Please solve both Evaluate the line integral along the curve C.1) [(y + z) ds, C is the path from (0, 0, 0) to (4, −4, 1) given by:2)C₁: r(t) = 4t²i - 4tj, 0 ≤ t ≤ 1C2: r(t) = 4i - 4j + (t−1)k, 1 ≤ t ≤ 2+((2:2).ds, C is the curve r(t) = (-6 − t)i − j + (-6 − t) k, 0 ≤ t ≤1

Part1 Now, ∫Cfx,y,zds=∫abfxt,yt,ztx't2+y't2+z't2dt, where, rt=xti+ytj+ztk. Given fx,y,z=y+z. And…

Evaluate the line integral along the curve C. 1) [(y + z) ds, C is the path from (0, 0, 0) to (4, −4, 1) given by: C₁: r(t) = 4t²i - 4tj, 0 ≤ t ≤ 1 C2: r(t) = 4i - 4j + (t−1)k, 1 ≤ t ≤ 2 2) { [ 1².21²) au [(2+12) ds, C is the curve r(t) = (-6 − t)i − j + (-6 − t) k, 0 ≤ t ≤ 1

Evaluate the line integral along the curve C. 1) [(y + z) ds, C is the path from (0, 0, 0) to (4, −4, 1) given by: C₁: r(t) = 4t²i - 4tj, 0 ≤ t ≤ 1 C2: r(t) = 4i - 4j + (t−1)k, 1 ≤ t ≤ 2 2) { [ 1².21²) au [(2+12) ds, C is the curve r(t) = (-6 − t)i − j + (-6 − t) k, 0 ≤ t ≤ 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 34E

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