Mathematics > SOLUTIONS MANUAL > University of Texas M 427L HW 10- Solutions: huynh (lth436) – HW10 – gilbert – (56690) (Homewo (All)

huynh (lth436) – HW10 – gilbert – (56690) 1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. ... 001 10.0 points If f(x, y) is a potential function for the evaluate Explanation: If f(x, y) is a potential function for the gradient vector field F = (2xy − 4 cos y) i + (x2 + 4x sin y) j , then ∂f ∂x = 2xy − 4 cos y , ∂f ∂y = x2 + 4x sin y . Now by the first equation, f(x, y) = x2y − 4x cos y + D(y) for an arbitrary function D(y), which by the second equation satisfies x2 + 4x sin y + D0(y) = x2 + 4x sin y , i.e., D(y) = K for an arbitrary constant K. Thus f(x, y) = x2y − 4x cos y + K . But then f(1, π) = π + 4 + K , while f 2, π2 = 2π + K . Consequently, f 2, π2 − f(1, π) = π − 4 . 002 10.0 points Which vector field F has graph We determine F(x, y) by looking at a few points on the graph. Now on the x-axis, F(x, 0) = −x j , This study source was downloaded by 100000806173026 from CourseHero.com on 01-03-2022 06:59:49 GMT -06:00 https://www.coursehero.com/file/9179361/HW10-solutions/huynh (lth436) – HW10 – gilbert – (56690) 2 while on the y-axis, F(0, y) = y i . The only one of the given vector fields satisfying these conditions is 003 10.0 points Which vector field F has graph 6. F(x, y = x i − y j correct Explanation: We determine F(x, y) by looking at a few points on the graph. Now on the x-axis, F(x, 0) = x i , while on the y-axis, The only one of the given vector fields satisfying these conditions is . 004 10.0 points Which vector field F has graph Explanation: We determine F(x, y) by looking at a few points on the graph. Now on the x-axis, F(x, 0) = x i , while on the y-axis, F(0, y) = y j . The only one of the given vector fields satisfying these conditions is F(x, y) = x i + y j . This study source was downloaded by 100000806173026 from CourseHero.com on 01-03-2022 06:59:49 GMT -06:00 https://www.coursehero.com/file/9179361/HW10-solutions/huynh (lth436) – HW10 – gilbert – (56690) 3 005 10.0 points Which vector field F has graph Explanation: We determine F(x, y) by looking at a few points on the graph. Now on the x-axis, F(x, 0) = 0 i+? j , while on the y-axis, F(0, y) = y i + const j . The only one of the given vector fields satisfying these conditions is F(x, y) = y i + cos x j . 006 10.0 points Which vector field F has graph We determine F(x, y) by looking at a few points on the graph. Now on the x-axis, The only one of the given vector fields satisfying these conditions is F(x, y) = 3ey i + (3xey − 2) j is a gradient vector field to evaluate the line integral I = ZC F · ds This study source was downloaded by 100000806173026 from CourseHero.com on 01-03-2022 06:59:49 GMT -06:00 https://www.coursehero.com/file/9179361/HW10-solutions/huynh (lth436) – HW10 – gilbert – (56690) 4 along the curve C given parametrically by Explanation: Since F is a gradient vector field, the Fundamental Theorem for Line Integrals says that I = Z01 F(c(t)) · c0(t) dt = f(c(1)) − f(c(0)) for any function f such that F = ∇f. To write F(x, y) = 3ey i + (3xey − 2) j as a gradient vector field, we have to find a function f(x, y) such that ∂f ∂x = 3ey, ∂f ∂y = 3xey − 2. Now the first equation says that f(x, y) = 3xey + D(y) , for some arbitrary function D(y), where by the second equation ∂f ∂y = 3xey + D0(y) = 3xey − 2 , i.e., D0(y) = −2. Thus D(y) = −2y + K, so f(x, y) = 3xey − 2y + K , for some arbitrary constant K. On the other hand, when c(t) = tet i + (1 + t) j , 0 ≤ t ≤ 1 , then 008 10.0 points A gradient vector field F = ∇f and points P, Q, . . . , U on contour lines of z = f(x, y) are shown in [Show More]

Last updated: 9 months ago

Preview 1 out of 8 pages

Mathematics> SOLUTIONS MANUAL > University of TexasM 427 LHW15-Solutions. (Homework Solutions) huynh (lth436) – HW15 – gilbert – (56690) (All)

University of TexasM 427 LHW15-Solutions. huynh (lth436) – HW15 – gilbert – (56690) This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page – fin...

By Kirsch , Uploaded: Jan 03, 2022

**$10**

Mathematics> SOLUTIONS MANUAL > University of Texas M 427L HW13-Solutions/ Homework 13 Solution (All)

University of Texas M 427L HW13-Solutions/ Homework 13 Solution University of Texas M 427L HW13-Solutions/ Homework 13 Solution University of Texas M 427L HW13-Solutions/ Homework 13 Solution Universi...

By Kirsch , Uploaded: Jan 03, 2022

**$10**

Mathematics> SOLUTIONS MANUAL > University of TexasM 427 LHW15-Solutions. (Homework Solutions) huynh (lth436) – HW15 (All)

University of TexasM 427 LHW15-Solutions. (Homework Solutions) huynh (lth436) – HW15 University of TexasM 427 LHW15-Solutions. (Homework Solutions) huynh (lth436) – HW15 University of TexasM 427 LHW1...

By Kirsch , Uploaded: Jan 03, 2022

**$11**

Mathematics> SOLUTIONS MANUAL > University of Texas M 427L HW12 Solution/ Homework 12 Solution. (All)

This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Evaluate the integral I = Z ZS F ·...

By Kirsch , Uploaded: Jan 03, 2022

**$10**

Social Sciences> SOLUTIONS MANUAL > Conceptual Physics, 13th edition By Paul G Hewitt (Solutions Manual ) (All)

Brief Contents About Science I. MECHANICS Newton's First Law of Motion: Inertia Linear Motion Newton's Second Law of Motion: Force and Acceleration Newton's Third Law of Motion: Action and React...

By eBookSmTb , Uploaded: Oct 30, 2022

**$25**

Business Law> SOLUTIONS MANUAL > Solutions Manual For Essentials of Business Law 11th Edition By Anthony Liuzzo, Ruth Calhoun Hughes (All)

Solutions Manual For Essentials of Business Law 11th Edition By Anthony Liuzzo, Ruth Calhoun Hughes Solutions Manual For Essentials of Business Law 11th Edition By Anthony Liuzzo, Ruth Calhoun Hughes...

By eBookSmTb , Uploaded: Mar 01, 2024

**$25**

Pharmacology> SOLUTIONS MANUAL > Pharmacology Connections to Nursing Practice 3rd Edition Adams Test Bank (All)

Pharmacology Connections to Nursing Practice 3rd Edition Adams Test BankPharmacology Connections to Nursing Practice 3rd Edition Adams Test BankPharmacology Connections to Nursing Practice 3rd Edition...

By NurseGrade , Uploaded: Feb 29, 2024

**$25**

Pharmacology> SOLUTIONS MANUAL > Pharmacology Clear and Simple 4th Edition Watkins Solutions Manual (All)

Pharmacology Clear and Simple 4th Edition Watkins Solutions Manual Pharmacology Clear and Simple 4th Edition Watkins Solutions Manual Pharmacology Clear and Simple 4th Edition Watkins Solutions Manual...

By NurseGrade , Uploaded: Feb 29, 2024

**$24**

Pathophysiology> SOLUTIONS MANUAL > McCance & Huethes Pathophysiology 9th Edition Rogers Solutions Manual (All)

McCance & Huethes Pathophysiology 9th Edition Rogers Solutions Manual McCance & Huethes Pathophysiology 9th Edition Rogers Solutions Manual McCance & Huethes Pathophysiology 9th Edition Rogers Solut...

By NurseGrade , Uploaded: Feb 29, 2024

**$26**

Biology> SOLUTIONS MANUAL > Biology 14th Edition Mader Solutions Manual (All)

Biology 14th Edition Mader Solutions Manual Biology 14th Edition Mader Solutions Manual Biology 14th Edition Mader Solutions Manual Biology 14th Edition Mader Solutions Manual Biology 14th Edition Mad...

By NurseGrade , Uploaded: Feb 29, 2024

**$24**

Connected school, study & course

**About the document**

Uploaded On

Jan 03, 2022

Number of pages

8

Written in

This document has been written for:

Uploaded

Jan 03, 2022

Downloads

0

Views

94

Avoid resits and achieve higher grades with the best study guides, textbook notes, and class notes written by your fellow students

Your fellow students know the appropriate material to use to deliver high quality content. With this great service and assistance from fellow students, you can become well prepared and avoid having to resits exams.

Your fellow student knows the best materials to research on and use. This guarantee you the best grades in your examination. Your fellow students use high quality materials, textbooks and notes to ensure high quality

Get paid by selling your notes and study materials to other students. Earn alot of cash and help other students in study by providing them with appropriate and high quality study materials.

In Browsegrades, a student can earn by offering help to other student. Students can help other students with materials by upploading their notes and earn money.

We're available through e-mail, Twitter, Facebook, and live chat.

FAQ

Questions? Leave a message!

Copyright © Browsegrades · High quality services·