Calc In C .
l. A car slows for 3 seconds while the driver slams on the brakes. While the brakes are on, the
following velocities are recorded.
Time since brakes a lied (sec) 0 l 2 3
Velocity (ft/s
Use the Fundamental Theorem to evaluate each denite integral. Graph the curve and shade the
area represented. N/ C
Calculus Fundamental Theorem
1. [2x2 +1dx
i a do
22% .L
2J2 (20M)? ZJX
a w a _
6. A building '5 shadow. On a morning when the sun will pass directly overhead, the shadow of
an 80-. tall building on level ground is 60 11. long. At the moment in question, the angle 9
that the sun
Calculus BC; Average Value of a Function
Find the average value of each function on the given interval.
2. f(x)=xsinx Xé[_\,.fj
a ,J.
.755 = 5-: camcer
4. f(x)=coszx xe[-7r,7r]
; =4 1
m5 )rw C05 7
Calculus BC lm; . :
a) Compute withfnint'.\ /I 6
b) Find the exact value using the Fundamental Theorem.
é/fCSoc * 50'
l J- 5
:9 Meal], \1, /
.\ 7 5
= 2 /
2. races i dx
0 4
a) Use fnint V
Graphing Review - Chapter 4
Show your work on a separate sheet. (#1 #6)
1. (NC) Find all local extrema for f (x) = 4x3 x4 . Give your answers as ordered pairs.
Support with 1st derivative test. )
5. Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which
become less and less efcient as time goes on. Measurements made at the start of each month
showing therate'