Question $3$In the code box below, install Pint and import the function UnitRegistry from Pint.$[]$from pint import UnitRegistryQuestion $4$Sometimes, we wish to rename the default functions from libraries, just as a matter of convenience. In the code box below, rename UnitRegistry$()$ as units.$[]$units $=$ UnitRegistry$()$Question $5$In the code box below, install NumPy import the square root function, pi$,$ the sine function and cosine function from NumPy.$[]$from numpy import pi$,$ sin$,$ cosQuestion $6$Compute$2(/4)+2(/4)$in the code box below.$[]$from numpy import sin$,$ cossin$($pi$/4)**2+$ cos$($pi$/4)**21\mathrm{.}0$Question $7$In this question, h has already been defined to be the height of the Empire State Building in meters.Suppose you bring a $10$ foot pole to the top of the Empire State Building and use it to drop the penny from h plus $10$ feet.Define a variable named foot that contains the unit foot provided by the UnitRegistry we called units. Define a variable named pole$\_$height and give it the value $10$ feet.What happens if you add h$,$ which is in units of meters, to pole$\_$height, which is in units of feet? What happens if you write the addition the other way around?$[]$h $=381*$ units.meter$[]$foot $=$ units.footpole$\_$height $=10*$ footh $+$ pole$\_$height$[]$pole$\_$height $+$ hQuestion $8$Why would it be nonsensical to add a and t$?$ What happens if you try?$[]$a $=9\mathrm{.}8*$ units.meter $/$ units.second$**2$t $=3\mathrm{.}4*$ units.second$[]$a $+$ tIn this example, you should get a DimensionalityError, which indicates that you have violated a rule of dimensional analysis: you cannot add quantities with different dimensions.The error messages you get from Python are big and scary, but if you read them carefully, they contain a lot of useful information.The last line usually tells you what type of error happened, and sometimes additional information, so you might want to start from the bottom and read up$.$The previous lines are a traceback of what was happening when the error occurred. The first section of the traceback shows the code you wrote. The following sections are often from Python libraries.Question $9$Suppose I run a $10$K race in $44$:$52(44$ minutes and $52$ seconds$).$ What is my average pace in minutes per mile? $($Note that $10$k means $10$ kilometers$).$