Exam 6: Extension F: Applications of Integration

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Determine whether the improper integral converges or diverges,and if it converges,find its value. Determine whether the improper integral converges or diverges,and if it converges,find its value.

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C

Let a and b be real numbers.What integral must appear in place of the question mark "?" to make the following statement true? Let a and b be real numbers.What integral must appear in place of the question mark ? to make the following statement true?

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Determine whether the improper integral converges or diverges,and if it converges,find its value. Determine whether the improper integral converges or diverges,and if it converges,find its value.

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B

Evaluate the integral or show that it is divergent. Evaluate the integral or show that it is divergent.

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A manufacturer of light bulbs wants to produce bulbs that last about A manufacturer of light bulbs wants to produce bulbs that last about   hours but,of course,some bulbs burn out faster than others.Let   be the fraction of the company's bulbs that burn out before t hours.   lies between 0 and 1. Let   What is the value of   ? hours but,of course,some bulbs burn out faster than others.Let A manufacturer of light bulbs wants to produce bulbs that last about   hours but,of course,some bulbs burn out faster than others.Let   be the fraction of the company's bulbs that burn out before t hours.   lies between 0 and 1. Let   What is the value of   ? be the fraction of the company's bulbs that burn out before t hours. A manufacturer of light bulbs wants to produce bulbs that last about   hours but,of course,some bulbs burn out faster than others.Let   be the fraction of the company's bulbs that burn out before t hours.   lies between 0 and 1. Let   What is the value of   ? lies between 0 and 1. Let A manufacturer of light bulbs wants to produce bulbs that last about   hours but,of course,some bulbs burn out faster than others.Let   be the fraction of the company's bulbs that burn out before t hours.   lies between 0 and 1. Let   What is the value of   ? What is the value of A manufacturer of light bulbs wants to produce bulbs that last about   hours but,of course,some bulbs burn out faster than others.Let   be the fraction of the company's bulbs that burn out before t hours.   lies between 0 and 1. Let   What is the value of   ? ?

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Determine whether the improper integral converges or diverges,and if it converges,find its value. Determine whether the improper integral converges or diverges,and if it converges,find its value.

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