Good evening,

Can you help me with those questions

1. A. Using a lower sum with two rectangles of equal width

B. Using a lower sum with four rectangles of equal width

C. Using an upper sum with two rectangles of equal width

D. Using an upper sum with four rectangles of equal width

\fFind the area of the region enclosed by the curves y - 2x = 7 and x - y = 4. The area of the region enclosed by the curves is (Simplify your answer.)Find the area of the region enclosed by the curves y = x2 - 4x and y = - x2 + 2x. The area of the region enclosed by the curves is (Type an integer or a simplified fraction.)Find the total area of the shaded region bounded by the following curves. x = 8y2 - 8y x = 62- 6y The area of the shaded region is (Type an integer or a simplified fraction.)Find the total area of the shaded regions. . . . The total area of the shaded regions is (Simplify your answer.) Ay 25 YE XN 25 x 20 15- 10 15- X B 2 4 8 4-10 -15 -20 - 25Find the total area of the region between the x-axis and the graph of y = - x - 3x, - 7sx53. . . . The total area of the region between the x-axis and the graph of y = - x - 3x, - 7Sx5 3 is (Simplify your answer.)Use finite approximations to estimate the area under the graph of the function f(x) = 24 - x" - 2x between x = - 6 and x = 4 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width . . . a. The area under the graph of f(x) using a lower sum with two rectangles of equal width is . (Type an integer or a decimal.)Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base, estimate the area under the graph using first two and then four rectangles. f(x) = x2 between x = 0 and x = 1 Using two rectangles to estimate, the area under f(x) is approximately (Type an integer or a simplified fraction.)Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using two and then four rectangles. y = 81 - x2 between x = - 9 and x = 9 . . . For two rectangles, area ~ . (Type an integer or a decimal.)