Homework Help is Here – Start Your Trial Now!
Math
Calculus
Let f(x, y, z) = x + yz and let C be the line segment from P = (0,0,0) to (2, 3, 8). (a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (2t, 3t, 8t) for 0 ≤ t ≤ 1. (b) Evaluate fe f(x, y, z) ds. (a) f(c(t)) = (b) fc f(x, y, z) ds = ds dt

Let f(x, y, z) = x + yz and let C be the line segment from P = (0,0,0) to (2, 3, 8). (a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (2t, 3t, 8t) for 0 ≤ t ≤ 1. (b) Evaluate fe f(x, y, z) ds. (a) f(c(t)) = (b) fc f(x, y, z) ds = ds dt

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

how do i solve the attached calculus question?

Let f(x, y, z) = x + yz and let C be the line segment from P = (0,0,0) to (2, 3, 8). (a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (2t, 3t, 8t) for 0 ≤ t ≤ 1. (b) Evaluate fe f(x, y, z) ds. (a) f(c(t)) = (b) fc f(x, y, z) ds = ds dt
Transcribed Image Text:Let f(x, y, z) = x + yz and let C be the line segment from P = (0,0,0) to (2, 3, 8). (a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (2t, 3t, 8t) for 0 ≤ t ≤ 1. (b) Evaluate fe f(x, y, z) ds. (a) f(c(t)) = (b) fc f(x, y, z) ds = ds dt
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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