Evaluate the line integral along the curve C. (xz+2) ds, C is the curve r(t) = (-6-2t) i + tj- 2tk, 0sts 1 000 23 - 13 13

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Can you please answer both questions it would be very helpful
Evaluate the line integral along the curve C.
[ (x2 + y²)
(xz+y2) ds, C is the curve r(t) = (-6-2t) i+tj- 2tk, 0 st≤1
O
0 23
OOO
Find the work/line integral done by F over the curve in the direction of increasing t.
6x²
Exe
i+e2yj+e6zk; the path is C₁ UC 2 where C₁ is the straight line from (0, 0, 0) to (1, 1, 0) and C 2 is the straight line from
(1, 1, 0) to (1, 1, 1)
O
O
23
- 13
W =
O
W
Transcribed Image Text:Evaluate the line integral along the curve C. [ (x2 + y²) (xz+y2) ds, C is the curve r(t) = (-6-2t) i+tj- 2tk, 0 st≤1 O 0 23 OOO Find the work/line integral done by F over the curve in the direction of increasing t. 6x² Exe i+e2yj+e6zk; the path is C₁ UC 2 where C₁ is the straight line from (0, 0, 0) to (1, 1, 0) and C 2 is the straight line from (1, 1, 0) to (1, 1, 1) O O 23 - 13 W = O W
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