$1.$ Considering the fluid dynamics, determine the value for the change in pressure as the blood flows from the normal to narrowed section of the artery.$$ Show all working, equations and include all assumptions.

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$2.$ The normal section of the artery above has an area of $1\mathrm{.}2$ cm$2.$ Assuming that all blood passing in the circulatory system passes through the capillaries, where the average blood velocity is $3*10-2$cm$/$s$.$ Determine the total cross$-$sectional area of the capillaries.

$3.$ Consider now that blood is a viscous fluid, if the radius of an arteriole changed from $50$m to $40$m$,$ would the flow rate increase or decrease? Explain.$$