The linear and quadratic approximations of a function f at x = a are P 1 (x)
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The linear and quadratic approximations of a function f at x = a are P1(x) = f′(a)(x − a) + f (a) and P2(x) = 1/2 f ″(a)(x − a)2 + f′(a)(x − a) + f (a).
(a) Find the specified linear and quadratic approximations of f,
(b) Use a graphing utility to graph f and the approximations,
(c) Determine whether P1 or P2 is the better approximation, and
(d) State how the accuracy changes as you move farther from x = a.
Transcribed Image Text:
f(x) = = sec x; a a = 6
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a To find the linear and quadratic approximations of fx secx at x 6 we need to first find the first ...View the full answer
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Related Book For
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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