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Problems 14 (11-27)

# Problems 14 (11-27) - mao(tm23477 Hw 14 gualdani(57180 This...

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mao (tm23477) – Hw 14 – gualdani – (57180) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the value of f (1) when f ( x ) = 5 sin 1 x + tan 1 x . 1. f (1) = 11 4 π 2. f (1) = 9 4 π 3. f (1) = 7 4 π 4. f (1) = 5 4 π 5. f (1) = 3 4 π 002 10.0 points Find the exact value of sin 1 parenleftBig 3 2 parenrightBig in the interval parenleftBig 0 , π 2 parenrightBig . 1. π 6 2. π 5 3. π 7 4. π 4 5. π 3 003 10.0 points Simplify the expression y = sin parenleftbigg tan 1 x 7 parenrightbigg by writing it in algebraic form. 1. y = x x 2 + 7 2. y = 7 x 2 + 7 3. y = x x 2 - 7 4. y = x x 2 + 7 5. y = x 2 + 7 7 004 10.0 points Simplify the expression f ( x ) = sin ( tan 1 x ) . 1. f ( x ) = radicalbig 1 + x 2 2. f ( x ) = 1 1 - x 2 3. f ( x ) = radicalbig 1 - x 2 4. f ( x ) = x 1 + x 2 5. f ( x ) = x 1 - x 2 6. f ( x ) = 1 1 + x 2 005 10.0 points Determine if lim x → ∞ sin 1 parenleftbigg 3 + 2 x 4 + 2 x parenrightbigg exists, and if it does, find its value.

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