Let / be a continuous positive function on the interval [a, b]. Assume f= F. Explain what each of the following expressions represents on the indicated graph. Pay close attention to the notation. (a) F(b) F(a) on the graph of f. O The difference between the slope of the tangent line to fat x = b and the slope of the tangent line to fat x = a. The change in f from x = a to x = b. The area under the secant line between the points (a, f(a)) and (b, f(b)). O The area under the curve y = f(x) on the interval [a, b]. The slope of the secant line between the points (a, f(a)) and (b, f(b)). O The slope of the tangent line to fat x = a. O The average value of fover the interval [a, b]. fro b-a O The difference between the slope of the tangent line to Fat x = b and the slope of the tangent line to Fat x = a. The change in F from x = a to x = b. O The area under the secant line between the points (a, F(a)) and (b, F(b)). O The area under the curve y = F(x) on the interval [a, b]. The slope of the secant line between the points (a, F(a)) and (b, F(b)). O The slope of the tangent line to Fat x = a. The average value of F over the interval [a, b]. (b) (c) [ f(x)dx on the graph of F. f(x)dx on the graph of f. b-a O The difference between the slope of the tangent line to fat x = b and the slope of the tangent line to fat x = a. The change in f from x = a to x = b. O The area under the secant line between the points (a, f(a)) and (b, f(b)). The area under the curve y = f(x) on the interval [a, b]. O The slope of the secant line between the points (a, f(a)) and (b, f(b)). The slope of the tangent line to fat x = a. O The average value of fover the interval [a, b].