Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
6th Edition
ISBN: 9781524908102
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 9, Problem 16SP
To determine
To find: The equation of the plane containing the lines
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(11.2) Find an equation for the plane through the point P = (3, -2, 4) that is perpendicular to the
line +t.
1. The three points A = (-2, -4), B = (6,2) and C = (-3,3) are taken as the vertices of
a triangle T.
(a) Find the equations of the three altitudes of T.
(b) Determine the orthocentre X of T.
2. A ball is thrown from a height of 1.5 metres on the Moon with an initial (upwards)
vertical component of velocity of 20 metres per second. You may assume that the
acceleration due to gravity on the Moon is gmoon = 1.62 metres per second per second.
(a) How long does the ball take to reach the ground?
(b) After how long does it reach its maximum height and what is this?
(c) The ball hits the ground at a horizontal distance of 100 metres from where it was
thrown. What was the horizontal component of its velocity?
11. In each part, solve the linear system, if possible, and use the
result to determine whether the lines represented by the equa-
tions in the system have zero, one, or infinitely many points of
intersection. If there is a single point of intersection, give its
coordinates, and if there are infinitely many, find parametric
equations for them.
a. 3x - 2y = 4
6x - 4y = 9
b. 2x - 4y=1
4x8y = 2
c. x - 2y = 0
x - 4y = 8
Chapter 9 Solutions
Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
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Prob. 58PSCh. 9.7 - Prob. 59PSCh. 9.7 - Prob. 60PSCh. 9 - Prob. 1PECh. 9 - Prob. 2PECh. 9 - Prob. 3PECh. 9 - Prob. 4PECh. 9 - Prob. 5PECh. 9 - Prob. 6PECh. 9 - Prob. 7PECh. 9 - Prob. 8PECh. 9 - Prob. 9PECh. 9 - Prob. 10PECh. 9 - Prob. 11PECh. 9 - Prob. 12PECh. 9 - Prob. 13PECh. 9 - Prob. 14PECh. 9 - Prob. 15PECh. 9 - Prob. 16PECh. 9 - Prob. 17PECh. 9 - Prob. 18PECh. 9 - Prob. 19PECh. 9 - Prob. 20PECh. 9 - Prob. 21PECh. 9 - Prob. 22PECh. 9 - Prob. 23PECh. 9 - Prob. 24PECh. 9 - Prob. 25PECh. 9 - Prob. 26PECh. 9 - Prob. 27PECh. 9 - Prob. 28PECh. 9 - Prob. 29PECh. 9 - Prob. 30PECh. 9 - Prob. 1SPCh. 9 - Prob. 2SPCh. 9 - Prob. 3SPCh. 9 - Prob. 4SPCh. 9 - Prob. 5SPCh. 9 - Prob. 6SPCh. 9 - Prob. 7SPCh. 9 - Prob. 8SPCh. 9 - Prob. 9SPCh. 9 - Prob. 10SPCh. 9 - Prob. 11SPCh. 9 - Prob. 12SPCh. 9 - Prob. 13SPCh. 9 - Prob. 14SPCh. 9 - Prob. 15SPCh. 9 - Prob. 16SPCh. 9 - Prob. 17SPCh. 9 - Prob. 18SPCh. 9 - Prob. 19SPCh. 9 - Prob. 20SPCh. 9 - Prob. 21SPCh. 9 - Prob. 22SPCh. 9 - Prob. 23SPCh. 9 - Prob. 24SPCh. 9 - 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