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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 23E
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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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