Question: 5) Let f be the function f (x) = e*cos(x). (a) Find the average rate of change of f on the interval 0 S x

5) Let f be the function f (x) = e*cos(x). (a)

5) Let f be the function f (x) = e*cos(x). (a) Find the average rate of change of f on the interval 0 S x S n. Interpret the meaning of AROC in relation to f over the given interval. Provide a real- world context to f and give an explanation of the meaning of AROC using appropriate units. (Note: Units of y and x is of your choosing) (b) What is the derivative of f; i.e., what is f'(x)? (c) Find the slope of the line tangent to the graph of f at the point x = 2. What does this tell you about the function f at the point x = ? How does this fair in relation to AROC from part (a)? (d) Give the equation of the tangent at x = 2

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