using elliptic curve cryptography technique for public and private key

generation. In the following, each step of the process is described, and you are asked to answer

question to find the public key for private key d is $2.$

Key Generation

Given an elliptic curve: y$^2=$ x$^3+2$x $+2$ mod $17$; generator A$=(5,1)$; Here,

p$=17,$ a$=2,$ b$=2,$

Private key: given a private key $$d$$ such that d $=2$

Public Key: Find the public key $$B$($Public key is defined as B $=$d

A$)$ using double and add algorithm.$x_3={}^2-x_1-x_2$modp;$y_3=(x_1-x_3)-y_1$modp

$=\frac{3x_1^2+a}{2y_1}$modp