1. Find F. dr if F =(√2,-2r, √) and C is the curve parametrized by r(t) = (t, t², t), 0≤t≤ 1. Show all your work.
1. Find F. dr if F =(√2,-2r, √) and C is the curve parametrized by r(t) = (t, t², t), 0≤t≤ 1. Show all your work.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Find 1 F. dr if F =(√2,-2x, √) and C is the curve parametrized by r(t) =
(t, t², t), 0≤t≤ 1. Show all your work.
2. Find the line integral in a vector from (0,0,0) to (1,1,1) where F= (322- 3x)i +
32j+k and C=C₁ UC₂ with C₁ being the line segment from (0,0,0) to (1,1,0) and
C₂ is the line segment from (1,1,0) to (1,1,1). Show all your work.
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