41. Evaluate the line integral over the given curve C. (9x + 3y)ds; r(t) = (t - 9)i + tj, 0 ≤ t ≤ 4. C a. -48 b. 96 c. 420-√2 d.-228√2
41. Evaluate the line integral over the given curve C. (9x + 3y)ds; r(t) = (t - 9)i + tj, 0 ≤ t ≤ 4. C a. -48 b. 96 c. 420-√2 d.-228√2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:41. Evaluate the line integral over the given curve C.
(9x + 3y)ds; r(t) = (t - 9)i + tj, 0 ≤ t ≤ 4.
a. -48
b. 96
c. 420√2
d.-228√2
42. Use Green's Theorem and/or a computer algebra system to evaluate
where C is the circle x² + y²=4 with counterclockwise orientation.
a. 40
b. 160
3
a. 4л
b. 2π
c. -87
d. 2π
e. None of these
43. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C.
2xydx + 5x²dy, where C is the triangle with vertices (0, 0), (2, 5) and (0, 5).
80
3
d. 10
+9)/3 (4) √(+ (di
C.
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[x²ydx-xy²dy,
Page 14
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