Let F = Vf and f = 2zy + 8xy + 6xz.Calculate F. dr for the path r₁ = (t,t, t),0 ≤ t ≤ 1.(Give your answer as a whole or exact number.)[F. drF. dr₁ =Calculate F. dr for the path r₂ = (1,1²,1³), 0 ≤ t ≤ 1.(Give your answer as a whole or exact number.)[FF. dr₂ =Calculate f(Q)-f(P). The point Q is the end point of the both paths r₁ and r₂, Q = r₁ (1) = r₂(1). The point P is the startingpoint of the both paths r₁ and r₂, P = r₁(0) = r₂(0).(Give your answer as a whole or exact number.)f(Q)-f(P) =

Answered: Image /qna-images/answer/08d6912b-fe81-4b8c-b9c9-0de649e69003.jpg

Answered: Let F = Vf and f = 2zy + 8xy + 6xz.…

Let F = Vf and f = 2zy + 8xy + 6xz. Calculate F. dr for the path r₁ = (t,t,t), 0 ≤ t ≤ 1. (Give your answer as a whole or exact number.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.1: Sets And Geometry

Problem 7E: Let A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or...

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Question

Let F = Vf and f = 2zy + 8xy + 6xz.
Calculate F. dr for the path r₁ = (t,t, t),0 ≤ t ≤ 1.
(Give your answer as a whole or exact number.)
[F. dr
F. dr₁ =
Calculate F. dr for the path r₂ = (1,1²,1³), 0 ≤ t ≤ 1.
(Give your answer as a whole or exact number.)
[F
F. dr₂ =
Calculate f(Q)-f(P). The point Q is the end point of the both paths r₁ and r₂, Q = r₁ (1) = r₂(1). The point P is the starting
point of the both paths r₁ and r₂, P = r₁(0) = r₂(0).
(Give your answer as a whole or exact number.)
f(Q)-f(P) =

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