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2. Given the plane 2x -y-2z = 14 and the point Q = (-1, 3, 1), use the method discussed in this week's video to find the point Q* in the plane that is closest to the given point Q and the distance between these points. To check your work, verify that the found point Q* is in fact in the plane. 3. Given v<-5, 1, 3 > and a = <2, 4, -1>, velocity and acceleration vectors. a. Find aτT, the tangential acceleration. Find the exact component values, not decimal approximations! атт a aNN 3 continued. Given v = <-5, 1, 3> and a = <2, 4, -1>, velocity and acceleration vectors. b. Find aNN, the normal acceleration vector. Verify that the normal acceleration vector is orthogonal to the tangential acceleration. c. The curve of a position function can be approximated with an arc of a circle of radius R. If ||v|| Find R, precise to 2 decimal places. v, then R = aN 2%

2. Given the plane 2x -y-2z = 14 and the point Q = (-1, 3, 1), use the method discussed in this week's video to find the point Q* in the plane that is closest to the given point Q and the distance between these points. To check your work, verify that the found point Q* is in fact in the plane. 3. Given v<-5, 1, 3 > and a = <2, 4, -1>, velocity and acceleration vectors. a. Find aτT, the tangential acceleration. Find the exact component values, not decimal approximations! атт a aNN 3 continued. Given v = <-5, 1, 3> and a = <2, 4, -1>, velocity and acceleration vectors. b. Find aNN, the normal acceleration vector. Verify that the normal acceleration vector is orthogonal to the tangential acceleration. c. The curve of a position function can be approximated with an arc of a circle of radius R. If ||v|| Find R, precise to 2 decimal places. v, then R = aN 2%

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Given the plane 2x -y-2z = 14 and the point Q = (-1, 3, 1), use the method discussed in this week's video to find the point Q* in the plane that is closest to the given point Q and the distance between these points. To check your work, verify that the found point Q* is in fact in the plane. 3. Given v<-5, 1, 3 > and a = <2, 4, -1>, velocity and acceleration vectors. a. Find aτT, the tangential acceleration. Find the exact component values, not decimal approximations! атт a aNN
Transcribed Image Text:2. Given the plane 2x -y-2z = 14 and the point Q = (-1, 3, 1), use the method discussed in this week's video to find the point Q* in the plane that is closest to the given point Q and the distance between these points. To check your work, verify that the found point Q* is in fact in the plane. 3. Given v<-5, 1, 3 > and a = <2, 4, -1>, velocity and acceleration vectors. a. Find aτT, the tangential acceleration. Find the exact component values, not decimal approximations! атт a aNN
3 continued. Given v = <-5, 1, 3> and a = <2, 4, -1>, velocity and acceleration vectors. b. Find aNN, the normal acceleration vector. Verify that the normal acceleration vector is orthogonal to the tangential acceleration. c. The curve of a position function can be approximated with an arc of a circle of radius R. If ||v|| Find R, precise to 2 decimal places. v, then R = aN 2%
Transcribed Image Text:3 continued. Given v = <-5, 1, 3> and a = <2, 4, -1>, velocity and acceleration vectors. b. Find aNN, the normal acceleration vector. Verify that the normal acceleration vector is orthogonal to the tangential acceleration. c. The curve of a position function can be approximated with an arc of a circle of radius R. If ||v|| Find R, precise to 2 decimal places. v, then R = aN 2%
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