Sketch the region enclosed by + + y = 6 and ~ + y = 0. a) Favoring convenience, should you integrate with respect to I or y? b) What are the limits of integration? lower limit and upper limit c) Find the area of the region by integrating.Sketch the region enclosed by y = 5: and y = 915. Decide whether to integrate with respect to T or y. Then find the area of the region.Determine which graph corresponds to the area enclosed by the curves 1.! = 53:2 and y = 2 + 4. Find the area of the region between 11 = 5:2 and y = 1'2 + 4. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or yr. Then find the area of the region. 2y=4,y=3, and2y+253= The shaded region between the graphs of y = 2:2 + 2|] and y = 3:: 15 is displayed below in 25 orange. 4{} The shaded region lies between I = C] and :l: = C] . Atypical rectangle is shown in the diagram located at position x. 1'II"'.|"hat is the height of this rectangle, in terms of 2:? Now find the total area of the orange shaded region. Find the area of the region enclosed by y = 3.25: and .\"L' = 7 yz. Use horizontal strips to find the area, that is, integrate with respect to 1:. First find the 5r coordinates of the two points where 'y = 3.253 meets .\"L' = 7 ya. lower limit at = C] and upper limit d = C] d To find the area of the enclosed region from c to d we will integrate: [ g(y)dy where g{ 5r } = I: C] Evaluate the definite integral to find Area = C] Find c > 0 such that the area of the region enclosed by the parabolas y = * - c' and y = c' - x- is 250. C =Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by y = 53:2 and y = $2 + 9. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region? A factory selling cell phones has a marginal cost function C(@) = 0.01x - 3x + 229, where represents the number of cell phones, and a marginal revenue function given by R(@) = 429 -2x. Find the area between the graphs of these curves and I = 0. What does this area represent? total profit for 200 cell phones sold O total revenue for 200 cell phones sold O total cost for 200 cell phones sold O total profit for more than 200 cell phones soldSketch the region enclosed by y = e" , y = e" , and @ = 1. Find the area of the region.Set up the definite integral required to find the area of the region between the graph of y = 15 1:2 and y = 21' 4'? ever the interval if a: if 3. 1:1 I a: |''| Set up the definite integral required to find the area of the region between the graph of y = $2 14 and y = 6.1: 'i". {:1 f a: |''|