Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows. Let f(x) Va and find the equation of the tangent line to f(x) at x = 125 in the form y = 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. 1 m = 75 10 b = 3 Using these values, find the approximation. V125.1 || 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 point).

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) = VT and find the equation of the
tangent line to f(x) at x =
125 in the form y = 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.
1
75
10
b =
3
Using these values, find the approximation.
V125.1 |
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 point).
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows. Let f(x) = VT and find the equation of the tangent line to f(x) at x = 125 in the form y = 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. 1 75 10 b = 3 Using these values, find the approximation. V125.1 | 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 point).
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