action: ƒ(x.y) = 5xy + y² and Parametric Curve: r(t) = (r², 21) = the parametric curve to covert the function into a parametric function. A s1) = sr? + 21 O s(1) - 10 + 42 3 s() = 1 O s) = s³ - v find the magnitude of the derivative of the parametric curve. ro| = 2

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.1: Velocity
Problem 12SBE
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We are given a function and a parametric curve

 

Function: f(x.y) = 5xy + y? and Parametric Curve: r(1) = (r, 21)
Use the parametric curve to covert the function into a parametric function.
S(1) = sr² + 21
B s(1) = 10 + 41?
%3D
f(1) = 1
S(1) = 51 - 412
Now find the magnitude of the derivative of the parametric curve.
|-6| = 2
412 + 4
100 + 1612
O lr| =
= 21
Now that you have parameterized the function and found the magnitude of the derivative of the parametric curve, you can use
them to find the General Line Integral for this situation.
General Line Imegral = / sFo d and Imteverat: [1. 2]
A Sr |r| di = 46.833
di
dt = 93.666
dt = 180.74
Transcribed Image Text:Function: f(x.y) = 5xy + y? and Parametric Curve: r(1) = (r, 21) Use the parametric curve to covert the function into a parametric function. S(1) = sr² + 21 B s(1) = 10 + 41? %3D f(1) = 1 S(1) = 51 - 412 Now find the magnitude of the derivative of the parametric curve. |-6| = 2 412 + 4 100 + 1612 O lr| = = 21 Now that you have parameterized the function and found the magnitude of the derivative of the parametric curve, you can use them to find the General Line Integral for this situation. General Line Imegral = / sFo d and Imteverat: [1. 2] A Sr |r| di = 46.833 di dt = 93.666 dt = 180.74
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