Find the length of the parametric curve defined over the given intervalx=3t-6,y=6t+1,0<=t<=1

Tyra 2021-09-14 Answered
Find the length of the parametric curve defined over the given interval x=3t6,y=6t+1,0t1
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Expert Answer

delilnaT
Answered 2021-09-15 Author has 94 answers
x=3t6,y=6t+1,0t1
length=ab(dxdt)2+(dydt)2dt
dxdt=ddt[3t6]=3dtdtd6dt=3x10=3
dydt=ddt[6t1]=6dtdt+d1dt=6x1+0=6
length=0132+62dt
=0145dt=4501dt
=45[t]01
=45[10]=45
length=45=35
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