1. Evaluate the given line integrals where C is the given curve a) y³ds C: x= t³, y = t, 0 ≤ t ≤ 2 b) xy ds C: x=t², y = 2t, 0 ≤ t ≤ 1 c) xy¹ds C is the right half of the circle x² + y² = 16
1. Evaluate the given line integrals where C is the given curve a) y³ds C: x= t³, y = t, 0 ≤ t ≤ 2 b) xy ds C: x=t², y = 2t, 0 ≤ t ≤ 1 c) xy¹ds C is the right half of the circle x² + y² = 16
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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show full and complete procedure HANDWRITTEN ONLY please answer parts a), b) & c) as they are subparts of the same question
![1. Evaluate the given line integrals where C is the given curve
O
a) y³ds C: x= t³, y = t, 0 ≤ t ≤ 2
b) fxy ds C: x= t², y = 2t, 0 ≤ t ≤ 1
c) S xy¹ds C is the right half of the circle x² + y² = 16](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F704e3954-aed4-49bb-91f4-2bda230b35b6%2F24089f77-3b1a-48da-ab7d-ea366cad28ed%2Fnweij8_processed.png&w=3840&q=75)
Transcribed Image Text:1. Evaluate the given line integrals where C is the given curve
O
a) y³ds C: x= t³, y = t, 0 ≤ t ≤ 2
b) fxy ds C: x= t², y = 2t, 0 ≤ t ≤ 1
c) S xy¹ds C is the right half of the circle x² + y² = 16
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