   Chapter 12.1, Problem 58E

Chapter
Section
Textbook Problem

# Representing a Graph by Vector-Valued Function In exercises 55-62 sketch the space curve represented by the intersection of the surfaces a. Then represent the curve by a vector valued function using the given parameter.Surfaces Parameter x 2 + y 2 + z 2 = 10 , x + y = 4 x = 2 + sin t

To determine

To Calculate: The space curve represented by the intersection of the surfaces x2+y2+z2=10,x+y=4 and represent the curve by a vector valued function.

Explanation

Given: Surface is x2+y2+z2=10,x+y=4 and the parameter is x=2+sint.

Calculation:

The intersection of the curve is represented by,

r(t)=(2+sint)i+(2sint)j+2costk.

Let x2+y2+z2=10...(1),x+y=4...(2)

Put x=2+sint in the equation (2),

2+sint+y=4y=42sint=2sinty=2sint

Put the value of x and y in equation (1),

(2+sint)2+z2+(2sint)2=10

(2+sint)2+(2<

### 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

#### In Exercises 6372, evaluate the expression. 70. | 6| 3

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

#### In Problems 7-34, perform the indicated operations and simplify. 21.

Mathematical Applications for the Management, Life, and Social Sciences

#### 0 1 ∞

Study Guide for Stewart's Multivariable Calculus, 8th

#### Evaluate 11(x2x3)dx a) 32 b) 56 c) 12 d) 23

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 