Evaluate the given line integrals where C is the given curve O a) xyez dy C: x = t₁ y = t², z = t³,0 ≤t≤1 b) Sy dx + zdy + x dz C: x = √t, y=t, z = t², 1 ≤ t ≤ 4 c) Sz²dx + x²dy + y²dz C is the line segment from (1,0,0) to (4,1,2) C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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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 

5. Evaluate the given line integrals where C is the given curve
a)
xyez dy C: x=t, y = t², z = t³,0 ≤t≤1
b)
y dx + z dy + x dz C: x= √t, y=t, z = t²,1≤t≤4
c) Sz²dx + x²dy + y²dz C is the line segment from (1,0,0) to (4,1,2)
C
Transcribed Image Text:5. Evaluate the given line integrals where C is the given curve a) xyez dy C: x=t, y = t², z = t³,0 ≤t≤1 b) y dx + z dy + x dz C: x= √t, y=t, z = t²,1≤t≤4 c) Sz²dx + x²dy + y²dz C is the line segment from (1,0,0) to (4,1,2) C
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