The recommended operating voltage range for the NE564D is 9V to 12V, although it can operate up to 15V with reduced performance.
To ensure stability, make sure to decouple the power supply with a 10uF capacitor, use a low-ESR capacitor for the compensation pin (pin 8), and keep the layout symmetrical and compact.
The maximum input signal amplitude that the NE564D can handle is approximately 2Vpp, beyond which the device may saturate or become unstable.
Yes, the NE564D can be used as a VCO by applying a control voltage to the Vc pin (pin 5). However, the frequency range and linearity may not be as good as a dedicated VCO IC.
The values of R1, R2, C1, and C2 depend on the desired frequency range, gain, and stability. A good starting point is to use the values suggested in the datasheet, and then adjust them based on simulation and experimentation.