16.3.31 Question Help a) Find parametrizations for the segments that make up C. Let F= V(x'y°) and let C be the path in the xy-plane from (-2,2) to (2,2) that consists of the line segment from (-2,2) to (0,0) followed by the ine segment from (0,0) to (2,2). Evaluate C, r,(t) = (-2+ 2t )i + (2 – 2t)j, 0
16.3.31 Question Help a) Find parametrizations for the segments that make up C. Let F= V(x'y°) and let C be the path in the xy-plane from (-2,2) to (2,2) that consists of the line segment from (-2,2) to (0,0) followed by the ine segment from (0,0) to (2,2). Evaluate C, r,(t) = (-2+ 2t )i + (2 – 2t)j, 0
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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How do I solve the rest of this problem? I tried plugging in the x and y components and following the integral F(r(t))•r'(t) equation, but it wasn't correct.
Transcribed Image Text:16.3.31
Question Help ▼
a) Find parametrizations for the segments that
make up C.
Let F = V(xy) and let C be the path in the
xy plane from (-2,2) to (2,2) that consists of the
ine segment from (- 2,2) to (0,0) followed by the
line segment from (0,0) to (2,2) Evaluate
C, 1(0) =(-2+2t )i + (2 – 2t)j, 0<t<1
C2 r2(t) = (21)i + ( 21 )j, 0sts1
F dr in two ways.
Evaluate the integral.
F•dr =
a) Find parametrizations for the segments that
make up C and evaluate the integral.
7.6
b) Use f(x y) = x'y° as a potential function for F.
Enter your answer in the answer box and thon oli
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