a. Derive the linear approximation e x 1 + x at x = 0. b. Estimate
Question:
a. Derive the linear approximation ex ≈ 1 + x at x = 0.
b. Estimate to five decimal places the magnitude of the error involved in replacing ex by 1 + x on the interval [0, 0.2].
c. Graph ex and 1 + x together for -2 ≤ x ≤ 2. Use different colors, if available. On what intervals does the approximation appear to overestimate ex? Underestimate ex?
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a To derive the linear approximation of ex 1 x at x 0 we use the first two terms of the Maclaurin se...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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