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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...
AC
Answered by Anya C. • Maths tutor
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f(x)= 2x^3 -7x^2 + 2x +3. Given that (x-3) is a factor of f(x), express f(x) in a fully factorised form.

We will mainly be using a whiteboard but here are some notes:Is (x-3) is a factor of f(x), then if x=3, f(x) =0. I.e. x=3 is a solution too. If we know x =3 is a solution we can solve the other 2 roots by di...
RR
Answered by Rumana R. • Maths tutor
5189 Views

Describe the process of synaptic transmission with regard to action potentials

the action potential arrives at the terminal of the axon. The arrival of the action potential will cause voltage gated calcium ions to open allowing the calcium ions to rush into the axon terminal. The arriv...
AH
Answered by Ali H. • Biology tutor
2435 Views

Give two features of DNA AND explain how each one is important in DNA replication.

1. DNA is double stranded. This means that when the strands separate during replication, both strands can be used as templates to produce two new double stranded DNA ,each containing one of the original stra...
AM
Answered by Adam M. • Biology tutor
4542 Views

Explain how Descartes argues that we can gain a priori knowledge through intuition and deduction

I will begin by considering what apriori knowledge and then intuition and deduction are. On the basis of this I will explain how Descartes argues we can gain a priori knowledge through intuition and deductio...
SR
Answered by Sophie R. • Philosophy tutor
18640 Views