Question

Please help!!!

A technician can test video player chips at the rate of -3t^2 + 16t + 5 chips per hour (for 0 ≤ t ≤ 6), where t is the number of hours after 9:00 am. How many chips can be tested between 11:00 a.m. to 3:00 p.m.? (Assume t = 0 for 9:00 a.m.)

(Show work)

Answer 1

the number of chips tested between

11:00a.m. to 3:00p.m. is 68.

Explanation:

Answer 2

Ans

THE ANSWER IS 68 CHIPS

Explanation:

Given the rate of chips per hour,

`-3t^(2) + 16t +5` , where (0 ≤ t ≤ 6)

We have to calculate the chip tested between 11:00 a.m to 3:00p.m.

Assume t = 0 for 9:00 a.m (given in the question)

So from above we came put the value of t = 2 ,for 11:00 a.m and t = 6 for 3:00 p.m .

Now integrating the equation ,

`\int\limits^6_2( -3{t^(2) +16t+5 \, )dt`

By solving ,

[
`-t^(3) +8t^(2) +5`] where t varies from t = 2 to t = 6;

substituting the value of t, we get the value of integration as 68

∴ 68 is the answer.