| … | |
… | |
| 30 | |
30 | |
| 31 | $d = random(2,6,2) ; |
31 | $d = random(2,6,2) ; |
| 32 | |
32 | |
| 33 | BEGIN_TEXT |
33 | BEGIN_TEXT |
| 34 | |
34 | |
| 35 | Let \( T_{$d}(x) \) be the sixth degree Taylor polynomial of the function |
35 | Let \( T_{$d}(x) \) be the Taylor polynomial of degree \($d)\ for the function |
| 36 | \( f(x) = \cos(x) \) at \(a = 0 \). Suppose you approximate \( f(x) \) by \( T_{$d}(x) \). If \( |x| \leq 1 \), what is the bound for your error of your estimate? |
36 | \( f(x) = \cos(x) \) at \(a = 0 \). Suppose you approximate \( f(x) \) by \( T_{$d}(x) \). If \( |x| \leq 1 \), what is the bound for your error of your estimate? |
| 37 | $BR$BR |
37 | $BR$BR |
| 38 | $BITALIC Hint: use the alternating series approximation. $EITALIC $BR$BR |
38 | $BITALIC Hint: use the alternating series approximation. $EITALIC $BR$BR |
| 39 | |
39 | |
| 40 | Answer: \{ans_rule(20)\} |
40 | Answer: \{ans_rule(20)\} |
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