in parallel with resistance R1 and R2. Suppose the two resistors are measured as R₁ 12 and R2=8. with a possible relative error of ±3% in each case. Given that fr₁ (12,8) = 0.16, fR₂ (12,8) what is the maximum error in the calculated value R? 0.288 0.168 0.144 0.0156 0.36

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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Consider the function z=f(x,y). Suppose
fx = 2xy - y²+4, fy = x² - 2xy - y
The maximum rate of change of the function at the point (-1,2) is
5
2
Transcribed Image Text:Consider the function z=f(x,y). Suppose fx = 2xy - y²+4, fy = x² - 2xy - y The maximum rate of change of the function at the point (-1,2) is 5 2
Let R = f(R1, R2) be the total resistance of two resistors, connected in
parallel with resistance R1 and R2.
Suppose the two resistors are measured as R₁
12 and R2=8.
with a possible relative error of ±3% in each case. Given that
fr₁ (12,8) = 0.16,
fR₂ (12,8)
what is the maximum error in the calculated value R?
0.288
0.168
0.144
0.0156
0.36
Transcribed Image Text:Let R = f(R1, R2) be the total resistance of two resistors, connected in parallel with resistance R1 and R2. Suppose the two resistors are measured as R₁ 12 and R2=8. with a possible relative error of ±3% in each case. Given that fr₁ (12,8) = 0.16, fR₂ (12,8) what is the maximum error in the calculated value R? 0.288 0.168 0.144 0.0156 0.36
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