The Function $R ( t ) = 42 t - t ^ { 2 }$

question 93

Multiple Choice

The function $R ( t ) = 42 t - t ^ { 2 }$ represents the value of the U.S. dollar in Indian rupees as a function of time t in days.Find the average rates of change of $R ( t )$ over the time intervals $[ t , t + h ]$ , where t is as indicated and $h = 1$ , $0.1$ , $0.01$ , and $0.0001$ days. Hence, estimate (using $h = 0.0001$ ) the instantaneous rate of change of R at time $t = 7$ . Please round the instantaneous rate to the nearest whole number.

• A)29
• B) 25
• C) 27
• D) 28
• E) 30

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