Using the parametric equations x=6*4^t-2 and y=3*(4^(-t))-2, Find the Cartesian equation of the curve in the form xy+ax+by=c
Firstly make t the subject for both equations
(x-7)/6=4^t
(y+2)/3=4^(-t)
Times them together to eliminate t
((x-7)/6)((y+2)/3) = (4^t)*(4^-t)=4^0=1
Rearrange to the form required
(x-7)(x+2)=18
xy-7y+2x-14=18
xy+2x-7y=32
AC
Related Maths A Level answers
All answers ▸Find the indefinite integral tan(5x)tan(3x)tan(2x)
Given a table showing grouped data and the frequency of each class, find the median Q2
The arithmetic series is given by (k+1)+(2k+3)+(3k+5)+...+303. a)Find the number of term in the series in terms of k. b) Show that the sum of the series is given by (152k+46208)/(k+2). c)Given that S=2568, find k.
When performing differentiation in core 3, in what circumstances do I apply the chain, product and quotient rule?