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Calculus Volume 3 | 1st Edition | ISBN: 9781938168079 | Authors: Openstax ISBN: 9781938168079 2033

Solution for problem 184 Chapter 4.4

Calculus Volume 3 | 1st Edition

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Calculus Volume 3 | 1st Edition | ISBN: 9781938168079 | Authors: Openstax

Calculus Volume 3 | 1st Edition

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Problem 184

For the following exercises, find parametric equations for the normal line to the surface at the indicated point. (Recall that to find the equation of a line in space, you need a point on the line, \(P_{0}\left(x_{0}, y_{0}, z_{0}\right)\) and a vector \(\mathbf{n}=\langle a, b, c\rangle\) that is parallel to the line. Then the equation of the line is \(x-x_{0}=a t, \ y-y_{0}=b t, \ z-z_{0}=c t\).)

\(x^{2}-8 x y z+y^{2}+6 z^{2}=0, P(1,1,1)\)

Text Transcription:

P_0_left(x_0,y_0,z_0_right)

mathbf_n=langle_a,b,c_rangle

x-x_0=at,y-y_0=bt,z-z_0=ct

x^2-8xyz+y^2+6z^2=0,P(1,1,1)

Step-by-Step Solution:
Step 1 of 3

Force diagram A force diagram represents the forces acting on an object, and gives an indication of its motion, at a particular instant in time. Forces are represented with arrows that point toward (pushes) or away from (pulls) the object itself. The length of theses arrows is chosen to represent the relative strengths of each particular force (longer arrows mean stronger forces) and the direction of the arrows represents the direction the force is applied. Each force arrow is labeled to indicate how the force is exerted and its strength shown (in units of Newtons – N) when known. If the object in question is in motion at the moment at which the force diagram is drawn, this is indicated with a speed arrow; a half-arrow drawn close to the object (usually above for horizontal motion). The direction of the speed arrow represents the direction of motion and its length may be used to indicate relative speed, when comparisons of speeds (either of different objects, or different moments in time) are made. To determine what a shadow will look like on a screen you need to draw boundary rays: these are the two rays that leave the source and just pass by the outer edges of the blocker. Doing this will enable you to determine the size and position of the shadow region on the screen

Step 2 of 3

Chapter 4.4, Problem 184 is Solved
Step 3 of 3

Textbook: Calculus Volume 3
Edition: 1
Author: Openstax
ISBN: 9781938168079

Calculus Volume 3 was written by Aimee Notetaker and is associated to the ISBN: 9781938168079. This textbook survival guide was created for the textbook: Calculus Volume 3, edition: 1. Since the solution to 184 from 4.4 chapter was answered, more than 206 students have viewed the full step-by-step answer. The answer to “?For the following exercises, find parametric equations for the normal line to the surface at the indicated point. (Recall that to find the equation of a line in space, you need a point on the line, \(P_{0}\left(x_{0}, y_{0}, z_{0}\right)\) and a vector \(\mathbf{n}=\langle a, b, c\rangle\) that is parallel to the line. Then the equation of the line is \(x-x_{0}=a t, \ y-y_{0}=b t, \ z-z_{0}=c t\).)\(x^{2}-8 x y z+y^{2}+6 z^{2}=0, P(1,1,1)\)Text Transcription:P_0_left(x_0,y_0,z_0_right)mathbf_n=langle_a,b,c_ranglex-x_0=at,y-y_0=bt,z-z_0=ctx^2-8xyz+y^2+6z^2=0,P(1,1,1)” is broken down into a number of easy to follow steps, and 73 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 50 chapters, and 2640 solutions. The full step-by-step solution to problem: 184 from chapter: 4.4 was answered by Aimee Notetaker, our top Calculus solution expert on 03/18/22, 10:36AM.

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