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problem10_pdf

# problem10_pdf - rabbani(tar547 Homework10 Fouli(58395 This...

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rabbani (tar547) – Homework10 – Fouli – (58395) 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 10.0 points Determine the increasing and decreasing properties of the function f ( x ) = ( x - 1) 4 5 ( x + 2) 1 5 on its natural domain. 1. inc: [ - 7 5 , 1] , dec: [ - 2 , - 7 5 ] [1 , ) 2. inc: [ - 2 , - 7 5 ] , dec: [ - 7 5 , ) 3. inc: ( -∞ , - 7 5 ] [1 , ) , dec: [ - 7 5 , 1] 4. inc: ( -∞ , - 2] [1 , ) , dec: [ - 2 , 1] 5. inc: [ - 2 , - 7 5 ] [1 , ) , dec: [ - 7 5 , 1] 002 10.0 points Find all values of x at which the graph of y = x 2 - 4 cos x changes concavity on ( - π/ 2 , π/ 2). 1. x = - π 3 , π 3 2. x = π 6 3. x = - π 6 , π 6 4. there are no values of x 5. x = - π 3 6. x = π 3 7. x = - π 6 003 10.0 points Let f be the function defined by f ( x ) = x - cos 2 x, - π x π . Determine all interval(s) on which f is de- creasing. 1. [ - π 6 , - π 12 ] , [ π 6 , 11 π 12 ] 2. [ - 5 π 12 , - π 6 ] , [ π 6 , 11 π 12 ] 3. [ - π, - 5 π 12 ] , [ 7 π 12 , π ] 4. [ - 5 π 12 , - π 12 ] , [ 7 π 12 , 11 π 12 ] 5. [ - 5 π 12 , - π 8 ] , [ 3 π 8 , 11 π 12 ] 004 (part 1 of 2) 10.0 points Let f be the function defined by f ( x ) = x parenleftBig 2 + 1 3 x 2 - 1 5 x 4 parenrightBig . (i) Determine the derivative of f .

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