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HW07-problems-1 - -1 3 y-3 √ 3 x = 1-√ 3 π 4 2 y-3 √...

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handa (nh5757) – HW07 – meth – (55830) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points Determine the derivative of f ( x ) = x 2 sin x + 2 x cos x . 1. f ( x ) = ( x 2 - 2) cos x 2. f ( x ) = - ( x 2 + 2) cos x 3. f ( x ) = - ( x 2 + 2) sin x 4. f ( x ) = - ( x 2 - 2) sin x 5. f ( x ) = ( x 2 + 2) sin x 6. f ( x ) = ( x 2 + 2) cos x 002 10.0points Find the x -intercept of the tangent line to the graph of f ( x ) = 3 sin x + cos x at the point (0 , f (0)). 1. x -intercept = - 1 3 2. x -intercept = 3 3. x -intercept = 1 4 4. x -intercept = 1 3 5. x -intercept = - 3 4 6. x -intercept = - 3 003 10.0points Find the derivative of f when f ( x ) = 2 - cos x sin x . 1. f ( x ) = sin x - 2 cos 2 x 2. f ( x ) = 1 - 2 cos x sin 2 x 3. f ( x ) = 2 + sin x cos 2 x 4. f ( x ) = - 1 + 2 cos x sin 2 x 5. f ( x ) = - 2 + cos x sin 2 x 6. f ( x ) = 2 sin x - 1 cos 2 x 7. f ( x ) = 2 - cos x sin 2 x 8. f ( x ) = 2 sin x + 1 cos 2 x 004 10.0points Find an equation for the tangent line to the graph of f ( x ) = 1 2 sec x - cos x at the point ( 1 3 π, f ( 1 3 π )). 1. 2 y - 3 x = 3 - 1 3 π 2. y + 3 3 x =
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Unformatted text preview: -1 3. y-3 √ 3 x = 1-√ 3 π 4. 2 y-3 √ 3 x = 1-√ 3 π 5. 2 y + 3 √ 3 x = √ 3 π-1 handa (nh5757) – HW07 – meth – (55830) 2 6. y-√ 3 x = 3-1 √ 3 π 005 10.0 points A ladder 18 feet long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π/ 3? 1. 9 ft/rad 2. 6 ft/rad 3. 5 ft/rad 4. 7 ft/rad 5. 8 ft/rad 006 10.0 points Determine if the limit lim x → sin 2 x sin 3 x exists, and if it does, Fnd its value. 1. limit = 2 3 2. limit doesn’t exist 3. limit = 3 4. limit = 2 5. limit = 3 2...
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