1. Let f(x, y) = 3x²y+ 2y. Then f(1, –1) = -5. Use approximation (12.8.1) to estimate the value of f (0.98, -1.01). How large is the error caused by this approximation?

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
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4. Let f(x, y) = 3x²y+ 2y. Then f (1, - 1) =-5. Use approximation (12.8.1) to estimate the value
of f (0.98, –1.01). How large is the error caused by this approximation?
%D
Transcribed Image Text:4. Let f(x, y) = 3x²y+ 2y. Then f (1, - 1) =-5. Use approximation (12.8.1) to estimate the value of f (0.98, –1.01). How large is the error caused by this approximation? %D
LINEAR APPROXIMATION
The linear approximation to f(x, y) about (xo, yo) is
f(x, y) ~ f(xo, Yo) +fi(xo, Yo)(x – xo) +f½(xo, Yo) (y- yo)
(12.8.1)
Transcribed Image Text:LINEAR APPROXIMATION The linear approximation to f(x, y) about (xo, yo) is f(x, y) ~ f(xo, Yo) +fi(xo, Yo)(x – xo) +f½(xo, Yo) (y- yo) (12.8.1)
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