homework1 - Is there a function (deFned for x >...

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Math 1120 Homework 1 Due 9/1 or 9/2, 2011 Name: GRADES Book questions / 7 Presentation questions / 35 Print out these pages. Answer the “presentation questions” in the spaces provided. Include full explanations and write your answers in complete, mathematically and grammatically correct sentences. Your answers will be assessed for style and accuracy; you will be given written feedback on these prob- lems. Write your answers to the “book questions” on separate paper and staple to these pages. They will be assessed only for completeness. Always write neatly and legibly. Book questions — 5.4: 4, 28, 36, 40, 46, 52, 76 Presentation questions 1. [10 points] (5.4: 58) Find the total area between the curve y = 3 x 2 - 3 - 2 x 2 and the x -axis. CONTINUE TO THE NEXT PAGE.
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Math 1120, Fall 2011 Homework 1 — due 9/1 or 9/2 2 2. [10 points]
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Unformatted text preview: Is there a function (deFned for x > 0) whose derivative is the following function? f ( x ) = x 3 + x, x > ( Explain your answer: give a reason why there is no such function or state a theorem which tells us that there is such a function. ) CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 1 due 9/1 or 9/2 3 3. The following is a sketch of a function f ( s ), for 0 s 4. Let g ( t ) = i t f ( s ) ds for 0 t 4. (a) [5 points] What is g (1)? (b) [5 points] Find the values of t in the interval [0 , 4] where g attains its absolute (global) maximum and absolute minimum. (c) [5 points] Find all values of t in the interval (0 , 4) where g has points of inection (that is, its second derivative changes sign). THIS IS THE LAST PAGE....
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homework1 - Is there a function (deFned for x >...

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