Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Textbook Question
Chapter 16.2, Problem 2PT
True or False:
The curve at the right appears to be piecewise smooth.
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Problem 11 (a) A tank is discharging water through an orifice at a depth of T
meter below the surface of the water whose area is A m². The
following are the values of a for the corresponding values of A:
A 1.257 1.390
x 1.50 1.65
1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650
1.80 1.95 2.10 2.25 2.40 2.55 2.70
2.85
Using the formula
-3.0
(0.018)T =
dx.
calculate T, the time in seconds for the level of the water to drop
from 3.0 m to 1.5 m above the orifice.
(b) The velocity of a train which starts from rest is given by the fol-
lowing table, the time being reckoned in minutes from the start
and the speed in km/hour:
| † (minutes) |2|4 6 8 10 12
14 16 18 20
v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0
Estimate approximately the total distance ran in 20 minutes.
X
Solve numerically:
= 0,95
In x
X
Solve numerically:
= 0,95
In x
Chapter 16 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
Ch. 16.1 - For F(x,y)=(x+y)i+(2x4y)j, which vector, a, b, c,...Ch. 16.1 - Prob. 2PTCh. 16.1 - Prob. 3PTCh. 16.1 - True or False: F(x,y)=2yi+2xj is conservative.Ch. 16.2 - A definite integral for C(x+y)ds, where C is the...Ch. 16.2 - True or False: The curve at the right appears to...Ch. 16.2 - A definite integral for CFdr, where F(x,y)=x2i+y2j...Ch. 16.2 - Prob. 4PTCh. 16.2 - Prob. 5PTCh. 16.3 - Prob. 1PT
Ch. 16.3 - Which curve is simple but not closed?Ch. 16.3 - Prob. 3PTCh. 16.3 - Prob. 4PTCh. 16.3 - Prob. 5PTCh. 16.4 - Prob. 1PTCh. 16.4 - Prob. 2PTCh. 16.4 - Prob. 3PTCh. 16.4 - Prob. 4PTCh. 16.5 - Prob. 1PTCh. 16.5 - Prob. 2PTCh. 16.5 - Prob. 3PTCh. 16.5 - True or False: div curl F = 0.Ch. 16.5 - Prob. 5PTCh. 16.5 - Prob. 6PTCh. 16.6 - Prob. 1PTCh. 16.6 - Prob. 2PTCh. 16.6 - Prob. 3PTCh. 16.6 - Prob. 4PTCh. 16.6 - Write an iterated integral for the area of that...Ch. 16.7 - Prob. 1PTCh. 16.7 - Prob. 2PTCh. 16.7 - Prob. 3PTCh. 16.8 - Prob. 1PTCh. 16.8 - Prob. 2PTCh. 16.8 - Let F(x, y, z) = zi + xj yk and the curve C be...Ch. 16.9 - Prob. 1PTCh. 16.9 - Prob. 2PT
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