Question

Express x = e^(-3t) , y= 5e^(2t) in the form y= f(x) by eliminating the parameter... need some help on simplifying for t on x = e^(-3t)...... Any help ????

Answer 1

ln(x)=-3t
t=ln(x)/-3

ln(y)=(ln(5)+2t)
t=(ln(y)-ln(5))/2

t=t
ln(x)/-3=(ln(y)-ln(5))/2
e^(ln(x)/-3)=e^((ln(y)-ln(5))/2)
e^(ln(x)/-3)=sqrt(y/5)

...

Answer 2

thanks for the reminder