For A$-$C please be detailed and precise $!!!!!$

A$.$ Derive the expressions for Vout in terms of Vs$,$ R$1,$ R$2,$ R$3,$ and R$4.$ Use your voltages and$/$or currents from your labelled schematic.

B$.$ Derive conditions $($no numbers$)$ for the resistors $($R$1,$ R$2,$ R$3,$ R$4)$ to provide Vout $=0,$ Vout $>0,$ and Vout

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C$.$ Use your derived conditions for the resistors to select numerical values of resistances R$1,$ R$2,$ R$3,$ and R$4$ to meet design Specifications $1,2,$ and $3.$Verify these specifications are met with these selectionsusing simulation. Use a potentiometer to model the thermistor

Specification $1$ Vout $=0$ when current temperature is equal to room temperature $()$

Specification $2$ : Vout $>0$ when current temperature goes above room temperature $()$

Specification $3$ : Vout $<mtext></mtext><mn>0</mn>$ when current temperature goes below room temperature $()$

D$.$ Build your Part $1$ design in hardware a verify that it meets specifications $2$ and $3.$ Use something to heat the thermistor as well and cool it$.$ You can use your fingers to heat it up and an ice pack to cool it down for example. Provide screenshots $/$ videos to demonstrate this.

PLEASE PLEASE SHOW ME HOW TO DO THE HARDWARE PLEASE I NEED HELO I DO NOT KNOW PLEASEBE DETAILED WITH PICTURES