Prealgebra & Introductory Algebra (4th Edition)
4th Edition
ISBN: 9780321955791
Author: Elayn Martin-Gay
Publisher: PEARSON
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Question
Chapter 14.3, Problem 8E
To determine
To find:
The solution for given equations by addition method.
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(3) (4 points) Given three vectors a, b, and c, suppose:
|bx c = 2
|a|=√√8
• The angle between a and b xc is 0 = 135º.
.
Calculate the volume a (bxc) of the parallelepiped spanned by the three vectors.
Calculate these limits. If the limit is ∞ or -∞, write infinity or-infinity. If the limit does not exist, write DNE:
Hint: Remember the first thing you check when you are looking at a limit of a quotient is the limit value of the denominator.
1. If the denominator does not go to 0, you should be able to right down the answer immediately.
2. If the denominator goes to 0, but the numerator does not, you will have to check the sign (±) of the quotient, from both sides if the limit is not one-sided.
3. If both the numerator and the denominator go to 0, you have to do the algebraic trick of rationalizing.
So, group your limits into these three forms and work with them one group at a time.
(a) lim
t-pi/2
sint-√ sin 2t+14cos ² t
7
2
2
2cos
t
(b) lim
sint + sin 2t+14cos
=
∞
t-pi/2
2
2cos t
(c) lim
cost-√sin 2t+14cos² t
=
t-pi/2
2cos t
(d) lim
t→pi/2
cost+√ sin t + 14cos
2cos ² t
=
∞
(e) lim
sint-v sin
2
t + 14cos
=
0
t-pi/2
(f) lim
t-pi/2
sin t +√ sin
2sin 2 t
2
t + 14cos
t
2sin t
cost-
(g)…
Think of this sheet of paper as the plane containing the vectors a = (1,1,0) and b = (2,0,0). Sketch the parallelogram P spanned by a and b. Which diagonal of P represents the vector a--b geometrically?
Chapter 14 Solutions
Prealgebra & Introductory Algebra (4th Edition)
Ch. 14.1 - Prob. 1PCh. 14.1 - Prob. 2PCh. 14.1 - Prob. 3PCh. 14.1 - Prob. 4PCh. 14.1 - Prob. 5PCh. 14.1 - Prob. 6PCh. 14.1 - Prob. 7PCh. 14.1 - Prob. 8PCh. 14.1 - Prob. 1VRVCCh. 14.1 - Prob. 2VRVC
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Prob. 34ECh. 14.3 - Prob. 35ECh. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.3 - Prob. 44ECh. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Prob. 47ECh. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.3 - Prob. 51ECh. 14.3 - Prob. 52ECh. 14.3 - Prob. 53ECh. 14.3 - Prob. 54ECh. 14.3 - Prob. 55ECh. 14.3 - Prob. 56ECh. 14.3 - Prob. 57ECh. 14.3 - Prob. 58ECh. 14.3 - Prob. 59ECh. 14.3 - Prob. 60ECh. 14.IR - Prob. 1IRCh. 14.IR - Prob. 2IRCh. 14.IR - Prob. 3IRCh. 14.IR - Prob. 4IRCh. 14.IR - Prob. 5IRCh. 14.IR - Prob. 6IRCh. 14.IR - Prob. 7IRCh. 14.IR - Prob. 8IRCh. 14.IR - Prob. 9IRCh. 14.IR - Prob. 10IRCh. 14.IR - Prob. 11IRCh. 14.IR - Prob. 12IRCh. 14.IR - Prob. 13IRCh. 14.IR - Prob. 14IRCh. 14.IR - Prob. 15IRCh. 14.IR - Prob. 16IRCh. 14.IR - Prob. 17IRCh. 14.IR - Prob. 18IRCh. 14.IR - Prob. 19IRCh. 14.IR - Prob. 20IRCh. 14.IR - Prob. 21IRCh. 14.IR - Prob. 22IRCh. 14.4 - 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Prob. 31CRCh. 14.CR - Prob. 32CRCh. 14.CR - Prob. 33CRCh. 14.CR - Prob. 34CRCh. 14.CR - Prob. 35CRCh. 14.CR - Prob. 36CRCh. 14.CR - Prob. 37CRCh. 14.CR - Prob. 38CRCh. 14.CR - Prob. 39CRCh. 14.CR - Prob. 40CRCh. 14.CR - Prob. 41CRCh. 14.CR - Prob. 42CRCh. 14.CR - Prob. 43CRCh. 14.CR - Prob. 44CRCh. 14.CR - Prob. 45CRCh. 14.CR - Prob. 46CRCh. 14.CR - Prob. 47CRCh. 14.CR - Prob. 48CRCh. 14.CR - Prob. 49CRCh. 14.CR - Prob. 50CRCh. 14.CT - Prob. 1CTCh. 14.CT - Prob. 2CTCh. 14.CT - Prob. 3CTCh. 14.CT - Prob. 4CTCh. 14.CT - Prob. 5CTCh. 14.CT - Prob. 6CTCh. 14.CT - Prob. 7CTCh. 14.CT - Prob. 8CTCh. 14.CT - Prob. 9CTCh. 14.CT - Prob. 10CTCh. 14.CT - Prob. 11CTCh. 14.CT - Prob. 12CTCh. 14.CT - Prob. 13CTCh. 14.CT - Prob. 14CTCh. 14.CT - Prob. 15CTCh. 14.CT - Prob. 16CTCh. 14.CT - Prob. 17CTCh. 14.CT - Prob. 18CTCh. 14.CT - Prob. 19CTCh. 14.CT - Prob. 20CTCh. 14.CT - Prob. 21CTCh. 14.CT - Prob. 22CTCh. 14.CT - Prob. 23CTCh. 14.CT - Prob. 24CTCh. 14.CM - Prob. 1CMCh. 14.CM - Prob. 2CMCh. 14.CM - 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