Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

68

Explanation:

The number of chips tested is the integral of the rate over the specified time interval: t = 2 to 6.

`\displaysyle n=\int_2^6{-3t^2+16t+5}\,dt=\left.-3(t^3)/(3)+16(t^2)/(2)+5t\right|_2^6\\\\=-(6^3-2^3) +8(6^2-2^2)+5(6-2)=-(216-8)+8(32) +5(4)\\\\=-208+256+20=\boxed{68}`

The technician can test 68 chips in that time period.