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A gate to source resistor for a Mosfet turns it off when the power is turned off and prevents the buildup of static electricity. It can have a high value depending on how long it takes for it top discharge the capacitance.
A base-emitter resistor for a transistor usually has 10 times the transistor's typical base current so that the circuit will work fine if the transistor has an hFE from minimum to maximum.
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