In the accompanying graphic of a multi$-$layer neural network, input x$1=1$ and input x$2=3.$ Use your program to answer the following questions.

This set of problems involves using the Feed$-$forward, back propagation algorithm. Write a basic Feedforward, multilayer neural network progam and use the values in the accompanying graphic $($see preceding webpage$)$ to initialize your neural network $($see preceding webpage$),$ and set the following inputs and learning parameters: input x$1=1$ and input x$2=3$ with eta $=0\mathrm{.}1,$ a desired output of $0\mathrm{.}95$ and the weights as indicated in the graphic. Note that since there are no biases, do not include them nor update them.

Question $1$

$-$ What is the initial activation function value of Node $1?$ Answer to $4$ significant digits.

Question $2$

$-$ What is the initial activation value of Node $2?$ Answer to $4$ significant digits.

Question $3$

$-$ What is the initial activation value of Node $3?$ Answer to $4$ significant decimal digits.

Question $4$

$-$ Using your previously calculated values, what is the updated weight for the link connecting node $1$ with node $3?$ Answer to $4$ significant decimal digits.

Question $5$

$-$ Using the data you've calculated, what is the updated weight for the link connecting Node $2$ with Node $3?$ Answer to $4$ significant decimal digits.

Question $6$

$-$ For the updated weight from input $1$ to node $2,$ by how much does the weight increase or decrease? Answer using $4$ significant decimal digits.