- 3 Suppose F 0 1 F 0 2 F 0 1 5 F 0 2 3 And F X 0 016 For 0 X 2 A Estimate F 1 By 1 (30.33 KiB) Viewed 85 times
3. Suppose f(0) = 1, ƒ'(0) = −2, ƒ"(0) = −1/5, ƒ""(0) = 2/3, and [ƒ(¹) (x)| ≤ 0.016 for 0 ≤ x ≤ 2. (a) Estimate ƒ(1) by
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3. Suppose f(0) = 1, ƒ'(0) = −2, ƒ"(0) = −1/5, ƒ""(0) = 2/3, and [ƒ(¹) (x)| ≤ 0.016 for 0 ≤ x ≤ 2. (a) Estimate ƒ(1) by
3. Suppose f(0) = 1, ƒ'(0) = −2, ƒ"(0) = −1/5, ƒ""(0) = 2/3, and [ƒ(¹) (x)| ≤ 0.016 for 0 ≤ x ≤ 2. (a) Estimate ƒ(1) by using a Taylor polynomial of degree 3. (b) Compute a good bound for the absolute error, using the Taylor remainder.