Use a geometric formula to find the area between the graphs of y = f(x) and y = g(x) over the indicated interval. f(x) = 56, g(x) = 38; [4, 14] The area is square units.Find the area bounded by the graphs of the indicated equations over the given interval. [Hint: Area is always a positive quantity.] y = 3x2 - 12; y = 0; - 25x53 The area is (Round to three d.) square units. units. cubic units.Set up a definite integral that represents the indicated shaded area over the interval [c,d]. y=h (x) y=n(x) X a cd Choose the correct answer below. O A . [nex ) ax OB. - [n(x) + h(x)] dx C O O c. [h ( x ) - n ( x ) ] dx OD. [n(x) - h(x)] dx O E. [n ( x ) + h ( x ) ] dx OF. n ( x ) dxUse a graphing calculator to find where the curves intersect and to find the area between the curves. y = ex, y= - 4x2 - 5x a. The left point of intersection is. (Type integers or decimals rounded to the nearest thousandth as needed. Type an ordered pair.) b. The right point of intersection is. (Type integers or decimals rounded to the nearest thousandth as needed. Type an ordered pair.) c. The area between the curves is approximately |square units. (Type an integer or decimal rounded to the nearest thousandth as needed. Use the answers from parts a and b to find this answer.)A yeast culture is growing at a rate of W'(t) = 0.20.0/ grams per hour. Find the area between the graph of W' and the t-axis over the interval [0, 10], and interpret your results. The area under the curve, rounded to three decimal places, is square units. This means that the weight gain over ten hours will be grams of yeast. 2.896 2.8961 2.8962