2 4+1 +6 Let f(x,y) = G) Find the linearization ((x,y) near P. (1,-2). 6) Use (a) to estimate f(0.98,-2.03) L (0.98,-2.03 ≈ =) Find an upper bound for the magnitude (abs.value) of the rror. E in the E in the approximation P(x,y) ~ L(x,y) over the rectans R:0.9≤x≤1.1, -2.1≤ y ≤ -1.9 • may use decimals (and a calculato- For this problem only, please hav cour calculations correct to at least six digits after the decimal point. You
2 4+1 +6 Let f(x,y) = G) Find the linearization ((x,y) near P. (1,-2). 6) Use (a) to estimate f(0.98,-2.03) L (0.98,-2.03 ≈ =) Find an upper bound for the magnitude (abs.value) of the rror. E in the E in the approximation P(x,y) ~ L(x,y) over the rectans R:0.9≤x≤1.1, -2.1≤ y ≤ -1.9 • may use decimals (and a calculato- For this problem only, please hav cour calculations correct to at least six digits after the decimal point. You
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question

Transcribed Image Text:#6
6 Let f(xy)= 2x
у+1
Find the linearization
L(x,y) near P. (1,-2).
(b) Use (a) to estimate
(0.98,-2.03) L (0.98,-2.03)
(c) Find an upper bound for the
magnitude (abs.value) of the
error. E in the approximation
f(x,y)~L (cy) over the rectangle
R: 0.96x≤1.1, -2.1≤ y ≤ -1.9
You may use decimals (and a calculator)
have
for this problem only, please
your calculations correct to
at least six digits after
the decimal point.
You
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Step 1: Define the problem
VIEWStep 2: Determine the first order derivative of given function
VIEWStep 3: Determine the linearization of f(x,y)
VIEWStep 4: Determine the value of f(0.98,-2.03)
VIEWStep 5: Determine the upper bound error
VIEWStep 6: Determine the values of second order partial derivative at point (1,-2)
VIEWStep 7: Determine the upper bound of the magnitude of error
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