Given the training data below, answer the following questions regarding perceptron

learning. Initially, we randomly set $w_0=0,w_1=0\mathrm{.}1,w_2=0\mathrm{.}1,w_3=0\mathrm{.}1.$

a$.(30$pts$)$ Calculate the updated values of $w_0,w_1,w_2,w_3$ after the first training

record using the perceptron rule, given learning rate $=0\mathrm{.}1.$

b$.(30$pts$)$ Calculate the updated values of $w_0,w_1,w_2,w_3$ after the first training

record using the delta rule with stochastic gradient descent, given learning

rate $=0\mathrm{.}1.$

c$.(40$pts$)$ Calculate the updated values of $w_0,w_1,w_2,w_3$ after the first batch

using the delta rule with gradient descent, given learning rate $=0\mathrm{.}1,$ batch

size $=2$ and the first batch is comprised of the first two training records.