a) Start by finding a single vector function that represents the intersection of the surfaces z = x^2 and x^2 + y^2 = 4. Use that vector function to sketch the curve from 0 ≤ t ≤ 2pi b) Find the curvature of this vector function at the point (-1,0,1)

a) Start by finding a single vector function that represents the intersection of the surfaces z = x^2 and x^2 + y^2 = 4. Use that vector function to sketch the curve from 0 ≤ t ≤ 2pi b) Find the curvature of this vector function at the point (-1,0,1)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter7: Locus And Concurrence

Section7.2: Concurrence Of Lines

Problem 7E: Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a...

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Question

a) Start by finding a single vector function that represents the intersection of the surfaces
z = x^2 and x^2 + y^2 = 4. Use that vector function to sketch the curve from 0 ≤ t ≤ 2pi

b) Find the curvature of this vector function at the point (-1,0,1)

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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