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Solve the Problem xx Can We Replace cosx\cos x By 1x221 - \frac { x ^ { 2 } } { 2 }

Question 408

Multiple Choice

Solve the problem.
-For what values of xx can we replace cosx\cos x by 1x221 - \frac { x ^ { 2 } } { 2 } with an error of magnitude no greater than 4×1034 \times 10 ^ { - 3 } ?


A) 0.356x0.356- 0.356 \leq x \leq 0.356
B) 0.288x0.288- 0.288 \leq x \leq 0.288
C) 0.557x0.557- 0.557 \leq x \leq 0.557
D) 0.458x0.458- 0.458 \leq x \leq 0.458

Correct Answer:

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