wire with variable density sits inside the xy-plane. The wire is given by the curve y=x2 + 1 for 1.5 ≤ x ≤ 1.5; the density is given by ρ(x,y)= 5 +.03x. Set up integrals (you do not need to evaluate) to find: (a) the length of the wire, (b) the mass of the wire.
wire with variable density sits inside the xy-plane. The wire is given by the curve y=x2 + 1 for 1.5 ≤ x ≤ 1.5; the density is given by ρ(x,y)= 5 +.03x. Set up integrals (you do not need to evaluate) to find: (a) the length of the wire, (b) the mass of the wire.
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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A wire with variable density sits inside the xy-plane. The wire is given by the curve
y=x2 + 1 for 1.5 ≤ x ≤ 1.5; the density is given by ρ(x,y)= 5 +.03x.
Set up integrals (you do not need to evaluate) to find:
(a) the length of the wire,
(b) the mass of the wire.
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