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Unformatted text preview: Name Homework 21
Sections 5.1 & 5.2 1. (1,2,1) A car initially going at 100 ft/sec brakes at a constant rate (constant negative
acceleration), coming to a stop in 10 seconds.
(a) Graph the velocity from t = 0 to t = 10. (b) How far does the car travel while braking? (c) How far does the car travel if its initial velocity is halved, but it brakes at the
same constant rate? 2. (3ea) At time t, measured in seconds, an object's velocity v, in meters/sec is given by
v (t) = t + t2
for 0 ≤ t ≤ 6.
Compute upper and lower estimates for the distance traveled (and average the two)
during this interval using:
(a) n = 1 (b) ∆t = 2 (c) ∆t = 3
2 3. (3) Compute exactly, without a calculator,
a picture. 4. (4) Number 32 on page 271.
(b) 2 f (x) dx =
2 f (x) dx =
−2 (c) The total shaded area is
(d) 2 |f (x)| dx =
−2 1 − x; dx. Hint : it may help to sketch ...
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This note was uploaded on 10/12/2011 for the course MATH 124 taught by Professor Kennedy during the Spring '08 term at Arizona.
- Spring '08