Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Find the line integral with respect to arc length Is (3x + 5y)ds, where C is the line segment in the xy-plane with endpoints P = (4,0) and Q = (0,8). (a) Find a vector parametric equation F(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. r(t) = (4-4t,8t) (b) Using the parametrization in part (a), the line integral with respect to arc length is • Sº (12+28t)sqrt40 dt lo with limits of integration a = 0 (3x + 5y)ds = and b = 1 (c) Evaluate the line integral with respect to arc length in part (b). (3x + 5y)ds = 164.43

Find the line integral with respect to arc length Is (3x + 5y)ds, where C is the line segment in the xy-plane with endpoints P = (4,0) and Q = (0,8). (a) Find a vector parametric equation F(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. r(t) = (4-4t,8t) (b) Using the parametrization in part (a), the line integral with respect to arc length is • Sº (12+28t)sqrt40 dt lo with limits of integration a = 0 (3x + 5y)ds = and b = 1 (c) Evaluate the line integral with respect to arc length in part (b). (3x + 5y)ds = 164.43

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
See similar textbooks
icon
Related questions
Question
100%
Find the line integral with respect to arc length (3x + 5y)ds, where C is the line segment in the xy-plane with endpoints P = C (a) Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. r(t) = (4-4t,8t) (b) Using the parametrization in part (a), the line integral with respect to arc length is b [ (3) (3x + 5y)ds = = (12+28t)sqrt40 dt with limits of integration a = 0 a and b = 1 (c) Evaluate the line integral with respect to arc length in part (b). √ (3x (3x + 5y)ds = 164.43 (4,0) and Q = (0,8).
Transcribed Image Text:Find the line integral with respect to arc length (3x + 5y)ds, where C is the line segment in the xy-plane with endpoints P = C (a) Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. r(t) = (4-4t,8t) (b) Using the parametrization in part (a), the line integral with respect to arc length is b [ (3) (3x + 5y)ds = = (12+28t)sqrt40 dt with limits of integration a = 0 a and b = 1 (c) Evaluate the line integral with respect to arc length in part (b). √ (3x (3x + 5y)ds = 164.43 (4,0) and Q = (0,8).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS