HW5-problems - merino(aem2588 – HW5 – chen –(55405 1...

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Unformatted text preview: merino (aem2588) – HW5 – chen – (55405) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine f ( n ) ( x ) when f ( x ) = 1 1- 2 x . 1. f ( n ) ( x ) = 2 n ( n- 1)! (1- 2 x ) n 2. f ( n ) ( x ) = n ! (1- 2 x ) n +1 3. f ( n ) ( x ) = ( n- 1)! (1- 2 x ) n 4. f ( n ) ( x ) = 2 n n ! (1- 2 x ) n +1 5. f ( n ) ( x ) = (- 1) n 2 n n ! (1- 2 x ) n +1 6. f ( n ) ( x ) = (- 1) n 2 n ( n- 1)! (1- 2 x ) n 002 10.0 points Estimate the value of 18 1 / 4 using differen- tials. 1. 18 1 / 4 ≈ 65 32 2. 18 1 / 4 ≈ 2 3. 18 1 / 4 ≈ 63 32 4. 18 1 / 4 ≈ 33 16 5. 18 1 / 4 ≈ 67 32 003 10.0 points A weather balloon is rising vertically at 25 meters per minute. An observer is standing on the ground 16 meters from the point at which the balloon was released. Determine (in meters per minute) the rate at which the distance between the feet of the observer and the balloon is changing when the balloon is 12 meters high. ( Hint : remember 3-4-5 right triangles.) 1. rate = 18 meters/min 2. rate = 16 meters/min 3. rate = 19 meters/min 4. rate = 15 meters/min 5. rate = 17 meters/min 004 10.0 points Find f ′ ( x ) when f ( x ) = cos 2 x + 3 sin 2 x . 1. f ′ ( x ) = 8 sin x cos x 2. f ′ ( x ) = 4 sin x cos x 3. f ′ ( x ) =- 4 sin x cos x 4. f ′ ( x ) =- 8 sin x cos x 5. f ′ ( x ) =- 2 sin x + 6 cos x 6. f ′ ( x ) =- 2 sin x- 6 cos x 7. f ′ ( x ) = 2 cos x + 6 sin x 005 10.0 points Find dy dx...
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HW5-problems - merino(aem2588 – HW5 – chen –(55405 1...

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