BC; w mm Catastatv
é B
Let f be the function satisfying f (x) = 4x 2): f (x) for all real numbers x, with f (0) = 5 and
3211) =2- <3
(a) Find the value of I: (4x fo dx. Show the work that leads to your answer.
3 (b) Use Eulers method to approximate f (
I
v(t)
(feet per second)
( if f)
I ' ' I ,
RocketA has positive velocity v(t) after being launched upward from an initial height of 0 feet at time t = d\_
seconds. The velocity of the rocket is recorded for selected values of I over the interval 0 S t S
P.
The volume of a spherical hot air balloon expands as the air inside the balloon is heated. The radius of the
balloon, in feet, is modeled by a twice-differentiable function r oftime t, where 1 is measured in minutes. For
0 '< I < l2, the graph of r is
2, Quote. rw at. 49 (VM wit-MW M be m *~* a5 3
/x949~.$ Q (9:0,5532nl 371,. ' r = 6 + sin(26)
plane and is described by the equation in polar coordinates r = 0 + sin (20)
s. The derivative of r with respect,
The curve above is drawn in the xy
for 0 .<_ 0