APPLIED CALCULUS-PRINT COMPANION (LL)
6th Edition
ISBN: 9781119275565
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 8.6, Problem 5P
To determine
The maximum and minimum value of the function.
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u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (ū+v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u. (vxw)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
Question 3 (6 points)
u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (u + v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅ w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u (v × w)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
Chapter 8 Solutions
APPLIED CALCULUS-PRINT COMPANION (LL)
Ch. 8.1 - Prob. 1PCh. 8.1 - Prob. 2PCh. 8.1 - Prob. 3PCh. 8.1 - Prob. 4PCh. 8.1 - Prob. 5PCh. 8.1 - Prob. 6PCh. 8.1 - Prob. 7PCh. 8.1 - Prob. 8PCh. 8.1 - Prob. 9PCh. 8.1 - Prob. 10P
Ch. 8.1 - Prob. 11PCh. 8.1 - Prob. 12PCh. 8.1 - Prob. 13PCh. 8.1 - Prob. 14PCh. 8.1 - Prob. 15PCh. 8.1 - Prob. 16PCh. 8.1 - Prob. 17PCh. 8.1 - Prob. 18PCh. 8.1 - Prob. 19PCh. 8.1 - Prob. 20PCh. 8.1 - Prob. 21PCh. 8.1 - Prob. 22PCh. 8.1 - Prob. 23PCh. 8.1 - Prob. 24PCh. 8.1 - Prob. 25PCh. 8.1 - Prob. 26PCh. 8.1 - Prob. 27PCh. 8.1 - Prob. 28PCh. 8.1 - Prob. 29PCh. 8.1 - Prob. 30PCh. 8.2 - Prob. 1PCh. 8.2 - Prob. 2PCh. 8.2 - Prob. 3PCh. 8.2 - Prob. 4PCh. 8.2 - Prob. 5PCh. 8.2 - Prob. 6PCh. 8.2 - Prob. 7PCh. 8.2 - Prob. 8PCh. 8.2 - Prob. 9PCh. 8.2 - Prob. 10PCh. 8.2 - Prob. 11PCh. 8.2 - Prob. 12PCh. 8.2 - Prob. 13PCh. 8.2 - Prob. 14PCh. 8.2 - Prob. 15PCh. 8.2 - Prob. 16PCh. 8.2 - Prob. 17PCh. 8.2 - Prob. 18PCh. 8.2 - Prob. 19PCh. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - Prob. 23PCh. 8.2 - Prob. 24PCh. 8.2 - Prob. 25PCh. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - Prob. 29PCh. 8.2 - Prob. 30PCh. 8.2 - Prob. 31PCh. 8.2 - Prob. 32PCh. 8.2 - Prob. 33PCh. 8.2 - Prob. 34PCh. 8.2 - Prob. 35PCh. 8.2 - Prob. 36PCh. 8.2 - Prob. 37PCh. 8.2 - Prob. 38PCh. 8.2 - Prob. 39PCh. 8.2 - Prob. 40PCh. 8.2 - Prob. 41PCh. 8.2 - Prob. 42PCh. 8.2 - Prob. 43PCh. 8.2 - Prob. 44PCh. 8.3 - Prob. 1PCh. 8.3 - Prob. 2PCh. 8.3 - Prob. 3PCh. 8.3 - Prob. 4PCh. 8.3 - Prob. 5PCh. 8.3 - Prob. 6PCh. 8.3 - Prob. 7PCh. 8.3 - Prob. 8PCh. 8.3 - Prob. 9PCh. 8.3 - Prob. 10PCh. 8.3 - Prob. 11PCh. 8.3 - Prob. 12PCh. 8.3 - Prob. 13PCh. 8.3 - Prob. 14PCh. 8.3 - Prob. 15PCh. 8.3 - Prob. 16PCh. 8.3 - Prob. 17PCh. 8.3 - Prob. 18PCh. 8.3 - Prob. 19PCh. 8.3 - Prob. 20PCh. 8.3 - Prob. 21PCh. 8.3 - Prob. 22PCh. 8.3 - Prob. 23PCh. 8.3 - Prob. 24PCh. 8.3 - Prob. 25PCh. 8.3 - Prob. 26PCh. 8.3 - Prob. 27PCh. 8.3 - Prob. 28PCh. 8.3 - Prob. 29PCh. 8.3 - Prob. 30PCh. 8.3 - Prob. 31PCh. 8.3 - Prob. 32PCh. 8.3 - Prob. 33PCh. 8.3 - Prob. 34PCh. 8.3 - Prob. 35PCh. 8.3 - Prob. 36PCh. 8.3 - Prob. 37PCh. 8.3 - Prob. 38PCh. 8.3 - Prob. 39PCh. 8.3 - Prob. 40PCh. 8.4 - Prob. 1PCh. 8.4 - Prob. 2PCh. 8.4 - Prob. 3PCh. 8.4 - Prob. 4PCh. 8.4 - Prob. 5PCh. 8.4 - Prob. 6PCh. 8.4 - Prob. 7PCh. 8.4 - Prob. 8PCh. 8.4 - Prob. 9PCh. 8.4 - Prob. 10PCh. 8.4 - Prob. 11PCh. 8.4 - Prob. 12PCh. 8.4 - Prob. 13PCh. 8.4 - Prob. 14PCh. 8.4 - Prob. 15PCh. 8.4 - Prob. 16PCh. 8.4 - Prob. 17PCh. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.4 - Prob. 20PCh. 8.4 - Prob. 21PCh. 8.4 - Prob. 22PCh. 8.4 - Prob. 23PCh. 8.4 - Prob. 24PCh. 8.4 - Prob. 25PCh. 8.4 - Prob. 26PCh. 8.4 - Prob. 27PCh. 8.4 - Prob. 28PCh. 8.4 - Prob. 29PCh. 8.4 - Prob. 30PCh. 8.4 - Prob. 31PCh. 8.4 - Prob. 32PCh. 8.4 - Prob. 33PCh. 8.4 - Prob. 34PCh. 8.4 - Prob. 35PCh. 8.4 - Prob. 36PCh. 8.4 - Prob. 37PCh. 8.4 - Prob. 38PCh. 8.4 - Prob. 39PCh. 8.4 - Prob. 40PCh. 8.4 - Prob. 41PCh. 8.4 - Prob. 42PCh. 8.4 - Prob. 43PCh. 8.4 - Prob. 44PCh. 8.5 - Prob. 1PCh. 8.5 - Prob. 2PCh. 8.5 - Prob. 3PCh. 8.5 - Prob. 4PCh. 8.5 - Prob. 5PCh. 8.5 - Prob. 6PCh. 8.5 - Prob. 7PCh. 8.5 - Prob. 8PCh. 8.5 - Prob. 9PCh. 8.5 - Prob. 10PCh. 8.5 - Prob. 11PCh. 8.5 - Prob. 12PCh. 8.5 - Prob. 13PCh. 8.5 - Prob. 14PCh. 8.5 - Prob. 15PCh. 8.5 - Prob. 16PCh. 8.5 - Prob. 17PCh. 8.5 - Prob. 18PCh. 8.5 - Prob. 19PCh. 8.5 - Prob. 20PCh. 8.5 - Prob. 21PCh. 8.5 - Prob. 22PCh. 8.5 - Prob. 23PCh. 8.5 - Prob. 24PCh. 8.5 - Prob. 25PCh. 8.5 - Prob. 26PCh. 8.5 - Prob. 27PCh. 8.5 - Prob. 28PCh. 8.5 - Prob. 29PCh. 8.5 - Prob. 30PCh. 8.5 - Prob. 31PCh. 8.5 - Prob. 32PCh. 8.6 - Prob. 1PCh. 8.6 - Prob. 2PCh. 8.6 - Prob. 3PCh. 8.6 - Prob. 4PCh. 8.6 - Prob. 5PCh. 8.6 - Prob. 6PCh. 8.6 - Prob. 7PCh. 8.6 - Prob. 8PCh. 8.6 - Prob. 9PCh. 8.6 - Prob. 10PCh. 8.6 - Prob. 11PCh. 8.6 - Prob. 12PCh. 8.6 - Prob. 13PCh. 8.6 - Prob. 14PCh. 8.6 - Prob. 15PCh. 8.6 - Prob. 16PCh. 8.6 - Prob. 17PCh. 8.6 - Prob. 18PCh. 8.6 - Prob. 19PCh. 8.6 - Prob. 20PCh. 8.6 - Prob. 21PCh. 8.6 - Prob. 22PCh. 8.6 - Prob. 23PCh. 8.6 - Prob. 24PCh. 8.6 - Prob. 25PCh. 8.6 - Prob. 26PCh. 8.6 - Prob. 27PCh. 8 - Prob. 1SYUCh. 8 - Prob. 2SYUCh. 8 - Prob. 3SYUCh. 8 - Prob. 4SYUCh. 8 - Prob. 5SYUCh. 8 - Prob. 6SYUCh. 8 - Prob. 7SYUCh. 8 - Prob. 8SYUCh. 8 - Prob. 9SYUCh. 8 - Prob. 10SYUCh. 8 - Prob. 11SYUCh. 8 - Prob. 12SYUCh. 8 - Prob. 13SYUCh. 8 - Prob. 14SYUCh. 8 - Prob. 15SYUCh. 8 - Prob. 16SYUCh. 8 - Prob. 17SYUCh. 8 - Prob. 18SYUCh. 8 - Prob. 19SYUCh. 8 - Prob. 20SYUCh. 8 - Prob. 21SYUCh. 8 - Prob. 22SYUCh. 8 - Prob. 23SYUCh. 8 - Prob. 24SYUCh. 8 - Prob. 25SYUCh. 8 - Prob. 26SYUCh. 8 - Prob. 27SYUCh. 8 - Prob. 28SYUCh. 8 - Prob. 29SYUCh. 8 - Prob. 30SYUCh. 8 - Prob. 31SYUCh. 8 - Prob. 32SYUCh. 8 - Prob. 33SYUCh. 8 - Prob. 34SYUCh. 8 - Prob. 35SYUCh. 8 - Prob. 36SYUCh. 8 - Prob. 37SYUCh. 8 - Prob. 38SYUCh. 8 - Prob. 39SYUCh. 8 - Prob. 40SYUCh. 8 - Prob. 41SYUCh. 8 - Prob. 42SYUCh. 8 - Prob. 43SYUCh. 8 - Prob. 44SYUCh. 8 - Prob. 45SYUCh. 8 - Prob. 46SYUCh. 8 - Prob. 47SYUCh. 8 - Prob. 48SYUCh. 8 - Prob. 49SYUCh. 8 - Prob. 50SYUCh. 8 - Prob. 51SYUCh. 8 - Prob. 52SYUCh. 8 - Prob. 53SYUCh. 8 - Prob. 54SYUCh. 8 - Prob. 55SYUCh. 8 - Prob. 56SYUCh. 8 - Prob. 57SYUCh. 8 - Prob. 58SYUCh. 8 - Prob. 59SYUCh. 8 - Prob. 60SYUCh. 8 - Prob. 1FOTCh. 8 - Prob. 2FOTCh. 8 - Prob. 3FOTCh. 8 - Prob. 4FOTCh. 8 - Prob. 5FOTCh. 8 - Prob. 6FOTCh. 8 - Prob. 7FOT
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