Question: Evaluate the integral over the surface F . dA directly and then use the Gauss's theorem with F = [ x ^ 2 , y

Evaluate the integral over the surface F. dA directly and then use the Gauss's theorem with F =[x ^2, y,1] and the surface given by x ^2+ y ^2+ z ^2=9

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!

Q:

galindez (cmg3849) - Homework 13 (7.5,7.6,8.1,8.2) - tegtmeyer - (54045) This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page - find all choices...

Q:

please use this format filename 1 .. 10 name file 2 1 .. 10 Back Indefinite Integrals Graded Quiz - 30 min - 10 total points Due Sep 25, 11:59 PM WIB True or false? If the function f is continuous on...

Q:

MATH 251 Spring 2014 Final Exam Simon Fraser University 23 April 2014, 7:00-10:00pm Instructor: Weiran Sun Last Name: First Name: SFU ID: @sfu.ca Signature: Instructions Question Maximum 1. Please do...

Q:

Please help with the following three problems: 1. Let C be the closed, piecewise smooth curve formed by traveling in a straight line between the points (0, 0, 0), (2, 1, 5), (1, 1, 3), and back to...

Q:

Consider the line integral Z C F dr , where F (x, y, z) = D x2y, 1 3 x3 + sin y3 , xy + ez2 E and C is the intersection of z = y2 x2 and x2 + y2 = 1, oriented counterclockwise as viewed from above....

Q:

Exercise 3. Read the subsection "Flux Across a Simple Closed Plane Curve" (p. 984 - 985). Explain what a simple closed curve is. The basic idea behind flux is that it's measure how much of the vector...

Q:

Exercise 3. Read the subsection "Flux Across a Simple Closed Plane Curve" (p. 984 - 985). Explain what a simple closed curve is. The basic idea behind flux is that it's measure how much of the vector...

Q:

Q1) 1 3t 1 oint Letht: = dtf0roo {71' "+00 {p I I) [0 9+2? s (a) Find the value of as where F obtains its maximum value. 1.\": (to) Find the intervals over which F is onlg.r increasing or decreasing....

Q:

Derivation of the equation of continuity, in S19.1 the species equation of continuity is derived by making a mass balance on a small rectangular volume x y z fixed in space. (a) Repeat the derivation...

Q:

2x (b) f" (2) = - (1 + x2)2 + sin(2), f'(0) = 2 and f(0) = -1, find f (x) . (4) (4 marks) In questions 4a-4b, find the value or a formula for the given sum. (a) (i - 1) (2+ 2). i= 1 199 (b) sin(,)(3)...

Q:

If the government imposes a tax on Hot Airs profit, how do its output and price change? Hot Air Balloon Rides is a single-price monopoly. Columns 1 and 2 of the table set out the market demand...

Q:

Consider the following general matrix equation: as m11 m12 a2 m21 m22 which can also be abbreviated as: A = MX By definition, the determinant of M is given by det (M) = mum2 - mzm21 The following...

Q:

2 The diagram shows a cuboid. The top view, front view and side view of the cuboid are drawn on centimetre squared paper. The scale used is 1:6. a Copy and complete the workings to find the...

Q:

ASAP Please ! Describe the factors that influence supply chain network design decisions . Please give details or an example to demonstrate your case. If use references, please include.