Question: In this problem we will calculate the flux through a sphere with radius 2 and center in the origin, of a vector field F. What

In this problem we will calculate the flux through a sphere with radius 2 and center in the origin, of a vector field F. What is the unit normal vector n out of the sphere at the point (x,y, 2). Enter the vector in the form {mm}, 11.2] where nx, nv and nz are expressions given by x, 31, Z. Answer: N=|

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!

In this problem we will calculate the flux through a sphere with radius 2 and center in the origin, of a vector field F. What is the unit normal vector n out of the sphere at the point (x,y, 2)....

Calculus 3 (Math-UA-123) For the regions W s hown in Problems 30- 32, write the limits o f integratio n for fw d \\1 in the fo llowing coordinates: 36. Find the volu the plane z = (a) 37. Find the vo...

1. Let r(t) = (V2 -t, , In(t + 1) a) Find the domain of this vector function (3 points). b) Compute lim r(t) algebraically (4 points). +0 c) Find r'(t), and evaluate when t = 1 (4 points).2. Suppose...

I. Foundations/Comprehension 1. Let r(t) = (V2 -t, , In(t + 1) a) Find the domain of this vector function (3 points). b) Compute limr(t) algebraically (4 points). t - 0 c) Find r'(t), and evaluate...

I. Foundations/Comprehension (No technology allowed, show all work!) 1. Let r(t) = (V2 -t,, In(t + 1) a) Find the domain of this vector function (3 points). t - 0 b) Compute lim r(t) algebraically (4...

7. Evaluate the surface integral of each scalar function over the sphere of radius 2 centered at the origin. (a) p(x, y, z) = 3x + 4y? - 2 (b) q(x, y, 2) = 12y - 2yz3 + zx (Hint: Use the divergence...

Question 2. Given a vector eld E = 2:2; + 3y; 4x2l_( and a surface S dened as a sphere of radius 2. a} Find the divergence of E {2 marks} b} Evaluate HSE - at; using Divergence Theorem. (Hint: You do...

Question 2 We have given a surface S, similar to a cylinder (the discs at the top and bottom are included) with the center along the z-axis, radius r = 7, bottom in the xy-plane and height h = 7...

Please answer question 4, as it requires data from question 3. I have included question 3 below for your reference. 4. Same as Problem 3, but write out the position vector vector calculus r(t) and...

A firm takes out a $250,000 loan to purchase an asset. It makes yearly payments of $25,000 plus interest at a 8% annual rate over 10 years. The asset brings in BTCF of $50,000 each year. The asset is...

A certain computer chip that is about the size of a postage stamp (2.54 cm x 2.22 cm) contains about 3.5 million transistors. If the transistors are square, what must be their maximum dimension?...

Given: Food cost = $78,000; Labor cost = $65,000; Electricity = $2,400; Rent = $6,500 and there is an insurance expense of $1,780.00. The total sales for this place is $ 275,600.00. True or False:...

REVIEW THE INFORMATION ABOUT LEAPFROG HOSPITAL SAFETY GRADES. CHOOSE TWO HOSPITALS TO COMPARE A VERY EFFECTIVE ONE AND ONE WHICH IS NOT EFFECTIVE. WHAT SEPARATES THE TWO? HOW CAN THE A HOSPITAL USE...

The status rule: We tend to have more confidence in information presented by someone who has a relatively high status and rank in society than by someone who hasnt.

The spatial rule: The closer spatial proximity we have to an event, the more importance we will attach to it.

The visual rule: If we observe an event with our own eyes, we will attach more weight to it than if someone else had described it to us.