Question: 2. Consider the surface comprising a cylinder x2 + y2 = 32 with end caps at z = -2 and z = 2. Let F

2. Consider the surface comprising a cylinder x2 + y2 = 32 with end caps at z = -2 and z = 2. Let F = (y, x, z) be a vector field. (a) (1 point) The flux of F directed outward through the top cap at z = 2 is 187. What is the flux of F outward through the bottom cap at z = -2. Give a brief reason for the sign of your answer (either a single sentence or a brief calculation will suffice). (b) (4 points) Compute the total flux of F outward through the entire surface

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Set Student Name: 1. Describe the relationship between two variables that have a correlation coefficient value: a. Near -1 b. Near 0 c. Near 1 2. Data was collected where a weightlifter was asked to...

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

878 CHAPTER 15 DIFFERENTIATION IN SEVERAL VARIABLES (e) Does P correspond to a minimum or maximum value of f? Re- fer to Figure 12 to justify your answer. Hint: Do the values of f(x, y) 2 increase or...

\"mu\" 7 Consider the vector field Tries. . th, y, 2] = (6X, 57n 9y): remaining: 3 Marked out of 1 _ In no Evaluate the line integral [E F - air, where C is the intersection curve of the paraboloid...

MA 261 PRACTICE PROBLEMS 1. If the line ` has symmetric equations y x1 z+2 2 = 3 = 7 , nd a vector equation for the line `0 that contains the point (2; 1; 3) and is parallel to `. A. ~ = (1 + 2t)~...

\f\f\f\f\f\f\f\fProblems of Calculus 1. Perimeter : P=72 m length:l=? width: w=? P=2 ( l+w ) P=72 m 2 (l+ w )=72 m l+w= 72m l+ w=36 m w=36 ml 2 Area : A=wl Replacing w in the formula of A A=wl=( 36l...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

806 Chapter Fifteen OPTIMIZATION: LOCAL AND GLOBAL EXTREMA If f is not continuous or the region R is not closed and bounded, there is no guarantee that f achieves a global maximum or global minimum...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

12.00 Semester 2 Exam QUESTION 1 A recipe for a strawberry smoothie requires a fourth cup of sugar for every 2 cups of strawberries. Which of the following is not the ratio of sugar to strawberries?...

A rectangular cavity resonator has dimensions = 3 cm, b = 6 cm, and c = 9 cm. If it is filled with polyethylene ( = 2.5o), find the resonant frequencies of the first five lowest-order modes.

Congratulations! You have just won a small lottery. It will pay you either 5 annual payments of $15,000 each (with the first payment to be received two years from today), or a single lump sum to be...

Discuss each of the following difficulties and disasters in the context of this research. a. Ecological validity. b. Extending results inappropriately. c. Experimenter effect.

1. Which of these are functions of a presentation to persuade? Select all that apply. inform inform entertain entertain call to action call to action convince convince stimulate 2. Which of these are...

Define corporate diversification and describe five types of corporate diversification.

Specify the circumstances under which a firms diversification strategy will be rare.

Visit the corporate Web sites of the following firms. How would you characterize their corporate strategies? Are they following a strategy of limited diversification, related diversification, or...