A population 01'500 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. Find the rate at which the population is growing when t = 4. (Round your answer to two decimal places.) P(t) = 500 ( 3 + 544+t t2) p'(4) = x bacteria/hour Find the given higher-order derivative. f"(x) = -sin(x), f (8) ( x ) f ( 8 ) ( x ) =The velocity of an object is v(t)=50t2,0sts5 where v is measured in meters per second and t is the time in seconds. Find the velocity v(5) and acceleration a(5) of the object when t = 5. v(5)=:x a