2. (a) The function f is defined by f(x) = (9 + x)¹/². By evaluating ƒ(0), ƒ'(0), and ƒ"(x), write ƒ(x) as P₁(x) (the Taylor polynomial of degree 1) centred at 0, plus R₁(x) (the remainder term in Lagrange form). (b) By choosing an appropriate value of x, show that √10 19 6 1 8(9+ c) ³/2¹ where 0
2. (a) The function f is defined by f(x) = (9 + x)¹/². By evaluating ƒ(0), ƒ'(0), and ƒ"(x), write ƒ(x) as P₁(x) (the Taylor polynomial of degree 1) centred at 0, plus R₁(x) (the remainder term in Lagrange form). (b) By choosing an appropriate value of x, show that √10 19 6 1 8(9+ c) ³/2¹ where 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 20E
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could you pleaae do all parts and could the answer be written out please , not typed up. Thank you
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