Question: Let n be the outer unit normal (normal away from the origin) of the parabolic shell and let Find the value of S: 4x +

Let n be the outer unit normal (normal away from the origin) of the parabolic shell

and let

Find the value of

S: 4x + y + z = 4, y = 0,

Step by Step Solution

★★★★★

3.29 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the value of the surface integral S F n d we need to compute the divergence of F F and evaluate it on the surface S and then integrate the dot product of F and the unit normal vector n over th... View full answer

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 Precalculus Questions!

Let n be the outer unit normal of the elliptical shell and let Find the value of S: 4x +9y + 36z = 36, z 0,

Let n be the outward pointing unit normal vector to a simple closed curve C. The normal derivative of a function (, denoted (( / (n, is the directional derivative Dn (() = (( ( n. Prove that Where D...

Let R and C be as in Greens theorem, r' a unit tangent vector, and n the outer unit normal vector of C (Fig. 240 in Example 4). Show that (1) may be written or where k is a unit vector perpendicular...

Let vec ( n ) be the outer unit normal of the elliptical shell S : 1 6 x 2 + 2 5 y 2 + 4 0 0 z 2 = 4 0 0 , z 0 , and let vec ( F ) = yvec ( i ) + x 2 vec ( j ) + ( x 2 + y 4 ) 3 2 s i n e x y z 2 vec...

= Homework: Section ... Question 9, 16.6.39 HW Score: 50%, 5 of 10 points O Points: 0 of 1 Save N Let S be the portion of the cylinder y = e in the first octant that projects parallel to the x-axis...

E Homework: Section 1... Question 9, 16.6.39 HW Score: 0%, 0 of 10 points O Points: 0 of 1 Let S be the portion of the cylinder y = e " in the first octant that projects parallel to the x-axis onto...

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)~...

10 Green's functions for PDEs In this final chapter we will apply the idea of Green's functions to PDEs, enabling us to solve the wave equation, diffusion equation and Laplace equation in unbounded...

computer security course, please I need help it due 3 hours. 1 Lab Overview The learning objective of this lab is for students to gain the first-hand experience on buffer-overflow vulner- ability by...

Microkernel operating systems aim to address perceived modularity and reliability issues in traditional "monolithic" operating systems. (i) Describe the typical architecture of a microkernel...

Given that tariffs and quotas cost consumers and that they are grossly inefficient means for creating or preserving jobs, why do citizens allow these policies to exist?

What are the 5 elements of the Statement of Professional Practice?

11. What factors you consider in the management of spare parts? How does it differ from inventory control?

45. A total of r keys are to be put, one at a time, in k boxes, with each key independently being put in box i with probability pi , ki =1 pi = 1. Each time a key is put in a nonempty box, we say...

In Problems 25 30 , without solving, determine the character of the solutions of each equation in the complex number system. 9x 2 12x + 4 = 0

In Problems 1744, find the real solutions, if any, of each equation. |u2| = 1 2

In Problems 23 30 , use the given functions f and g . f (x) = x 2 x + 1g(x) = x 2 + x + 6 (a) Solve f(x) = 0. (e) Solve g(x) 0. (b) Solve g(x) = 0. (f) Solve f(x) > g(x). (c) Solve f(x) = g(x)....

88. On April 8, 2009, Jupitor Corp. acquired equipment at a cost of $480,000. The equipment is to be depreciated by the straight-line method over six years with no provision for salvage value....

answer and i will thumb up Problem 23-1A Analyzing income effects of additional business LO P7 Jones Products manufactures and sells to wholesalers approximately 400,000 packages per year of...

Exercise 13-11 (Part Level Submission) Early in 2020, Shamrock quipment Company of 600 Rolomatics at $6,100 d. During 2020, Shamrock spent $20,000 servicing the 2-year assurance warranties that...