Review AP Calculus AB 8.3 by linking rate functions, definite integrals and net change, then return to focused questions on the accumulation skills you need to improve.
A function f(t) gives the rate of evaporation of water, in liters per hour, from a pond, where t is measured in hours since 12 noon. Which of the following gives the meaning of in the context described?
The total volume of water, in liters, that evaporated from the pond during the first 10 hours after 12 noon
The total volume of water, in liters, that evaporated from the pond between 4 P.M. and 10 P.M.
The net change in the rate of evaporation, in liters per hour, from the pond between 4 P.M. and 10 P.M.
The average rate of evaporation, in liters per hour, from the pond between 4 P.M. and 10 P.M.
The average rate of change in the rate of evaporation, in liters per hour per hour, from the pond between 4 P.M. and 10 P.M.
A student starts reading a book at time t=0 minutes and continues reading for the next 10 minutes. The rate at which the student reads is modeled by the differentiable function R, where R(t) is measured in words per minute. Selected values of R(t) are given in the table shown.
A teacher also starts reading at time t=0 minutes and continues reading for the next 10 minutes. The rate at which the teacher reads is modeled by the function W defined by , where W(t) is measured in words per minute. Based on the model, how many words has the teacher read by the end of the 10 minutes? Show the work that leads to your answer.