Deck 6: Extension F: Applications of Integration

Question 1

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 ?

A)
B)
C)
D)
E)

Answer 1

Question 2

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

A)
B)
C) Diverges
D)

Answer 2

Question 3

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

A) 0
B) Diverges
C)
D)

Answer 3

Question 4

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

A) 0
B) Diverges
C) 6
D) 3

Question 5

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

A)
B)
C)
D)
E) none of these

Question 6

Evaluate the integral or show that it is divergent.