a) +++ where C is the helix r(t) = cos(t) i + sin(t)j +t k, Osts2T

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate the following integrals.
a)
+x+z)ds where Cis the helix r(t) = cos(t) i + sin(t), +t k, Osts2t
b)
x'dx +y°dy. where C consists of the arc of the circle x+y =4 from the point (2.0) to the point (0,2).
9 F.dr, where F is the vector field F(x,y.z)= x i - zj +yk and cs the curve r(t) = 2t i +3t j-t'k, -1sts1.
Transcribed Image Text:Evaluate the following integrals. a) +x+z)ds where Cis the helix r(t) = cos(t) i + sin(t), +t k, Osts2t b) x'dx +y°dy. where C consists of the arc of the circle x+y =4 from the point (2.0) to the point (0,2). 9 F.dr, where F is the vector field F(x,y.z)= x i - zj +yk and cs the curve r(t) = 2t i +3t j-t'k, -1sts1.
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