Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function. x2 - 7 y = X - 4Identify the coordinates of the local maximum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no local maximum points. Identify the coordinates of the local minimum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local minimum point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no local minimum points.Identify the coordinates of the absolute maximum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute maximum point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no absolute maximum points. Identify the coordinates of the absolute minimum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute minimum point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no absolute minimum points.Find the inflection points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no inflection points.Now sketch the graph. Choose the correct answer below. O A. O B. Ay 25 + O C. Ay 25 + OD. 25 Ty X 12 X X X 12Express the following limit as a definite integral. n - lim AXK where P is a partition of [2,3] 1 + 2ck |P|-0 k = 1 The definite integral is dx. AXK.Find the total area of the shaded region. The area is Find the area, A, between the curves 3! = In x and y = In 2x from x = 1 to x = 3. The area is A = (Type an exact answer.)