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.)

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Answer 1

Ans

THE ANSWER IS 68 CHIPS

Step-by-step 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.

Answer 2

Answer:

the number of chips tested between

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

Step-by-step explanation: