(Solved): My math lab please and fill out the table  I he tigure given below is a storage tank that cont ...

My math lab please and fill out the table 

I he tigure given below is a storage tank that contains a IIquid at depth \( y \), where \( y=U \) when the tank is halt tull. LIquid is withdrawn at a constant flow rate \( Q \) to meet demands. The contents are replenished at a sinusoidal rate \( 3 Q \sin ^{2}(t) \). Suppose that the outflow is not constant but rather depends on the depth. The differential equation for depth can be written as \[ \frac{d y}{d t}=3 \frac{Q}{A} \sin ^{2}(t)-\frac{\alpha(1+y)^{1.5}}{A} \] Use Euler's method to solve for the depth \( y \) from \( t=0 \) to \( 10 \mathrm{~d} \) with a step size of \( 0.5 \mathrm{~d} \). The parameter values are \( A=1250 \mathrm{~m}^{2}, Q=450 \) \( \mathrm{m}^{3} / \mathrm{d} \), and \( \alpha=150 \). Assume that the initial condition is \( y(0)=0 \). (Round the final answers to five decimal places. Include a minus sign if necessary) The values are tabulated below: