In an instrumentation system, there is a need to take the difference between two signals, one of v1 = 2sin(2π × 60t) + 0.01 sin(2π × 1000t) volts and another of v2 = 2sin(2π ×60t)-0.01 sin(2π ×1000t) volts. Draw a circuit that finds the required difference using two op amps and mainly 100-kΩ resistors. Since it is desirable to amplify the 1000-Hz component in the process, arrange to provide an overall gain of 100 as well. The op amps available are ideal except that their output voltage swing is limited to ±10 V.