For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph. g(x) =x -12x- + 45x +6 a) What are the coordinates of the relative extrema? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The relative minimum point(s) is/are and the relative maximum point(s) is/are (Simplify your answers. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.) O B. The relative minimum point(s) is/are |and there are no relative maximum point(s). (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.) O C. The relative maximum point(s) is/are and there are no relative minimum point(s). (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.) O D. There are no relative minimum points and there are no relative maximum points.Find the area of the region bounded by the graphs of the given + equations. y =x, y=X , x=0, x = 1 X -9.5 Set up the integral(s) that will give the area of the region. Select the correct choice below and fill in any answer box(es) to complete the choice. O A . dx O B. dxFind a) any critical values and b) any relative extrema. ni t(x) =x +12x +7 a) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The critical value(s) of the function is/are (Use a comma to separate answers as needed.) B. The function has no critical values. b) Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O B. The relative minimum point(s) is/are and the relative maximum point(s) is/are (Simplify your answers. Type ordered pairs, using integers or fractions. Use a comma to separate answers as needed.) O C. The relative maximum point(s) is/are and there are no relative minimum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers asA coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 60 lb of coffee, disregarding any fixed costs. C'(x) = -0.022x + 3.50, for x $ 100 The total cost is $ (Round to the nearest cent as needed.)