Find the average value of the function g(x) = lnx/x over the interval [1, e].

Step-by-step explanation:

Average Value of a Function

Given a function g(x), the average value of g in a given interval (xo,x1) is given by

Plugging in the given data

Let's compute the indefinite integral

We'll use the substitution u=lnx, du=dx/x. Then

Taking back the substitution

The average value is

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98