Question: (4) Let Sbe the surface given byz=x2+y22 with 0z2, oriented upwards. Let vec(F)(x,y,z)=xhat(i)+x2hat(j)+zhat(k)=(:x,x2,z:). Find Svec(F)(x,y,z)*dvec(S)

(4) Let Sbe the surface given byz=x2+y22 with 0z2, oriented upwards. Let vec(F)(x,y,z)=xhat(i)+x2hat(j)+zhat(k)=(:x,x2,z:). Find Svec(F)(x,y,z)*dvec(S)

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!

5. Find the flux through S. a. Let E = be electro static field. Use the Gauss' Law (JS, E . N dS ) to find the total charge enclosed by the closed surface consisting of the hemisphere z = v1 -x2 - y2...

4. Find a potential function for F (x.y,z) = , and use it to find F - dr, where the oriented curve C is parametrizationt),t2 +2t + 17, for Osts 1, where g(t) is a differentiable function such that...

2. [-/1 Points] DETAILS SCALCET9 16.8.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Stokes' theorem to evaluate curl ( F ) . ds . F(x, y, z) = e *yi+ e*j + x2zk, S is the half of the ellipsoid...

1) Find all real solutions of: 4 2 2 x + x =3 2 x 4 + x23=0 4 2 2 2 x 2 x +3 x 3=0 x ( 21)=0 2 x 2 ( x 21)+ 3 ( 2 x2 +3 ) ( x 21 ) =0 ( 2 x2 +3 ) =0 2 2 x =3 3 x 2= 2 3 x= 2 3 x= i 2 2) Given the...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Module 1 1. Which of the following is a necessary and sufficient condition for a function, f, to be continuous at the point c = 4? O lim f (I) does not exist. O lim f (z) = f(4). O f is defined on an...

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

5. [0.51/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 14.4.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Explain why the function is differentiable at the given point. f (x, y) = y tan(x), 6 The...

For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...

Q2. Represent the complex number V2 + i/3 -V8 2i/3 in the polar form and graph in the complex plane. Show the details of your work.

A converging lens with a focal length of 3.00 cm is placed 24.00 cm to the right of a concave mirror with a focal length of 4.00 cm. An object is placed between the mirror and the lens, 6.00 cm to...

2. Understanding Option Quotes (LO1) Use the option quote information shown here to answer the questions that follow. The stock is currently selling for $85. 1. Are the call options in the money?...

Kashmir Enterprises, an Indian carpet manufacturer, begins the calendar year with the following Indian rupee (INR) balances: Cash 920,000 Accounts payable 420,000 Inventory 640,000 Owners equity...