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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 27E

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The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the
point (2, -2) is
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d) A scalar equation of a line that goes through T(2, -5) and is perpendicular to the line 3x - 6y = 5.
Find the scalar equation of the line through (3,-2) and perpendicular to the line r = (4,-3) + t(-5,1) . Please answer. Thank you
Find equations of the line through the point (1, −1, 1) perpendicular to the line 3x = 2y = z and parallel to the plane x + y − z = 0.
You are standing above the point (2, 2) on the surface z = 15 - (3x² + 2y²). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) direction = (b) If you start to move in this direction, what is the slope of your path? slope =
Create the vector & parametric equations for the line that passes through the point L₁ x 3- 2t (0, 1, -2) and is parallel to the line y z = = - 5t - 1-t.
Find the new equation of the line y=x after applying the translation by the vector (2, -1)
You are standing above the point (2, 2) on the surface z = (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) direction 15 − (3x² + y²). = (b) If you start to move in this direction, what is the slope of your path? slope =
Find the point on the line 3x+y=9 that is closest to the point (-4,1). (X,y)=?
Integrate by change of variable, ∫∫R(x-7)/(2x-y)dA where R is the parallelogram enclosed by lines x − 7y = 0. x − 7y = 9, 2x − y = 6 and 2x − y = 10.

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