Question

Let \overrightarrow{F} = (x+y-4)\hat{j}. Let S be the triangle as shown, oriented away from the origin. (5,0,8) z y (5,0,0) (5,2,0) x Which of the following would be appropriate for $\overrightarrow{dA}$ in this case? $\overrightarrow{dA} = -i\overrightarrow{dA}$ $\overrightarrow{dA} = 8i\overrightarrow{dA}$ $\overrightarrow{dA} = i\overrightarrow{dA}$ $\overrightarrow{dA} = 5i\overrightarrow{dA}$

          Let \overrightarrow{F} = (x+y-4)\hat{j}. Let S be the triangle as shown, oriented away from the origin.
(5,0,8)
z
y
(5,0,0)
(5,2,0)
x
Which of the following would be appropriate for $\overrightarrow{dA}$ in this case?
$\overrightarrow{dA} = -i\overrightarrow{dA}$
$\overrightarrow{dA} = 8i\overrightarrow{dA}$
$\overrightarrow{dA} = i\overrightarrow{dA}$
$\overrightarrow{dA} = 5i\overrightarrow{dA}$

Let F = (x+y-4)ĵ. Let S be the triangle as shown, oriented away from the origin.
(5,0,8)
z
y
(5,0,0)
(5,2,0)
x
Which of the following would be appropriate for dA in this case?
dA = -idA
dA = 8idA
dA = idA
dA = 5idA

Added by Christopher F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

06/13/2022

Step 1

Step 1: Given that vec(F) = (x+y-4)i, we can see that the vector field F only has a component in the i direction. Show more…

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Let vec(F)=(x+y-4)vec(i). Let S be the triangle as shown, oriented away from the origin. Which of the following would be appropriate for dvec(A) in this case? dvec(A)=-vec(i)dA dvec(A)=8vec(i)dA dvec(A)=vec(i)dA dvec(A)=5vec(i)dA Let F = (x+y-4)i . Let S be the triangle as shown, oriented away from the origin. (5.0.8) Z (5,0,0) (5,2,0) Which of the following would be appropriate for dA' in this case? O dA=-7dA O dA = 87dA O dA=7dA O dA =57dA x