T. Evaluate the line integral over the given curve C. [(x + a. -48 b. 96 c. + 3y)ds; r(t)= (-9)i + tj, 0 ≤ t s 4. 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. 7d+ a system to evaluate [x²ydx-xydy, a. 40 b. 160 a. 4x b. 2r c.-8r d. 2x e. None of these 43. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. 2xydx+5x³dy, where C is the triangle with vertices (0, 0), (2, 5) and (0, 5).
T. Evaluate the line integral over the given curve C. [(x + a. -48 b. 96 c. + 3y)ds; r(t)= (-9)i + tj, 0 ≤ t s 4. 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. 7d+ a system to evaluate [x²ydx-xydy, a. 40 b. 160 a. 4x b. 2r c.-8r d. 2x e. None of these 43. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. 2xydx+5x³dy, where C is the triangle with vertices (0, 0), (2, 5) and (0, 5).
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 61E
Related questions
Question
#43
![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
C.
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.
e [x²ydx-xy²dy,
a. 4x
b. 2x
с. -8л
d. 2x
e. None of these
43. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C.
$2xydx + 5x³dy, where C is the triangle with vertices (0, 0), (2, 5) and (0, 5).
a. 40
b. 160
3
c. 800
3
d. 10
X
Page 14](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba09805e-c69e-42c2-a695-6eaaf9d4ee4f%2F73573d83-1a59-4299-af9f-d212ad894509%2Frrhavff_processed.jpeg&w=3840&q=75)
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
C.
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.
e [x²ydx-xy²dy,
a. 4x
b. 2x
с. -8л
d. 2x
e. None of these
43. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C.
$2xydx + 5x³dy, where C is the triangle with vertices (0, 0), (2, 5) and (0, 5).
a. 40
b. 160
3
c. 800
3
d. 10
X
Page 14
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