NI 2 (b) Select the correct choice below and fill in the answer box(es) to complete your choice. (Type exact answers.) OA. If A is the first point on the curve, (), then the value of the line integral is (p(A). OB. If B is the last point on the curve, then the value of the line integral is (B). OC. If A is the first point on the curve, , and B is the last point on the curve, (..), then the value of the line integral is ‹p(A) — ‹p(B). ⒸD. If A is the first point on the curve, (), and B is the last point on the curve, (), then the value of the line integral is p(B) - (A). ▼

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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S
Vip • dr for the following function and oriented curve C (a) using a parametric description of C and evaluating the
integral directly, and (b) using the Fundamental Theorem for line integrals.
с
π
x² + y² + z²
P(x,y,z) =
- (cost. sint.).
7π
, for ≤t≤
2 6
2
Evaluate the line integral
NI
C: r(t) = (cost, sin t,
(b) Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type exact answers.)
OA. If A is the first point on the curve, (
B. If B is the last point on the curve,
OC. If A is the first point on the curve,
D. If A is the first point on the curve,
then the value of the line integral is
(A).
then the value of the line integral is (B).
), and B is the last point on the curve, (..), then the value of the line integral is
..), and B is the last point on the curve, (..), then the value of the line integral is
(A) – ¶(B).
(B) – q(A).
Transcribed Image Text:S Vip • dr for the following function and oriented curve C (a) using a parametric description of C and evaluating the integral directly, and (b) using the Fundamental Theorem for line integrals. с π x² + y² + z² P(x,y,z) = - (cost. sint.). 7π , for ≤t≤ 2 6 2 Evaluate the line integral NI C: r(t) = (cost, sin t, (b) Select the correct choice below and fill in the answer box(es) to complete your choice. (Type exact answers.) OA. If A is the first point on the curve, ( B. If B is the last point on the curve, OC. If A is the first point on the curve, D. If A is the first point on the curve, then the value of the line integral is (A). then the value of the line integral is (B). ), and B is the last point on the curve, (..), then the value of the line integral is ..), and B is the last point on the curve, (..), then the value of the line integral is (A) – ¶(B). (B) – q(A).
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