PART $2$: Inverting Summing Amplifier

For the inverting summing amplifier circuit of Figure $3\mathrm{.}2,$

a$)$ Derive the output equation, Vo$.$

b$)$ Get the mathematical expression for the output waveform, vo given in Figure $3\mathrm{.}3.$

c$)$ Determine the value of $R_1$ and $R_2$ when $R_F$ is equal to $100k$ and $v_1$ is a sine wave or square wave of $1$ Vpk with a frequency $1$ kHz and $V_2$ is a DC voltage of $5$ V $.($Hint: Use answer in $($b$)).$

d$)$ Based on the values obtained in part $($c$),$ generate the output voltage waveform, vo for the circuit of Figure $3\mathrm{.}2$ using Multisim. Print out the instrument connection and curve plot as a function of voltage $(V)$ against time $(t).$ Highlight the important measurement readings.