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Find the second Taylor polynomial T2(x) for the function f(x) = cos⁡(x) based at b = π6. T2(x) = Let a be a positive real number and let J be the closed interval [π6−a, π6+a]. Use the Quadratic Approximation Error Bound to verify that |f(x)−T2(x)| ≤ a33! for all x in J Use this error bound to find a value of a so that |f(x) − T2(x)| ≤ 0.01 for all x in J. (Round your answer to six decimal places. ) a =

Find the second Taylor polynomial T2(x) for the function f(x) = cos⁡(x) based at b = π6. T2(x) = Let a be a positive real number and let J be the closed interval [π6−a, π6+a]. Use the Quadratic Approximation Error Bound to verify that |f(x)−T2(x)| ≤ a33! for all x in J Use this error bound to find a value of a so that |f(x) − T2(x)| ≤ 0.01 for all x in J. (Round your answer to six decimal places. ) a =

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Find the second Taylor polynomial T 2 ( x ) for the function f ( x ) = cos ⁡ ( x ) based at b = π 6 .
T 2 ( x ) = ◻
Let a be a positive real number and let J be the closed interval [ π 6 − a , π 6 + a ] . Use the Quadratic Approximation Error Bound to verify that | f ( x ) − T 2 ( x ) | ≤ a 3 3 ! for all x in J
Use this error bound to find a value of a so that | f ( x ) − T 2 ( x ) | ≤ 0.01 for all x in J . (Round your answer to six decimal places.)
a =

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