Question: Evaluate the surface integral. S y 2 dS is the part of the sphere x 2 + y 2 + z 2 = 4

Evaluate the surface integral.

∫∫S y2dS is the part of the sphere x2 + y2 + z2 = 4 that lies inside the cylinder x2 + y2 = 1 and above the xy-plane

Step by Step Solution

★★★★★

3.45 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To evaluate the surface integral S y2 dS over the part of the sphere x2 y2 z2 4 that lies inside the ... View full answer

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 Calculus 6th edition Questions!

Q:

1. Use double integration in polar coordinates to find the volume of the solid that lies below the surface z = 5 + x y and above the circle x 2 + y 2 = x in the xy-plane. 2. Find the area of the...

Q:

find one example from the news media that you can link --either videos, podcasts, articles, reports, television broadcasts, etc.--that exhibit what you take to be a valid and sound deductive argument.

Q:

Golden Eagle has 1,250 bonds outstanding with a market value of $980 each. The pretax cost of debt is 7.2 percent. The firm also has 46,000 shares of common stock outstanding at a price per share of...

Q:

16.7 Homework - Surface Integrals (Homework) 1. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 16.7.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let H be the hemisphere x2 + y~ + z2 = 29, z 2 0,...

Q:

Please immediate assistance . I really need the help. Help Entering Answers (1 point) Evaluate the surface integral [/16 d5. S Where S is the triangular region with vertices (1, 0, 0), (0, l, 0) and...

Q:

Please Help with These Questions. I need Assistance right away. Thank You! Help Entering Answers (1 point) Evaluate the surface integral [/16 d5. S Where S is the triangular region with vertices (1,...

Q:

Question 11 Let T be the part of the surface z = 9 - x2 - y2 which lies above the xy plane, with upward unit normal. Let B be the disk of radius 3 in the ry plane centered at the origin with downward...

Q:

Consider the three-dimensional vector field F(x, y, z) = (x xz,x - yz, z2). Let S be the part of the paraboloid z = 1- x2 y? that lies above the xy-plane, oriented upward. Let C be the oriented...

Q:

Evaluate the line integral in Stokes Theorem to evaluate the surface integral s ( F) n ds. Assume that n points in the positive z-direction. F = (2y, -2, its base) x + y + z xyz); S is the cap of...

Q:

2. Evaluate the surface integral f f, f dS where f(x, y, 2) = zz and S is the part of the cylinder a' + y' = 1 between the planes z = 0 and z = r + 2

Q:

Using EES (or other) software, investigate the effect of the inlet area on the mass flow rate, exit temperature, and the exit area. Let the inlet area vary from 50 cm2 to 150 cm2. Plot the final...

Q:

Explain the six different ways in which nonverbal signals influence supervisory communication.

Q:

The Tasmanian Visitor Survey presents data in an analyser database on a number of aspects of tourism, including attractions visited by tourists aged 14 or over. The most visited attractions by...

Q:

=+2. Would you ask the employee why he or she is turning customers away?

Q:

Use the approximations In 2 0.693 and In 3 1.099 together with the properties stated in Theorem A to calculate approximations to each of the following. For example, In 6 = ln(2 3) = In 2 + In 3 ...

Q:

In problems, find the integrals (a) « 1/(2x+1) dx (b) « 1/(1-2x) dx (c) (d) 6 9 dv dz 222 8

Q:

Use your calculator to make computation in problem 1 directly In problem 1 (a) In 6 (b) In 1.5 (c) In 81 (d) In 2 (e) In(1/36) (f) In 48

Q:

What was operating income? $3740 $2960 $4500 $2360

Q:

Una empresa tiene los siguientes datos de costos: Costos fijos de fabricacin $2000 Costos fijos de venta, generales y administrativos 1000 Costos variables de venta por unidad vendida 1 Costos...

Q:

Carolina Fastener, Inc., makes a patented marine bulkhead latch that wholesales for $6.08. Each latch has variable operating costs of $3.43. Fixed operating costs are $49,700 per year. The firm pays...