Use differentials to estimate the range of temperatures


The temperature T of a frozen taco placed in a microwave depends on the power wattage w and the time t used, such that T(w,t) = 0.015 w0.6 t1.2. The micorwave is built to have a power of w = 1000+/-2 watts, and the time used is t = 60 +/-0.2 seconds (the timer is slightly inaccurate). Use differentials to estimate the range of temperatures that the taco might attain - find the reference temperature Tref and the maximum deviation dT; the range is the Tref - dT to Tref + dT.

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Mathematics: Use differentials to estimate the range of temperatures
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