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# hw11 - sakerwalla(hs9229 HW11 milburn(54685 1 This...

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sakerwalla (hs9229) – HW11 – milburn – (54685) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001(part1of3)10.0points Let f be the function defined by f ( x ) = x radicalbig 1 - x 2 + 4 on [ - 1 , 1]. (i) Find the derivative of f . 1. f ( x ) = 2 - x 2 1 - x 2 2. f ( x ) = radicalbig 1 - x 2 3. f ( x ) = 2 x radicalbig 1 - x 2 4. f ( x ) = 1 - x 2 2 x 2 5. f ( x ) = 1 - 2 x 2 1 - x 2 6. f ( x ) = 2 x 1 - x 2 002(part2of3)10.0points (ii) Find all the critical points of f in ( - 1 , 1). 1. x = 1 2 2. x = 1 4 3. x = ± 1 4 4. x = 1 2 5. x = ± 1 2 6. x = ± 1 2 003(part3of3)10.0points (iii) Determine the absolute maximum value of f on [ - 1 , 1]. 1. abs. max. value = 7 2 2. abs. max. value = 5 3. abs. max. value = 11 2 4. abs. max. value = 3 5. abs. max. value = 9 2 6. abs. max. value = 4 004 10.0points If f is the function whose graph is given by 2 4 6 2 4 6 which of the following properties does f have? A. critical point at x = 2 , B. f ( x ) > 0 on ( - 1 , 2) , C. local minimum at x = 4 .

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hw11 - sakerwalla(hs9229 HW11 milburn(54685 1 This...

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