1 Preparation For Calculus 2 Limits And Their Properties 3 Differentiation 4 Applications Of Differentiation 5 Integration 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques, L’ho?pital’s Rule, And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-Valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
9.1 Sequences 9.2 Series And Convergence 9.3 The Integral Test And p-Series 9.4 Comparisons Of Series 9.5 Alternating Series 9.6 The Ratio And Root Tests 9.7 Taylor Polynomials And Approximations 9.8 Power Series 9.9 Representation Of Functions By Power Series 9.10 Taylor And Maclaurin Series Chapter Questions expand_more
Problem 59E: CONCEPT CHECK Polynomial Approximation An elementary function is approximated by a polynomial. In... Problem 62E Problem 63E Problem 1E: Matching In Exercises 5-8, match the Taylor polynomial approximation of the function f(x)=ex2/2 with... Problem 2E Problem 3E Problem 4E Problem 5E: Finding a First-Degree Polynomial Approximation In Exercises 9-12, find a first- degree polynomial... Problem 6E: Finding a First-Degree Polynomial Approximation In Exercises 9-12, find a first- degree polynomial... Problem 7E Problem 8E: Finding a First-Degree Polynomial Approximation In Exercises 9-12, Find a first- degree polynomial... Problem 9E: Graphical and Numerical Analysis In Exercises 13 and 14, use a graphing utility to graph f and its... Problem 10E Problem 11E: Conjecture Consider the function f(x)=cosx and its Maclaurin polynomials P2, P4, and P6 (see Example... Problem 12E Problem 13E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 14E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 15E Problem 16E Problem 17E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 18E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 19E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 20E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 21E Problem 22E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 23E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 24E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 25E: Finding a Taylor PolynomialIn Exercises 27-32, find the n th Taylor polynomial for the function,... Problem 26E: Finding a Taylor Polynomial In Exercises 2530, find the nth Taylor polynomial centered at c.... Problem 27E Problem 28E: Finding a Taylor PolynomialIn Exercises 27-32, find the n th Taylor polynomial for the function,... Problem 29E: Finding a Taylor PolynomialIn Exercises 27-32, find the n th Taylor polynomial for the function,... Problem 30E Problem 31E Problem 32E Problem 33E: Numerical and Graphical Approximations (a) Use the Maclaurin polynomials P1(x),P3(x), and P5(x) for... Problem 34E Problem 35E Problem 36E Problem 37E: Identifying Maclaurin Polynomials In Exercises 3740, the graph of y = f(x) is shown with four of its... Problem 38E Problem 39E Problem 40E Problem 41E: Approximating a Function Value In Exercises 39-44, approximate the function at the given value of x,... Problem 42E Problem 43E Problem 44E Problem 45E: Using Taylors Theorem In Exercises 45-50, use Taylors Theorem to obtain an upper bound for the error... Problem 46E Problem 47E Problem 48E Problem 49E: Finding a Degree In Exercises 51-56, determine the degree of the Maclaurin polynomial required for... Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E: Finding Values In Exercises 59-62, determine the values of x for which the function can be replaced... Problem 57E Problem 58E Problem 60E Problem 61E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E format_list_bulleted