Write TensorFlow code to provide the solutions to the following simple problems:

$1.$ Declare two constant tensors that have the values of $15$ and $45.$ Add these two tensors and print

out the results.

$2.$ Declare two variable tensors, a and b$,$ that are initialized with scalar values of $2\mathrm{.}75$ and $8\mathrm{.}5.$ Find

their product and print out the result.

$3.$ Create two placeholders: x and y $-$ that are both scalars of $32-$bit floats. Assign $5\mathrm{.}25$ to x and $12\mathrm{.}6$

to y$,$ multiply them together, and print out the results.

$4.$ Create one placeholder: z $-$ that is an N$-$Dimensional array $($N can be $>=1)$ that can have any

shape $($shape $=$ None$).$ Feed this vector $[1,3,5,7,9]$ into z and multiply it by $3.$ Display the

results.

$5.$ Create a constant tensor that is a matrix of the shape $(8,8).$ The matrix is initialized with all

ones $(1).$ Create a variable tensor that is also a matrix of the shape $(8,8)$ and initialized with

random integer values between $0$ and $99.$ Add these two tensors and display the results.