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How close is the approximation sin x = x when |x|<10-2? For which of these values of x is x > sinx? How close is the approximation? OA. Error <1.67 x 10-4 OB. Error <3.33 × 10-4 OC. Error <3.33 x 10-7 OD. Error <1.67 x 10-7 For which values of x in the interval - 10-2

How close is the approximation sin x = x when |x|<10-2? For which of these values of x is x > sinx? How close is the approximation? OA. Error <1.67 x 10-4 OB. Error <3.33 × 10-4 OC. Error <3.33 x 10-7 OD. Error <1.67 x 10-7 For which values of x in the interval - 10-2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How close is the approximation sin x = x when |x|<10-2? For which of these values of x is x> sinx? How close is the approximation? OA. Error <1.67 × 10-4 OB. Error <3.33 × 10-4 OC. Error <3.33 x 10-7 OD. Error <1.67 x 10-7 For which values of x in the interval - 10-2 <x< 102 is the approximation greater than sin x? OA. -10-2<x<0 Oc. -10-2<x<10-² OB. 0<x<10-2 OD. None of these values of x
Transcribed Image Text:How close is the approximation sin x = x when |x|<10-2? For which of these values of x is x> sinx? How close is the approximation? OA. Error <1.67 × 10-4 OB. Error <3.33 × 10-4 OC. Error <3.33 x 10-7 OD. Error <1.67 x 10-7 For which values of x in the interval - 10-2 <x< 102 is the approximation greater than sin x? OA. -10-2<x<0 Oc. -10-2<x<10-² OB. 0<x<10-2 OD. None of these values of x
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