
Thomas' Calculus (14th Edition)
14th Edition
ISBN: 9780134438986
Author: Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher: PEARSON
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Chapter A.1, Problem 15E
To determine
Solve the inequality
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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 A.1 Solutions
Thomas' Calculus (14th Edition)
Ch. A.1 - Express 1/9 as a repeating decimal, using a bar to...Ch. A.1 - If 2 < x < 6, which of the following statements...Ch. A.1 - solve the inequalities and show the solution sets...Ch. A.1 - solve the inequalities and show the solution sets...Ch. A.1 - solve the inequalities and show the solution sets...Ch. A.1 - solve the inequalities and show the solution sets...Ch. A.1 - Solve the equation |y| = 3
Ch. A.1 - Prob. 8ECh. A.1 - Prob. 9ECh. A.1 - Solve the inequalities in Exercises 10–17,...
Ch. A.1 - Solve the inequalities in Exercises 10–17,...Ch. A.1 - Solve the inequalities in Exercises 10–17,...Ch. A.1 - Solve the inequalities in Exercises 10–17,...Ch. A.1 - Solve the inequalities in Exercises 10–17,...Ch. A.1 - Solve the inequalities in Exercises 10–17,...Ch. A.1 - Solve the inequalities in Exercises 10–17,...Ch. A.1 - Solve the inequalities in Exercises 10–17,...Ch. A.1 - Solve the inequalities in Exercises 18–21. Express...Ch. A.1 - Solve the inequalities in Exercises 18–21. Express...Ch. A.1 - Solve the inequalities in Exercises 18–21. Express...Ch. A.1 - Solve the inequalities in Exercises 18–21. Express...Ch. A.1 - Do not fall into the trap of thinking |–a| = a....Ch. A.1 - Prob. 23ECh. A.1 - A proof of the triangle inequality Give the reason...Ch. A.1 - Prove that |ab| = |a| |b| for any numbers a and...Ch. A.1 - If |x| ≤ 3 and x > –1/2, what can you say about...Ch. A.1 - Graph the inequality |x| + |y| ≤ 1.
Ch. A.1 - For any number a, prove that |–a| = |a|.
Ch. A.1 - Let a be any positive number. Prove that |x| > a...Ch. A.1 - If b is any nonzero real number, prove that...
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