Question

Find the surface integral. Given S is the surface S:r(u,v)=4ucos(v)i+(u^(2)+1)j+6ucos(v)k,0<=u<=1,0<=v<=(pi )/(2). (Express numbers in exact form. Use symbolic notation and fractions where needed.) ∬_(S)(x+4y)dS= Find the surface integral (Express numbers in exact form. Use symbolic notation and fractions where needed.) (x+4y)dS=

Name: find the surface integral given s is the surface sruv4ucosviu21j6ucosvk0u10vpi 2 express numbers in exact form use symbolic notation and fractions where needed sx4yds find the surface integ 86632
Uploaded: 2022-07-31T05:08:38-08:00
Duration: 6 min 15 s
Channel: Adi S
Description: find the surface integral given s is the surface sruv4ucosviu21j6ucosvk0u10vpi 2 express numbers in exact form use symbolic notation and fractions where needed sx4yds find the surface integ 86632

          Find the surface integral.
Given S is the surface S:r(u,v)=4ucos(v)i+(u^(2)+1)j+6ucos(v)k,0<=u<=1,0<=v<=(pi )/(2).
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
∬_(S)(x+4y)dS=
Find the surface integral
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
(x+4y)dS=

$find the surface integral given s is the surface sruv4ucosviu21j6ucosvk0u10vpi 2 express numbers in exact form use symbolic notation and fractions where needed sx4yds find the surface integ 86632$

Added by Meghan G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

07/31/2022

Step 1

The normal vector to the surface S can be found by taking the cross product of the partial derivatives of r(u,v) with respect to u and v. r(u,v) = 4ucos(v)i + (u^2 + 1)j + 6ucos(v)k ∂r/∂u = 4cos(v)i + 2uj + 6cos(v)k ∂r/∂v = -4usin(v)i - 6usin(v)k The normal Show more…

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Find the surface integral. Given S is the surface S:r(u,v)=4ucos(v)i+(u^(2)+1)j+6ucos(v)k,0<=u<=1,0<=v<=(pi )/(2). (Express numbers in exact form. Use symbolic notation and fractions where needed.) ∬_(S)(x+4y)dS= Find the surface integral (Express numbers in exact form. Use symbolic notation and fractions where needed.) (x+4y)dS=