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Nilus runs a blog that reviews computer parts, and she is investigating the effect of temperature, T, on the processing speed, V, of a CPU.

Nilus discovers that CPU speed (in MHz) decreases as the temperature (in degrees Celsius) increases. The rate of change of CPU speed with respect to temperature is discovered to be

dVdT=−12(T+1)MHz per ∘C
  1. By assuming that the rate of change is constant over intervals of width 1∘C, use a Riemann sum to estimate the total loss in processing speed when the computer changes from 0∘C to 10∘C.

  2. Given that the CPU performs at 4.5 MHz in freezing conditions, estimate the speed of the processor when T=10∘C

  3. Write an expression, using ∫ notation, which would give the exact processing speed when T=10


Give your answer to part (b), in MHz, to 2 decimal places.