The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the chick hatches. In a typical galliform bird, the oxygen consumption, in milliliters per hour, can be approximated by
$c ( t ) = - 0.00272 t ^ { 3 } + 0.138 t ^ { 2 } - 0.8923 t + 0.1499 ( 6 \leq t \leq 30 )$ where t is time (in days) since the egg was laid. (An egg will typically hatch at around $t = 28$ .) Find the total amount of oxygen consumed during the ninth and tenth days ( $t = 8$ to $t = 10$ ). Round your answer to the nearest whole number.
A)64
B) 18
C) 50
D) 1,138
E) 467

Question

The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the chick hatches. In a typical galliform bird, the oxygen consumption, in milliliters per hour, can be approximated by
 $c ( t ) = - 0.00272 t ^ { 3 } + 0.138 t ^ { 2 } - 0.8923 t + 0.1499 ( 6 \leq t \leq 30 )$ where t is time (in days) since the egg was laid. (An egg will typically hatch at around $t = 28$ .) Find the total amount of oxygen consumed during the ninth and tenth days ( $t = 8$ to $t = 10$ ). Round your answer to the nearest whole number. 
A)64
B) 18
C) 50
D) 1,138
E) 467

Quizplus · Accepted Answer

To find the total amount of oxygen consumed during the ninth and tenth days, we need to integrate the given function from $t = 8$ to $t = 10$. The integral of $c(t) = -0.00272t^3 + 0.138t^2 - 0.8923t + 0.1499$ gives the total oxygen consumption over a period. After performing the integration and evaluating it from 8 to 10, the result is approximately 64 milliliters, rounded to the nearest whole number.

The Oxygen Consumption of a Bird Embryo Increases from the Time