Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Textbook Question
Chapter 10, Problem 17P
Repeat problems P10-15 if
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1.
2.
Show that the following are not logically equivalent by finding a counterexample:
(p^q) →r and
(db) V (d←d)
Show that the following is not a contradiction by finding a counterexample:
(pV-q) AqA (pv¬q Vr)
3.
Here is a purported proof that (pq) ^ (q → p) = F:
(db) v (bd) = (db) v (bd)
=(qVp) A (g→p)
= (¬¬q V ¬p) ^ (q→ p)
(db) V (db) =
=¬(a→p)^(a→p)
= (gp) ^¬(a → p)
=F
(a) Show that (pq) ^ (q→p) and F are not logically equivalent by finding a counterex-
ample.
(b) Identify the error(s) in this proof and justify why they are errors. Justify the other steps
with their corresponding laws of propositional logic.
5
Show by multiplying matrices that the following equation represents an ellipse:
5
-
-7
I
(x)(3)()=30.
y)
7
7)
Chapter 10 Solutions
Introductory Mathematics for Engineering Applications
Ch. 10 - A faucet supplies fluid to a container of...Ch. 10 - The initial temperature of the hot coffee cup...Ch. 10 - A constant voltage vs(t)=10V is applied to the RC...Ch. 10 - Repeat parts (a)-(d) of the problem P10-3 if R=10k...Ch. 10 - Repeat parts (a)-(d) of the problem P10-3 if R=20k...Ch. 10 - A constant voltage vs(t)=10V is applied to the RC...Ch. 10 - Repeat problems P10-6 if R=200k and C=100F.Ch. 10 - Repeat problems P10-6 if R=100k, C=50F, vs(t)=20V...Ch. 10 - A sinusoidal voltage vs(t)=10sin(0.01t)V is...Ch. 10 - Repeat problem P10-9 if R=10k and C=10F.
Ch. 10 - Repeat problem P10-9 if R=20k and C=20F.Ch. 10 - The circuit shown in Fig. P10.12 consists of a...Ch. 10 - Repeat problems P10-12 if R=1k, C=10F, I=10mA, and...Ch. 10 - Repeat problems P10-12 if R=2k, C=100F, I=5mA, and...Ch. 10 - A constant current is(t)=100mA is applied to the...Ch. 10 - Repeat problems P10-15 if R=100 and L=100mH.Ch. 10 - Repeat problems P10-15 if R=100 and L=10mH.Ch. 10 - At time t=0, an input voltage vin is applied to...Ch. 10 - Repeat problems P10-18 if R=50 and L=500mH.Ch. 10 - Repeat problems P10-18 if R=10, L=200mH, and...Ch. 10 - The switch in the circuit shown in Fig. P10.21 has...Ch. 10 - A constant voltage source vin(t)=10 volts is...Ch. 10 - A sinusoidal voltage source vin(t)=10sin(10t)...Ch. 10 - The relationship between arterial blood flow and...Ch. 10 - Repeat problem P10-24 if the volumetric blood flow...Ch. 10 - The displacement y(t) of a spring-mass system...Ch. 10 - Repeat problem P10-26 if the displacement y(t) of...Ch. 10 - The displacement y(t) of a spring mass system...Ch. 10 - Repeat problem P10-28 if the displacement y(t) of...Ch. 10 - A block of mass m is dropped from a height h above...Ch. 10 - Repeat parts (a)-(c) of c problems P10-30 if...Ch. 10 - Repeat parts (a)-(c) of problems P10-30 if m=1kg,...Ch. 10 - The displacement y(t) of the spring-mass system...Ch. 10 - Under static loading by a weight of mass m, a rod...Ch. 10 - At time t=0, a cart of mass n moving at an initial...Ch. 10 - An LC circuit is subjected to a constant voltage...Ch. 10 - Repeat parts (a) and (b) of problem P10-36 if...Ch. 10 - An LC circuit is subjected to input voltage vin...Ch. 10 - Repeat parts (a)-(c) of problem P10-38 if L=100mH,...Ch. 10 - Repeat parts (a)-(c) of problem P10-38 if L=40mH,...Ch. 10 - Repeat parts (a)-(c) of problem P10-38 if L=40mH,...Ch. 10 - A biomedical engineer is designing a resistive...Ch. 10 - A rod of mass m and length l is pinned at the...
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