(a) Set up the integral used to evaluate the line integral using a parametric description of C. Use increasing limits of integration. dt (Type exact answers.) (b) Select the correct choice below and fill in the answer box(es) to complete your choice. (Type exact answers.) A. If A is the first point on the curve, ( B. If B is the last point on the curve, (C. If A is the first point on the curve, D. If A is the first point on the curve, Using either method, Vop.dr = C (Type an exact answer.) ), and B is the last point on the curve, ), 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 (A). ), then the value of the line integral is p(A)-q(B). choose then the value of the line integral is p(B)-(A).
(a) Set up the integral used to evaluate the line integral using a parametric description of C. Use increasing limits of integration. dt (Type exact answers.) (b) Select the correct choice below and fill in the answer box(es) to complete your choice. (Type exact answers.) A. If A is the first point on the curve, ( B. If B is the last point on the curve, (C. If A is the first point on the curve, D. If A is the first point on the curve, Using either method, Vop.dr = C (Type an exact answer.) ), and B is the last point on the curve, ), 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 (A). ), then the value of the line integral is p(A)-q(B). choose 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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Question
29
Transcribed Image Text:(a) Set up the integral used to evaluate the line integral using a parametric description of C. Use increasing limits of integration.
dt (Type exact answers.)
(b) Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type exact answers.)
A. If A is the first point on the curve,
B. If B is the last point on the curve,
c.
If A is the first point on the curve,
D. If A is the first point on the curve,
Using either method,
·SVq.dr=
C
(Type an exact answer.)
1
(.), then the value of the line integral is q(A) – wp(B).
and B is the last point on the curve,
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 (A).
choose
then the value of the line integral is (B) - (A).
Transcribed Image Text:Evaluate the line integral [V. 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.
x² + y² +z²
2
p(x,y,z)=
nt.).
C: r(t) = (cost, sin t,;
(1) = (cost
for Osts
4t
3
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