Problem $4$: Use the superposition method to determine the slope and deflection of the beam. Note the different inertia in each part of the beam. Remember to work with consistent units.

$I=$suv$({10}^2)mm*$

$4\mathrm{.}1)$ Determine the deflection at point $B.$ Provide your answer in millimeters. Remember to include the direction.

$4\mathrm{.}2)$ Determine the slope at point $B.$ Remember to include the direction.

$4\mathrm{.}3)$ Determine the deflection at point $C.$ Provide your answer in millimeters. Remember to include the direction.

$4\mathrm{.}4)$ Determine the slope at point $C.$ Remember to include the direction.