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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 ≤ 1
C2: 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
Transcribed Image Text: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 ≤ 1 C2: 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
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