Determine the values of $x$ for which the given linear approximation is accurate to within $0.07$ at $a = 0$.
$\tan x \approx x$
A) $- 0.19

Question

Determine the values of $x$ for which the given linear approximation is accurate to within $0.07$ at $a = 0$.
$\tan x \approx x$
A) $- 0.19 < x < 0.28$
B) $- 0.57 < x < 0.57$
C) $\quad 0.06 < x < 0.68$
D) $- 1.04 < x < 1.55$
E) $- 0.71 < x < 0.48$

Quizplus · Accepted Answer

The linear approximation $\tan x \approx x$ is accurate when the difference $|\tan x - x|$ is less than $0.07$. This occurs approximately within the interval $-0.57 < x < 0.57$.

Determine the Values Of xxx For Which the Given Linear Approximation Is Accurate to Within

Determine the Values Of $x$ For Which the Given Linear Approximation Is Accurate to Within