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Find three different surfaces that contain the cu…

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Problem 28 Hard Difficulty

Show that the curve with parametric equations $ x = \sin t $, $ y = \cos t $, $ z = \sin^2 t $ is the curve of intersection of the surfaces $ z = x^2 $ and $ x^2 + y^2 = 1 $. Use this fact to help sketch the curve.

Name: show that the curve with parametric equations x sin t y cos t z sin2 t is the curve of intersection
Uploaded: 2018-02-23
Duration: 3 min 34 s
Channel: Numerade
Description: Show that the curve with parametric equations $ x = \sin t $, $ y = \cos t $, $ z = \sin^2 t $ is the curve of intersection of the surfaces $ z = x^2 $ and $ x^2 + y^2 = 1 $. Use this fact to help sketch the curve.

Answer

$z=x^{2}$

Topics

Vector Functions

Calculus: Early Transcendentals

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Discussion

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Video Transcript

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Wen Z.

Topics

Vector Functions

Calculus: Early Transcendentals

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Problem

Find three different surfaces that contain the cu…

Problem 28 Hard Difficulty

Show that the curve with parametric equations $ x = \sin t $, $ y = \cos t $, $ z = \sin^2 t $ is the curve of intersection of the surfaces $ z = x^2 $ and $ x^2 + y^2 = 1 $. Use this fact to help sketch the curve.

Answer

$z=x^{2}$

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 3 Educators

Lily A.

Kristen K.

Michael J.

Joseph L.

Calculus 3 Bootcamp

Vectors Intro

Vector Basics - Example 1

Recommended Videos

Watch More Solved Questions in Chapter 13

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 3 Educators

Lily A.

Kristen K.

Michael J.

Joseph L.

Calculus 3 Bootcamp

Vectors Intro

Vector Basics - Example 1

Recommended Videos