# HW01 - chuang(jc52264 – HW01 – Radin –(54915 1 This...

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Unformatted text preview: chuang (jc52264) – HW01 – Radin – (54915) 1 This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. HW01 is a M408K review. If you have trouble with these problems, check out the re- fresher courses at SLCC listed on the first day handout. You can find the first day handout at www.ma.utexas.edu, Academics, Courses, M408L. HW01 overlaps HW02 and HW03 which cover new material. 001 10.0 points Find the value of lim x →− 3 4 x + 3 parenleftbigg 3 x 2 + 6- 1 5 parenrightbigg . 1. limit does not exist 2. limit = 4 25 3. limit = 8 25 4. limit = 8 15 5. limit = 4 15 002 10.0 points Find the derivative of f when f ( x ) = 1 + 2 cos x sin x . 1. f ′ ( x ) = 2 + sin x cos 2 x 2. f ′ ( x ) = 2 sin x- 1 cos 2 x 3. f ′ ( x ) = sin x- 2 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- cos x sin 2 x 7. f ′ ( x ) = 2 sin x + 1 cos 2 x 8. f ′ ( x ) =- 1 + 2 cos x sin 2 x 003 10.0 points Find the derivative of f when f ( x ) = 6 x cos2 x- 8 sin 2 x . 1. f ′ ( x ) =- 16cos 2 x + 12 x sin2 x 2. f ′ ( x ) =- 12 x sin2 x- 10 cos2 x 3. f ′ ( x ) =- 12 x sin2 x- 16cos 2 x 4. f ′ ( x ) = 12 x sin 2 x- 10 cos 2 x 5. f ′ ( x ) = 16cos 2 x- 10 x sin 2 x 004 10.0 points Find f ′ ( x ) when f ( x ) = 1 √ x 2- 4 x . 1. f ′ ( x ) = x- 2 (4 x- x 2 ) 1 / 2 2. f ′ ( x ) = 2- x (4 x- x 2 ) 3 / 2 3. f ′ ( x ) = 2- x ( x 2- 4 x ) 1 / 2 4. f ′ ( x ) = x- 2 ( x 2- 4 x...
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HW01 - chuang(jc52264 – HW01 – Radin –(54915 1 This...

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