Consider the line integral L(- In(2² + y°\j+ tan '(2)i). dr where C is the positively oriented boundary of the region D between the curves x? + y? = 1 and x2 + y? = 4 that lies above the x axis. Using Green's Theorem results in an equality of the following form: | (- In(a? + y')j + tan . dr Enter a, b, c, d and f(r, 0) below so that equality holds for equation (1) above. f(r, 0) = O sin(e) - sin(0) cos(e) tan(0) - cos(0) - tan(0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
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Consider the line integral
+ y?)j + tan
. dr
where C is the positively oriented boundary of the
region D between the curves x? + y? = 1 and
x2 + y? = 4 that lies above the x axis. Using
Green's Theorem results in an equality of the
following form:
L(- In(a² + y°)i + tan
-1
.dr =
Enter a, b, c, d and f(r, 0) below so that equality
holds for equation (1) above.
f(r, 0) =
O sin(e)
- sin(e)
cos(0)
tan(0)
- cos(4)
- tan(0)
a
b =
c =
d =
a, b, c and d are integers. Do not use decimal
points.
EVALUATE the given line integral by integrating the
double integral on the RHS of equation (1). Enter
your answer below. The answer is an integer.
Transcribed Image Text:Consider the line integral + y?)j + tan . dr where C is the positively oriented boundary of the region D between the curves x? + y? = 1 and x2 + y? = 4 that lies above the x axis. Using Green's Theorem results in an equality of the following form: L(- In(a² + y°)i + tan -1 .dr = Enter a, b, c, d and f(r, 0) below so that equality holds for equation (1) above. f(r, 0) = O sin(e) - sin(e) cos(0) tan(0) - cos(4) - tan(0) a b = c = d = a, b, c and d are integers. Do not use decimal points. EVALUATE the given line integral by integrating the double integral on the RHS of equation (1). Enter your answer below. The answer is an integer.
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