859. The diagram shows the graph x³ + y³ - 3xy = 0. You have figured out that it is also the graph of the parametric 3t² 3t equation P₁ = (₁ (143 1375), defined for all t-values ex- cept -1. Notice that t is the slope of the segment that joins (0,0) to Pt. Use these formulas to find the area enclosed by this loop. 7

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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859. The diagram shows the graph x³ + y³ - 3xy = 0. You
have figured out that it is also the graph of the parametric
= (₁
3t
1+t³
23)..
defined for all t-values ex-
1+ ³
cept 1. Notice that t is the slope of the segment that joins
(0, 0) to Pt. Use these formulas to find the area enclosed by
this loop.
equation Pt=
31²
Pt
R
x
Transcribed Image Text:859. The diagram shows the graph x³ + y³ - 3xy = 0. You have figured out that it is also the graph of the parametric = (₁ 3t 1+t³ 23).. defined for all t-values ex- 1+ ³ cept 1. Notice that t is the slope of the segment that joins (0, 0) to Pt. Use these formulas to find the area enclosed by this loop. equation Pt= 31² Pt R x
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