J's answer to Kathy's Secondary 4 A Maths Singapore question.
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Alternative answer :
lny = 2lnx + c
lny = lnx² + c
e^(lny) = e^(lnx² + c) = e^(lnx²) (e^c)
y = (e^c) x²
Sub y = 18, x = 3
18 = (e^c)(3²)
18 = 9e^c
e^c = 2
So y = 2x²
lny = 2lnx + c
lny = lnx² + c
e^(lny) = e^(lnx² + c) = e^(lnx²) (e^c)
y = (e^c) x²
Sub y = 18, x = 3
18 = (e^c)(3²)
18 = 9e^c
e^c = 2
So y = 2x²
Date Posted:
4 years ago