The line mass density of a wire is given by the formula p(x, y) = (3x² + 5y²³ +42²) g/cm. Calculate the total mass M of the wire if its shape is described by the equations: x (1)=√3 sint, y(t) = 3 cost, z(t)=2 sint, where 0≤1≤/2 and length is measured in centimetres. Present you answer in the exact form (don't use a calculator), and then calculate the mass of the wire up to three significant figures. Show your answer with the physical dimension (g, cm, sec).
The line mass density of a wire is given by the formula p(x, y) = (3x² + 5y²³ +42²) g/cm. Calculate the total mass M of the wire if its shape is described by the equations: x (1)=√3 sint, y(t) = 3 cost, z(t)=2 sint, where 0≤1≤/2 and length is measured in centimetres. Present you answer in the exact form (don't use a calculator), and then calculate the mass of the wire up to three significant figures. Show your answer with the physical dimension (g, cm, sec).
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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Transcribed Image Text:The line mass density of a wire is given by the formula p(x, y) = (3x² + 5y³ + 4z²) g/cm.
Calculate the total mass M of the wire if its shape is described by the equations:
x (1)=√3 sint, y(t) = 3 cost, z(t)=2 sint, where 0≤1≤z/2
and length is measured in centimetres.
Present you answer in the exact form (don't use a calculator), and then calculate the mass of the
wire up to three significant figures. Show your answer with the physical dimension (g, cm, sec).
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