FRO 1 A graphing calculator is required for the following preelem. Let x} = |og|{:i:2 + '1}, x] = 1D x2. and R be the region bounded luv the graphs of f and g, as shown above. :1 Find the volume of the solid generated when R is revolved about the horizontal line 3; = 10. h] Region R is the base of a solid. For this solid, eaoh cross section perpendicular to the x-axis is an isosceles light triangle with a leg in R. Find the volume of the solid. 1:] The honzontal line 3; = 'l divides region E into two regions such that the ratio of the area of the larger region to the area of the smaller region is #:1. Find the value of k. FRO 2 A graphing calculator is required for the following problem. A grain elevator lls each railcar of a train with grain. The number of railcars lled after t hours is given by a differentiable function R for I] S t 5 15. Values of R} at various times tare given in the table above. 3] Use the data in the table to approximate the rate at which the number of lled railcars is changing at time t = 5. Show the computations that lead to your answer. Indicate units of measure. b) Will the instantaneous rate at which the number of lled railcars is changing at some time t be equal to the approximation in part [a]? Justifyr your answer. :1 Use a trapezoidal sum with the four subintenrals indicated in the table to estimate 115125 R[t}dt. Using correct units, interpret the meaning of %fss{t]dt in the context of this problem. cl} Determine Ilm'md't. Using correct units, explain the meaning of the expression in the oontextof this