Find the most general antiderivative of the function. (Checkyour answer by differentiation. Use C for the constant ofthe antiderivative.)
f(x) =
f(x)=
f '(t) = sec(t)(sec(t) + tan(t)),    −− π/ 2< t < π/ 2 , f ( π/ 4) = −3
f(t)=
Find f. f '''(x) = cos(x),    f(0)= 2,    f '(0) = 3,    f''(0) = 5
f(x)=
A company estimates that the marginal cost (in dollars per item)of producing x items is 1.67 − 0.006x. If thecost of producing one item is $550, find the cost of producing 100items. (Round your answer to two decimal places.)
$=
What constant acceleration is required to increase the speed of acar from 28 mi/h to 50 mi/h in 2 seconds? (Round your answer to twodecimal places.)
ft/s^2
A particle is moving with the given data. Find the position ofthe particle.
a(t) = 17 sin(t) + 9 cos(t),    s(0) =0,    s(2π) = 12
s(t)=
