Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Find the mass M of a fluid with a constant mass density flowing across the paraboloid z = x² + y², z ≤ 81, in a unit of time in the direction of the outer unit normal if the velocity of the fluid at any point on the paraboloid is F = F(x, y, z) = -xi-yj - zk. (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Find the mass M of a fluid with a constant mass density flowing across the paraboloid z = x² + y², z ≤ 81, in a unit of time in the direction of the outer unit normal if the velocity of the fluid at any point on the paraboloid is F = F(x, y, z) = -xi-yj - zk. (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
See similar textbooks
icon
Related questions
Question

M1.

Subject :- Advance math 

 

Find the mass M of a fluid with a constant mass density flowing across the paraboloid z = x² + y², z ≤ 81, in a unit of time in the direction of the outer unit normal if the velocity of the fluid at any point on the paraboloid is F = F(x, y, z) = −xi – yj – zk. (Express numbers in exact form. Use symbolic notation and fractions where needed.) M = > Feedback Express a surface integral as a double integral. Determine the mass of a fluid as a flux. Use the fact that the flux of F across the surface S in the direction of n is given by F.ndS= 2 t •#/12 F(0, d) n(0, p)||r₂ X rø|| do de where n is the outer unit normal vector of S.
Transcribed Image Text:Find the mass M of a fluid with a constant mass density flowing across the paraboloid z = x² + y², z ≤ 81, in a unit of time in the direction of the outer unit normal if the velocity of the fluid at any point on the paraboloid is F = F(x, y, z) = −xi – yj – zk. (Express numbers in exact form. Use symbolic notation and fractions where needed.) M = > Feedback Express a surface integral as a double integral. Determine the mass of a fluid as a flux. Use the fact that the flux of F across the surface S in the direction of n is given by F.ndS= 2 t •#/12 F(0, d) n(0, p)||r₂ X rø|| do de where n is the outer unit normal vector of S.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer