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/sec) 88 60 40 25
a) Give lower and upper estimatesof the
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 _ [at
_ 1 1 :- # 311;,i22P2w P 3.
- f'§(2?ml>2j *7 3 a 65
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 makes with the ground is increasing at the rate of 0.2
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 7cer
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= E! bAr EL We O~g¢f5 vakve. cF £04 anxe [I ZJ
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 V1 $52? /
b) Use Fundamental Theorem
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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. )
(3/27) : )oca max
2. (NC) Determine where y = 5 x% is c
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'at which pollutants are escaping inth'e gas are aS'foll