Let F(x) = ª* (sin(t), – cos(t), e¹ — e²) dt, x ≥ 1. (a) Find F'(x) and F"(x)] (b) Find and simplify F' . F". (c) Now find the maximum of the dot product found in part (b) if 1 ≤ x ≤ 4

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Chapter2: Second-order Linear Odes
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Let F(x) = ª* (sin(t), – cos(t), e¯¹ – e¹) dt, x ≥ 1.
(a) Find F'(x) and F"(x)]]
(b) Find and simplify F'. F".
(c) Now find the maximum of the dot product found in part (b) if 1 ≤ x ≤4.
Transcribed Image Text:I Let F(x) = ª* (sin(t), – cos(t), e¯¹ – e¹) dt, x ≥ 1. (a) Find F'(x) and F"(x)]] (b) Find and simplify F'. F". (c) Now find the maximum of the dot product found in part (b) if 1 ≤ x ≤4.
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