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c Application 1. a. Utilize the video link to answer the questions which follow: https://www.youtube.com/watch?v=ipBoVSMVzp0 A landowner has 400 meters of fencing to enclose a rectangular space for her emus. She only needs to fence three sides since the fourth side is blocked by a mountain. Answer the following questions while showing your thought process and all associated calculations along the way. Make sure to use appropriate units in your final results. i) Find the dimensions of this rectangular space so that the landowner produces the largest area possible for her emus. ii) Give the maximum area the landowner can use for her fencing. 2 x ty = 400 A = X. y y= 400- 2x A= X (400- 2x) = 400x- 2x2 y = 400 - 2( 100 ) = 200 X = 400 A = 100. 200 = 20,000 2 (-2 ) = 100 b. At some point while you were working part a, you created a quadratic equation. i) Provide an appropriate viewing window within the context of the problem to display 40 0x - 2x2 the quadratic equation. Make sure you can easily view the vertex in this window. Also, don't use negative values since the dimensions (nor the area) would ever be negative. & width xmin: xmax: 200 xscl 20 Total Pence= 400 m ymin:O ymax: 20,000 yscl : 2, 000 2 sides : 200 each ii) Describe what x represents in the context of this problem. The width of fenced area across from the mountain Describe what y represents in the context of this problem. The area enclosed by the Fence iii) Check your results from part a. Use your new viewing window along with steps provided in the video to determine the vertex of the quadratic found in part a. A: 400 (150) - 2(100)2- 41060- A= 2x2 +400X X = - 2 4:400 = 420=100 (100, 20.000 20000 c. Provide a summative statement of your numerical results. In other words, summarize your findings with a statement which makes sense in the context of the real-world scenario. Make sure to use appropriate units in this statement