The Oxygen Consumption of a Bird Embryo Increases from the Time

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
$c ( t ) = 0.00279 t ^ { 3 } + 0.133 t ^ { 2 } - 0.893 t + 0.14 , ( 8 \leq t \leq 30 )$
Where t is the time (in days) since the egg was laid. (An egg will typically hatch at around $t = 28$ .)

Find $c ^ { \prime } ( 26 )$ . Round your answer to two decimal places.

A) $c ^ { \prime } ( 26 ) = 3.63$
B) $c ^ { \prime } ( 26 ) = 8.22$
C) $c ^ { \prime } ( 26 ) = 11.68$
D) $c ^ { \prime } ( 26 ) = 0.36$
E) $c ^ { \prime } ( 26 ) = - 2.15$

Correct Answer:

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