Let R be the finite region bounded by the graphs of x = 0, y = 3e^x and y = 27e^-x. The volume of the solid formed when R is revolved around the line x = -2. Integrate with respect to y.

Suppose g(x) = f(x + 3) + 4. which statement best compares the graph of g(x) with the graph of f(x)?

John has 1/2 pound of oranges to share with julie. if they share the oranges equally, how much will each of them have?

The average daily maximum temperature for laura’s hometown can be modeled by the function f(x)=4.5sin(πx/6)+11.8 , where f(x) is the temperature in °c and x is the month. x = 0 corresponds to january. what is the average daily maximum temperature in may? round to the nearest tenth of a degree if needed. use 3.14 for π .