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Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows. Let f(x) = Vã and find the equation of the tangent line to f(x) at x = 125 in the form = mx + b. Note: The values of m and b are rational numbers which can be computed by hand. You need to enter expressions which give m and b exactly. You may not have a decimal point in the answers to either of these parts. b = Using these values, find the approximation. V125.1 2 Note: You can enter decimals for the last part, but it will has to be entered to very high precision (correct for 6 places past the decimal noint.

Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows. Let f(x) = Vã and find the equation of the tangent line to f(x) at x = 125 in the form = mx + b. Note: The values of m and b are rational numbers which can be computed by hand. You need to enter expressions which give m and b exactly. You may not have a decimal point in the answers to either of these parts. b = Using these values, find the approximation. V125.1 2 Note: You can enter decimals for the last part, but it will has to be entered to very high precision (correct for 6 places past the decimal noint.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows. Let f(x) = Vã and find the equation of the tangent line to f(x) at x = 125 in the form = mx + b. Note: The values of m and b are rational numbers which can be computed by hand. You need to enter expressions which give m and b exactly. You may not have a decimal point in the answers to either of these parts. b = Using these values, find the approximation. V125.1 2 Note: You can enter decimals for the last part, but it will has to be entered to very high precision (correct for 6 places past the decimal noint.
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows. Let f(x) = Vã and find the equation of the tangent line to f(x) at x = 125 in the form = mx + b. Note: The values of m and b are rational numbers which can be computed by hand. You need to enter expressions which give m and b exactly. You may not have a decimal point in the answers to either of these parts. b = Using these values, find the approximation. V125.1 2 Note: You can enter decimals for the last part, but it will has to be entered to very high precision (correct for 6 places past the decimal noint.
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