BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

Solutions

Chapter
Section
BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

Identify the surface with the given vector equation.

r ( s , t ) = s cos t , s sin t , s

To determine

To identify:

The surface with the given vector equation

Explanation

1) Concept:

If ru, v is a vector valued function on a region D in the uv- plane,

ru, v=xu, vi+yu, vj+zu, vk

So x, y, and z,  the component functions of r, are functions of the two variables u & v  with the domain  D. The set of all points x, y, z in R3 such that

x=xu, v, y=yu, v, z=zu, v

And u, v varies throughout  D which is called a parametric surface S and x=xu, v, y=yu, v, z=zu, v are called parametric equations of S

2) Given:

rs, t=scost, ssint, s

3) Calculations:

Given vector equation is,

rs, t=scos

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 16 Solutions

Show all chapter solutions add
Sect-16.1 P-11ESect-16.1 P-12ESect-16.1 P-13ESect-16.1 P-14ESect-16.1 P-15ESect-16.1 P-16ESect-16.1 P-17ESect-16.1 P-18ESect-16.1 P-19ESect-16.1 P-20ESect-16.1 P-21ESect-16.1 P-22ESect-16.1 P-23ESect-16.1 P-24ESect-16.1 P-25ESect-16.1 P-26ESect-16.1 P-27ESect-16.1 P-28ESect-16.1 P-29ESect-16.1 P-30ESect-16.1 P-31ESect-16.1 P-32ESect-16.1 P-33ESect-16.1 P-34ESect-16.1 P-35ESect-16.1 P-36ESect-16.2 P-1ESect-16.2 P-2ESect-16.2 P-3ESect-16.2 P-4ESect-16.2 P-5ESect-16.2 P-6ESect-16.2 P-7ESect-16.2 P-8ESect-16.2 P-9ESect-16.2 P-10ESect-16.2 P-11ESect-16.2 P-12ESect-16.2 P-13ESect-16.2 P-14ESect-16.2 P-15ESect-16.2 P-16ESect-16.2 P-17ESect-16.2 P-18ESect-16.2 P-19ESect-16.2 P-20ESect-16.2 P-21ESect-16.2 P-22ESect-16.2 P-23ESect-16.2 P-24ESect-16.2 P-25ESect-16.2 P-26ESect-16.2 P-27ESect-16.2 P-28ESect-16.2 P-29ESect-16.2 P-30ESect-16.2 P-31ESect-16.2 P-32ESect-16.2 P-33ESect-16.2 P-34ESect-16.2 P-35ESect-16.2 P-36ESect-16.2 P-37ESect-16.2 P-38ESect-16.2 P-39ESect-16.2 P-40ESect-16.2 P-41ESect-16.2 P-42ESect-16.2 P-43ESect-16.2 P-44ESect-16.2 P-45ESect-16.2 P-46ESect-16.2 P-47ESect-16.2 P-48ESect-16.2 P-49ESect-16.2 P-50ESect-16.2 P-51ESect-16.2 P-52ESect-16.3 P-1ESect-16.3 P-2ESect-16.3 P-3ESect-16.3 P-4ESect-16.3 P-5ESect-16.3 P-6ESect-16.3 P-7ESect-16.3 P-8ESect-16.3 P-9ESect-16.3 P-10ESect-16.3 P-11ESect-16.3 P-12ESect-16.3 P-13ESect-16.3 P-14ESect-16.3 P-15ESect-16.3 P-16ESect-16.3 P-17ESect-16.3 P-18ESect-16.3 P-19ESect-16.3 P-20ESect-16.3 P-21ESect-16.3 P-22ESect-16.3 P-23ESect-16.3 P-24ESect-16.3 P-25ESect-16.3 P-26ESect-16.3 P-27ESect-16.3 P-28ESect-16.3 P-29ESect-16.3 P-30ESect-16.3 P-31ESect-16.3 P-32ESect-16.3 P-33ESect-16.3 P-34ESect-16.3 P-35ESect-16.3 P-36ESect-16.4 P-1ESect-16.4 P-2ESect-16.4 P-3ESect-16.4 P-4ESect-16.4 P-5ESect-16.4 P-6ESect-16.4 P-7ESect-16.4 P-8ESect-16.4 P-9ESect-16.4 P-10ESect-16.4 P-11ESect-16.4 P-12ESect-16.4 P-13ESect-16.4 P-14ESect-16.4 P-15ESect-16.4 P-16ESect-16.4 P-17ESect-16.4 P-18ESect-16.4 P-19ESect-16.4 P-20ESect-16.4 P-21ESect-16.4 P-22ESect-16.4 P-23ESect-16.4 P-24ESect-16.4 P-25ESect-16.4 P-26ESect-16.4 P-27ESect-16.4 P-28ESect-16.4 P-29ESect-16.4 P-30ESect-16.4 P-31ESect-16.5 P-1ESect-16.5 P-2ESect-16.5 P-3ESect-16.5 P-4ESect-16.5 P-5ESect-16.5 P-6ESect-16.5 P-7ESect-16.5 P-8ESect-16.5 P-9ESect-16.5 P-10ESect-16.5 P-11ESect-16.5 P-12ESect-16.5 P-13ESect-16.5 P-14ESect-16.5 P-15ESect-16.5 P-16ESect-16.5 P-17ESect-16.5 P-18ESect-16.5 P-19ESect-16.5 P-20ESect-16.5 P-21ESect-16.5 P-22ESect-16.5 P-23ESect-16.5 P-24ESect-16.5 P-25ESect-16.5 P-26ESect-16.5 P-27ESect-16.5 P-28ESect-16.5 P-29ESect-16.5 P-30ESect-16.5 P-31ESect-16.5 P-32ESect-16.5 P-33ESect-16.5 P-34ESect-16.5 P-35ESect-16.5 P-36ESect-16.5 P-37ESect-16.5 P-38ESect-16.5 P-39ESect-16.6 P-1ESect-16.6 P-2ESect-16.6 P-3ESect-16.6 P-4ESect-16.6 P-5ESect-16.6 P-6ESect-16.6 P-7ESect-16.6 P-8ESect-16.6 P-9ESect-16.6 P-10ESect-16.6 P-11ESect-16.6 P-12ESect-16.6 P-13ESect-16.6 P-14ESect-16.6 P-15ESect-16.6 P-16ESect-16.6 P-17ESect-16.6 P-18ESect-16.6 P-19ESect-16.6 P-20ESect-16.6 P-21ESect-16.6 P-22ESect-16.6 P-23ESect-16.6 P-24ESect-16.6 P-25ESect-16.6 P-26ESect-16.6 P-27ESect-16.6 P-28ESect-16.6 P-29ESect-16.6 P-30ESect-16.6 P-31ESect-16.6 P-32ESect-16.6 P-33ESect-16.6 P-34ESect-16.6 P-35ESect-16.6 P-36ESect-16.6 P-37ESect-16.6 P-38ESect-16.6 P-39ESect-16.6 P-40ESect-16.6 P-41ESect-16.6 P-42ESect-16.6 P-43ESect-16.6 P-44ESect-16.6 P-45ESect-16.6 P-46ESect-16.6 P-47ESect-16.6 P-48ESect-16.6 P-49ESect-16.6 P-50ESect-16.6 P-51ESect-16.6 P-52ESect-16.6 P-53ESect-16.6 P-54ESect-16.6 P-55ESect-16.6 P-56ESect-16.6 P-57ESect-16.6 P-58ESect-16.6 P-59ESect-16.6 P-60ESect-16.6 P-61ESect-16.6 P-62ESect-16.6 P-63ESect-16.6 P-64ESect-16.7 P-1ESect-16.7 P-2ESect-16.7 P-3ESect-16.7 P-4ESect-16.7 P-5ESect-16.7 P-6ESect-16.7 P-7ESect-16.7 P-8ESect-16.7 P-9ESect-16.7 P-10ESect-16.7 P-11ESect-16.7 P-12ESect-16.7 P-13ESect-16.7 P-14ESect-16.7 P-15ESect-16.7 P-16ESect-16.7 P-17ESect-16.7 P-18ESect-16.7 P-19ESect-16.7 P-20ESect-16.7 P-21ESect-16.7 P-22ESect-16.7 P-23ESect-16.7 P-24ESect-16.7 P-25ESect-16.7 P-26ESect-16.7 P-27ESect-16.7 P-28ESect-16.7 P-29ESect-16.7 P-30ESect-16.7 P-31ESect-16.7 P-32ESect-16.7 P-33ESect-16.7 P-34ESect-16.7 P-35ESect-16.7 P-36ESect-16.7 P-37ESect-16.7 P-38ESect-16.7 P-39ESect-16.7 P-40ESect-16.7 P-41ESect-16.7 P-42ESect-16.7 P-43ESect-16.7 P-44ESect-16.7 P-45ESect-16.7 P-46ESect-16.7 P-47ESect-16.7 P-48ESect-16.7 P-49ESect-16.8 P-1ESect-16.8 P-2ESect-16.8 P-3ESect-16.8 P-4ESect-16.8 P-5ESect-16.8 P-6ESect-16.8 P-7ESect-16.8 P-8ESect-16.8 P-9ESect-16.8 P-10ESect-16.8 P-11ESect-16.8 P-12ESect-16.8 P-13ESect-16.8 P-14ESect-16.8 P-15ESect-16.8 P-16ESect-16.8 P-17ESect-16.8 P-18ESect-16.8 P-19ESect-16.8 P-20ESect-16.9 P-1ESect-16.9 P-2ESect-16.9 P-3ESect-16.9 P-4ESect-16.9 P-5ESect-16.9 P-6ESect-16.9 P-7ESect-16.9 P-8ESect-16.9 P-9ESect-16.9 P-10ESect-16.9 P-11ESect-16.9 P-12ESect-16.9 P-13ESect-16.9 P-14ESect-16.9 P-15ESect-16.9 P-16ESect-16.9 P-17ESect-16.9 P-18ESect-16.9 P-19ESect-16.9 P-20ESect-16.9 P-21ESect-16.9 P-22ESect-16.9 P-23ESect-16.9 P-24ESect-16.9 P-25ESect-16.9 P-26ESect-16.9 P-27ESect-16.9 P-28ESect-16.9 P-29ESect-16.9 P-30ESect-16.9 P-31ESect-16.9 P-32ESect-16.R P-1CCSect-16.R P-2CCSect-16.R P-3CCSect-16.R P-4CCSect-16.R P-5CCSect-16.R P-6CCSect-16.R P-7CCSect-16.R P-8CCSect-16.R P-9CCSect-16.R P-10CCSect-16.R P-11CCSect-16.R P-12CCSect-16.R P-13CCSect-16.R P-14CCSect-16.R P-15CCSect-16.R P-16CCSect-16.R P-1TFQSect-16.R P-2TFQSect-16.R P-3TFQSect-16.R P-4TFQSect-16.R P-5TFQSect-16.R P-6TFQSect-16.R P-7TFQSect-16.R P-8TFQSect-16.R P-9TFQSect-16.R P-10TFQSect-16.R P-11TFQSect-16.R P-12TFQSect-16.R P-13TFQSect-16.R P-1ESect-16.R P-2ESect-16.R P-3ESect-16.R P-4ESect-16.R P-5ESect-16.R P-6ESect-16.R P-7ESect-16.R P-8ESect-16.R P-9ESect-16.R P-10ESect-16.R P-11ESect-16.R P-12ESect-16.R P-13ESect-16.R P-14ESect-16.R P-15ESect-16.R P-16ESect-16.R P-17ESect-16.R P-18ESect-16.R P-19ESect-16.R P-20ESect-16.R P-21ESect-16.R P-22ESect-16.R P-23ESect-16.R P-24ESect-16.R P-25ESect-16.R P-26ESect-16.R P-27ESect-16.R P-28ESect-16.R P-29ESect-16.R P-30ESect-16.R P-31ESect-16.R P-32ESect-16.R P-33ESect-16.R P-34ESect-16.R P-35ESect-16.R P-36ESect-16.R P-37ESect-16.R P-38ESect-16.R P-39ESect-16.R P-40ESect-16.R P-41ESect-16.P P-1PSect-16.P P-2PSect-16.P P-3PSect-16.P P-4PSect-16.P P-5PSect-16.P P-6P

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 1124, find the indicated limits, if they exist. 21. limxx2x21

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Perform the indicated operation for the following. 28.9092216.41

Contemporary Mathematics for Business & Consumers