Consider the following function. f(x) = sec(x), a=0, n=2, -0.4 ≤x≤0.4 (a) Approximate f by a Taylor polynomial with degreen at the number a. T₂(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round your answer to six decimal places.) IR₂(x) s

Consider the following function. f(x) = sec(x), a=0, n=2, -0.4 ≤x≤0.4 (a) Approximate f by a Taylor polynomial with degreen at the number a. T₂(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round your answer to six decimal places.) IR₂(x) s

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.4: Total Differentials And Approximations

Problem 10E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...

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