In the temperature range between 0C and 700C the resistance R lin ohms (12)] of a certain platinum resistance thermometer is given by R 10+ 0.04124T-1.779 x 10-57 where I is the temperature in degrees Celsius. Where in the interval from 0C to 700C is the resistance of the thermometer most sensitive and least sensitive to temperature changes? [Hint: Consider the size of dR/dT in the interval 0 T 700.]