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Given F(t) = (cost,sint,t²), find the integral of f(x, y, z)=√z along the curve b-- from 0<=t<=2π

Given F(t) = (cost,sint,t²), find the integral of f(x, y, z)=√z along the curve b-- from 0<=t<=2π

Advanced Engineering Mathematics
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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Question
Plz solve part (b)
Question 2 a- Given the ellipse a b² normal to the curve in a right-hand sense. Hint: write the ellipse as a parametric curve F(t). y² = 1, which is traversed counter-clockwise, find the b-- from 0<-t<=2π Given F(t) = (cost,sint,t²), find the integral of f(x, y, z)=√ along the curve
Transcribed Image Text:Question 2 a- Given the ellipse a b² normal to the curve in a right-hand sense. Hint: write the ellipse as a parametric curve F(t). y² = 1, which is traversed counter-clockwise, find the b-- from 0<-t<=2π Given F(t) = (cost,sint,t²), find the integral of f(x, y, z)=√ along the curve
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